Pub Date : 2022-01-01DOI: 10.22075/IJNAA.2021.23361.2523
S. Semnani, Samira Sabeti
Let $ X(V,E) $ be a simple graph with $ n $ vertices and $ m $ edges without isolated vertices. Denote by $ B = (b_{ij})_{mtimes m} $ the edge adjacency matrix of $ X $. Eigenvalues of the matrix $ B $, $mu_1, mu_2, cdots, mu_m $, are the edge spectrum of the graph $ X $. An important edge spectrum-based invariant is the graph energy, defined as $ E_e(X) =sum_{i=1}^{m} vert mu_i vert $. Suppose $ B^{'} $ be an edge subset of $ E(X) $ (set of edges of $ X $). For any $ e in B^{'} $ the degree of the edge $ e_i $ with respect to the subset $ B^{'} $ is defined as the number of edges in $ B^{'} $ that are adjacent to $ e_i $. We call it as $ varepsilon $-degree and is denoted by $ varepsilon_i $. Denote $ mu_1(X) $ as the largest eigenvalue of the graph $ X $ and $ s_i $ as the sum of $ varepsilon $-degree of edges that are adjacent to $ e_i $. In this paper, we give lower bounds of $ mu_1(X) $ and $ mu_1^{D^{'}}(X) $ in terms of $ varepsilon $-degree. Consequently, some existing bounds on the graph invariants $ E_e(X) $ are improved.
设$ X(V,E) $是一个简单的图，有$ n $个顶点和$ m $条边，没有孤立的顶点。用$ B = (b_{ij})_{mtimes m} $表示$ X $的边邻接矩阵。矩阵$ B $， $mu_1， $ mu_2, cdots, mu_m $的特征值是图$ X $的边谱。一个重要的基于边缘谱的不变量是图能量，定义为$ E_e(X) =sum_{i=1}^{m} vert mu_i vert $。假设$ B^{'} $是$ E(X) $ ($ X $的边集)的边子集。对于B^{'} $中的任意$ e，边$ e_i $相对于子集$ B^{'} $的度定义为$ B^{'} $中与$ e_i $相邻的边的个数。我们称它为$ varepsilon $-degree，用$ varepsilon_i $表示。表示$ mu_1(X) $为图$ X $的最大特征值，$ s_i $为与$ e_i $相邻的$ varepsilon $-度的边的和。本文给出了$ mu_1(X) $和$ mu_1^{D^{'}}(X) $的下界用$ varepsilon $-degree表示。因此，改进了图不变量$ E_e(X) $上的一些已有界。
{"title":"New bound for edge spectral radius and edge energy of graphs","authors":"S. Semnani, Samira Sabeti","doi":"10.22075/IJNAA.2021.23361.2523","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.23361.2523","url":null,"abstract":"Let $ X(V,E) $ be a simple graph with $ n $ vertices and $ m $ edges without isolated vertices. Denote by $ B = (b_{ij})_{mtimes m} $ the edge adjacency matrix of $ X $. Eigenvalues of the matrix $ B $, $mu_1, mu_2, cdots, mu_m $, are the edge spectrum of the graph $ X $. An important edge spectrum-based invariant is the graph energy, defined as $ E_e(X) =sum_{i=1}^{m} vert mu_i vert $. Suppose $ B^{'} $ be an edge subset of $ E(X) $ (set of edges of $ X $). For any $ e in B^{'} $ the degree of the edge $ e_i $ with respect to the subset $ B^{'} $ is defined as the number of edges in $ B^{'} $ that are adjacent to $ e_i $. We call it as $ varepsilon $-degree and is denoted by $ varepsilon_i $. Denote $ mu_1(X) $ as the largest eigenvalue of the graph $ X $ and $ s_i $ as the sum of $ varepsilon $-degree of edges that are adjacent to $ e_i $. In this paper, we give lower bounds of $ mu_1(X) $ and $ mu_1^{D^{'}}(X) $ in terms of $ varepsilon $-degree. Consequently, some existing bounds on the graph invariants $ E_e(X) $ are improved.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1175-1181"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68119335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.22075/IJNAA.2021.22496.2382
I. A. Wani, Mohammad Hedayetullah Mir, I. Nazir
Let $P(z) =displaystyle prod_{v=1}^n (z-z_v),$ be a monic polynomial of degree $n$, then, $G_gamma[P(z)] = displaystyle sum_{k=1}^n gamma_k prod_{{v=1},{v neq k}}^n (z-z_v),$ where $gamma= (gamma_1,gamma_2,dots,gamma_n)$ is a n-tuple of positive real numbers with $sum_{k=1}^n gamma_k = n$, be its generalized derivative. The classical Gauss-Lucas Theorem on the location of critical points have been extended to the class of generalized derivativecite{g}. In this paper, we extend the Specht Theorem and the results proved by A.Aziz cite{1} on the location of critical points to the class of generalized derivative .
{"title":"On the location of zeros of generalized derivative","authors":"I. A. Wani, Mohammad Hedayetullah Mir, I. Nazir","doi":"10.22075/IJNAA.2021.22496.2382","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.22496.2382","url":null,"abstract":"Let $P(z) =displaystyle prod_{v=1}^n (z-z_v),$ be a monic polynomial of degree $n$, then, $G_gamma[P(z)] = displaystyle sum_{k=1}^n gamma_k prod_{{v=1},{v neq k}}^n (z-z_v),$ where $gamma= (gamma_1,gamma_2,dots,gamma_n)$ is a n-tuple of positive real numbers with $sum_{k=1}^n gamma_k = n$, be its generalized derivative. The classical Gauss-Lucas Theorem on the location of critical points have been extended to the class of generalized derivativecite{g}. In this paper, we extend the Specht Theorem and the results proved by A.Aziz cite{1} on the location of critical points to the class of generalized derivative .","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"179-184"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68119442","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.22075/IJNAA.2021.23635.2570
M. Kazemi
In this research, we analyze the existence of solution for some nonlinear functional integral equations using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in Banach space. The results obtained in this paper cover many existence results obtained by numerous authors under some weaker conditions. We also give an example satisfying the conditions of our main theorem but not satisfying the conditions described by other authors.
{"title":"On existence of solutions for some functional integral equations in Banach algebra by fixed point theorem","authors":"M. Kazemi","doi":"10.22075/IJNAA.2021.23635.2570","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.23635.2570","url":null,"abstract":"In this research, we analyze the existence of solution for some nonlinear functional integral equations using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in Banach space. The results obtained in this paper cover many existence results obtained by numerous authors under some weaker conditions. We also give an example satisfying the conditions of our main theorem but not satisfying the conditions described by other authors.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"451-466"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68120327","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.22075/ijnaa.2021.6073
Z. K. Gaafar, M. H. Al-Sharoot
The aim of this paper is the needs to analyze the survival time for patients with Covide-19b who remains in the hospital until death, so it is necessary to study the survival times and estimate the reliability. The problem of finding the best distribution that fits the data is the key idea to analyze the data accurately. Consequently, the misspecifying of the distribution that fit the data leads to poor quality inference criteria of the phenomenon, also leads to unreliable reliability estimations. Many data of sciences areas are of different probability distributions depending on the nature of the phenomenon within the studied communities Some of the data are represented simple phenomena that cope with a unique probability distribution, and some of which are very complex and heterogeneous systems that force the researchers to use probability distributions fits the behavior of this random phenomenon. Many works in the field of reliability, failure and survival times, and the function of reliability (survival) follows some common distributions such as the Exponential distribution, Weibull distribution and other distributions. In this paper we introduced the survival function that follows an important distribution in survival modeling, that is called the Lindley distribution with two Parameters, taking into account two forms of this distribution, one of them we proposed based on different forms of the probability density function and finding the survival function for the distribution and compared to other distributions using several methods of estimation including the Maximum Likelihood Estimator (MLE), (percentiles estimators) by using Monte Carlo simulation experiments and comparing using the Integrated Mean Square Error (IMSE), (-2ln L) and AIC to achieve the best estimate of survival function among the distributions, as well as a real data analysis conducted for the survival times for patients with COVID-19 stay in hospital until death. The proposed distribution fitted the data very well in the Maximum Likelihood method compared with the other distribution.
{"title":"Using some methods for estimating the survival times of patients infected with Covid-19 utilizing new two parameters Lindley distribution NTPLD","authors":"Z. K. Gaafar, M. H. Al-Sharoot","doi":"10.22075/ijnaa.2021.6073","DOIUrl":"https://doi.org/10.22075/ijnaa.2021.6073","url":null,"abstract":"The aim of this paper is the needs to analyze the survival time for patients with Covide-19b who remains in the hospital until death, so it is necessary to study the survival times and estimate the reliability. The problem of finding the best distribution that fits the data is the key idea to analyze the data accurately. Consequently, the misspecifying of the distribution that fit the data leads to poor quality inference criteria of the phenomenon, also leads to unreliable reliability estimations. Many data of sciences areas are of different probability distributions depending on the nature of the phenomenon within the studied communities Some of the data are represented simple phenomena that cope with a unique probability distribution, and some of which are very complex and heterogeneous systems that force the researchers to use probability distributions fits the behavior of this random phenomenon. Many works in the field of reliability, failure and survival times, and the function of reliability (survival) follows some common distributions such as the Exponential distribution, Weibull distribution and other distributions. In this paper we introduced the survival function that follows an important distribution in survival modeling, that is called the Lindley distribution with two Parameters, taking into account two forms of this distribution, one of them we proposed based on different forms of the probability density function and finding the survival function for the distribution and compared to other distributions using several methods of estimation including the Maximum Likelihood Estimator (MLE), (percentiles estimators) by using Monte Carlo simulation experiments and comparing using the Integrated Mean Square Error (IMSE), (-2ln L) and AIC to achieve the best estimate of survival function among the distributions, as well as a real data analysis conducted for the survival times for patients with COVID-19 stay in hospital until death. The proposed distribution fitted the data very well in the Maximum Likelihood method compared with the other distribution.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68123047","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.22075/IJNAA.2022.5608
M. F. Khalf, H. Abbas
Let $R$ be a commutative ring with identity, and (U_{R}) be an $R$-module, with (E = End(U_{R})). In this work we consider a generalization of class small essential submodules namely E-small essential submodules. Where the submodule $Q$ of (U_{R}) is said E-small essential if $Q$ (cap W = 0) , when W is a small submodule of (U_{R}), implies that (N_{S}left( W right) = 0), where (N_{S}left( W right) = left{ psi in E | Impsi subseteq W right}). The intersection ({overline{B}}_{R}(U)) of each submodule of (U_{R}) contained in (Soc(U_{R})). The ({overline{B}}_{R}(U)) is unique largest E-small essential submodule of (U_{R}), if (U_{R}) is cyclic. Also in this paper we study ({overline{B}}_{R}(U)) and ({overline{W}}_{E}left( U right)). The condition when ({overline{B}}_{R}(U)) is E-small essential, and (text{Tot}left( U,U right) = {overline{W}}_{E}left( U right) = J(E)) are given.
设$R$是一个具有恒等的交换环，且(U_{R})是一个$R$-模，具有(E = End(U_{R}))。本文考虑一类小本质子模的推广，即e -小本质子模。其中(U_{R})的子模块$Q$表示E-小本质，如果$Q$ (cap W = 0)，当W是(U_{R})的子模块时，意味着(N_{S}左(W右)= 0)，其中(N_{S}左(W右)=左{psi in E | Impsi subseteq W右})。(Soc(U_{R}))中包含的(U_{R})各子模块的交集({overline{B}}_{R}(U))。如果(U_{R})是循环的，则({overline{B}}_{R}(U))是(U_{R})的唯一最大e -小本质子模。本文还研究了({overline{B}}_{R}(U))和({overline{W}}_{E}左(U右))。给出了({overline{B}}_{R}(U))为E小本质，(text{Tot}left(U,U右)= {overline{W}}_{E}left(U右)= J(E))的条件。
{"title":"E-small essential submodules","authors":"M. F. Khalf, H. Abbas","doi":"10.22075/IJNAA.2022.5608","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5608","url":null,"abstract":"Let $R$ be a commutative ring with identity, and (U_{R}) be an $R$-module, with (E = End(U_{R})). In this work we consider a generalization of class small essential submodules namely E-small essential submodules. Where the submodule $Q$ of (U_{R}) is said E-small essential if $Q$ (cap W = 0) , when W is a small submodule of (U_{R}), implies that (N_{S}left( W right) = 0), where (N_{S}left( W right) = left{ psi in E | Impsi subseteq W right}). The intersection ({overline{B}}_{R}(U)) of each submodule of (U_{R}) contained in (Soc(U_{R})). The ({overline{B}}_{R}(U)) is unique largest E-small essential submodule of (U_{R}), if (U_{R}) is cyclic. Also in this paper we study ({overline{B}}_{R}(U)) and ({overline{W}}_{E}left( U right)). The condition when ({overline{B}}_{R}(U)) is E-small essential, and (text{Tot}left( U,U right) = {overline{W}}_{E}left( U right) = J(E)) are given.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"881-887"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68125329","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.22075/IJNAA.2022.5657
Rikan A. Ahmed, Saja Mohammad Hussein
In this study, we present a proposal aimed at estimating the finite population's mean of the main variable by stratification rank set sample (S_{t}text{RSS}) through the modification made to generalized ratio-cum-product type exponential estimator. The relative bias (text{PRB}), Mean Squared Error (text{Mse}) and percentage relative efficiencies (text{PRE}) of the proposed modified estimator is obtained to the first degree of approximation. Conditions under which the proposed estimator is more efficient than the usual unbiased estimator, ratio, product type estimators, and some other estimators are obtained. Finally, the estimators' abilities are evaluated through the use of simulations, as showed that the proposed modified estimator is more efficient as compared to several other estimators.
{"title":"Generalized modified ratio-cum-product kind exponentially estimator of the populations mean in stratified ranked set sample","authors":"Rikan A. Ahmed, Saja Mohammad Hussein","doi":"10.22075/IJNAA.2022.5657","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5657","url":null,"abstract":"In this study, we present a proposal aimed at estimating the finite population's mean of the main variable by stratification rank set sample (S_{t}text{RSS}) through the modification made to generalized ratio-cum-product type exponential estimator. The relative bias (text{PRB}), Mean Squared Error (text{Mse}) and percentage relative efficiencies (text{PRE}) of the proposed modified estimator is obtained to the first degree of approximation. Conditions under which the proposed estimator is more efficient than the usual unbiased estimator, ratio, product type estimators, and some other estimators are obtained. Finally, the estimators' abilities are evaluated through the use of simulations, as showed that the proposed modified estimator is more efficient as compared to several other estimators.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1137-1149"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68126566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.22075/IJNAA.2019.17470.1937
M. A. Ahmed
The extension of Aamri and El Moutawakil's property [1] to set-valued mappings arena is given. Also, some common fixed point theorems for strict contractions are established. these theorems extend results in [1,8].
{"title":"Some common fixed point theorems for strict contractions","authors":"M. A. Ahmed","doi":"10.22075/IJNAA.2019.17470.1937","DOIUrl":"https://doi.org/10.22075/IJNAA.2019.17470.1937","url":null,"abstract":"The extension of Aamri and El Moutawakil's property [1] to set-valued mappings arena is given. Also, some common fixed point theorems for strict contractions are established. these theorems extend results in [1,8].","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1445-1450"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68115772","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.22075/IJNAA.2021.24710.2801
P. P. Varma, K. Subbaiah
Both NOx and soot emissions are major concerns in compression ignition (CI) engine with diesel fuel and the enhancement of variety of fuel and air can increase the performance of combustion engine. There are several methods to enhance the variety of air-fuel within the cylinder. Altering the geometry of piston bowl is one of the methods to improve the air-fuel mixture. This article proposes the effect of piston bowl geometry on the direct injection diesel engine performance and emissions, where various profiles of piston bowl referred as hemispherical combustion chamber (HCC), toroidal combustion chamber (TCC) and shallow depth combustion chamber (SCC) are designed using computer aided design and drafting (CADD) tool and ANSYS workbench is adopted for analysis. In addition, Karanja oil mixed with base fluid diesel at different volume fractions like0.2%, 0.3% and 0.4% and are calculated for their combination properties. Further, theoretical calculations are considered to determine the properties of Nano fluids which are later used as inputs for the analysis. Finally, CFD analysis is employed on different geometries at different fluid volume fractions and thermal analysis is done for piston bowl geometries with different composite materials like carbon fiber and armide fiber.
{"title":"CFD Analysis of piston bowls geometry for CI direct injection engine using finite element analysis","authors":"P. P. Varma, K. Subbaiah","doi":"10.22075/IJNAA.2021.24710.2801","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.24710.2801","url":null,"abstract":"Both NOx and soot emissions are major concerns in compression ignition (CI) engine with diesel fuel and the enhancement of variety of fuel and air can increase the performance of combustion engine. There are several methods to enhance the variety of air-fuel within the cylinder. Altering the geometry of piston bowl is one of the methods to improve the air-fuel mixture. This article proposes the effect of piston bowl geometry on the direct injection diesel engine performance and emissions, where various profiles of piston bowl referred as hemispherical combustion chamber (HCC), toroidal combustion chamber (TCC) and shallow depth combustion chamber (SCC) are designed using computer aided design and drafting (CADD) tool and ANSYS workbench is adopted for analysis. In addition, Karanja oil mixed with base fluid diesel at different volume fractions like0.2%, 0.3% and 0.4% and are calculated for their combination properties. Further, theoretical calculations are considered to determine the properties of Nano fluids which are later used as inputs for the analysis. Finally, CFD analysis is employed on different geometries at different fluid volume fractions and thermal analysis is done for piston bowl geometries with different composite materials like carbon fiber and armide fiber.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1193-1207"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68120275","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.22075/IJNAA.2021.23671.2578
M. Shahrouzi
In this paper, we consider the nonlinear $r(x)-$Laplacian Lam'{e} equation $$ u_{tt}-Delta_{e}u-divbig(|nabla u|^{r(x)-2}nabla ubig)+|u_{t}|^{m(x)-2}u_{t}=|u|^{p(x)-2}u $$ in a smoothly bounded domain $Omegasubseteq R^{n}, ngeq1$, where $r(.), m(.)$ and $p(.)$ are continuous and measurable functions. Under suitable conditions on variable exponents and initial data, the blow-up of solutions is proved with negative initial energy as well as positive.
{"title":"Blow up of solutions for a r(x)-Laplacian Lam'{e} equation with variable-exponent nonlinearities and arbitrary initial energy level","authors":"M. Shahrouzi","doi":"10.22075/IJNAA.2021.23671.2578","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.23671.2578","url":null,"abstract":"In this paper, we consider the nonlinear $r(x)-$Laplacian Lam'{e} equation $$ u_{tt}-Delta_{e}u-divbig(|nabla u|^{r(x)-2}nabla ubig)+|u_{t}|^{m(x)-2}u_{t}=|u|^{p(x)-2}u $$ in a smoothly bounded domain $Omegasubseteq R^{n}, ngeq1$, where $r(.), m(.)$ and $p(.)$ are continuous and measurable functions. Under suitable conditions on variable exponents and initial data, the blow-up of solutions is proved with negative initial energy as well as positive.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"441-450"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68120373","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.22075/IJNAA.2021.24005.2651
M. Sarhadi, F. Mansouri, Mahdi Faghani
The aim of the present study was to compare the productive power of foreign adjusted bankruptcy by providing a proposed model of bankruptcy in Iran. This research is applied in terms of purpose and descriptive and correlational in terms of nature which through that bankruptcy models are studied according to the Shumway's hazard model (2001), and in the form of a logit model and accounting are evaluated based on Pourheydari's and Koopayee's model (2010). Accordingly, a sample including1287 years, the company from 2006 to 2018 has been selected from Tehran Stock Exchange. For statistical hypothesis testing, receiver operating characteristics (ROC) was applied. Receiver operating characteristics is applicable in software like SAS, SPSS, and STATA. The results showed that Shumway's model (2001) provides a more accurate bankruptcy prediction of companies and this is the sign of superiority of the hazard model over classic models.
{"title":"Comparing predicative power of foreign adjusted bankruptcy through providing proposed model of bankruptcy in Iran","authors":"M. Sarhadi, F. Mansouri, Mahdi Faghani","doi":"10.22075/IJNAA.2021.24005.2651","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.24005.2651","url":null,"abstract":"The aim of the present study was to compare the productive power of foreign adjusted bankruptcy by providing a proposed model of bankruptcy in Iran. This research is applied in terms of purpose and descriptive and correlational in terms of nature which through that bankruptcy models are studied according to the Shumway's hazard model (2001), and in the form of a logit model and accounting are evaluated based on Pourheydari's and Koopayee's model (2010). Accordingly, a sample including1287 years, the company from 2006 to 2018 has been selected from Tehran Stock Exchange. For statistical hypothesis testing, receiver operating characteristics (ROC) was applied. Receiver operating characteristics is applicable in software like SAS, SPSS, and STATA. The results showed that Shumway's model (2001) provides a more accurate bankruptcy prediction of companies and this is the sign of superiority of the hazard model over classic models.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"757-764"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68120456","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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