Pub Date : 2022-02-28DOI: 10.30546/1683-6154.21.1.2022.21
{"title":"Optimality and Duality Results for new Classes of Nonconvex Quasidifferentiable Vector Optimization Problems","authors":"","doi":"10.30546/1683-6154.21.1.2022.21","DOIUrl":"https://doi.org/10.30546/1683-6154.21.1.2022.21","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":10.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81548416","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.30546/1683-6154.21.1.2022.52
{"title":"On Construction of Pursuit-Evasion Games in Discrete Control Models","authors":"","doi":"10.30546/1683-6154.21.1.2022.52","DOIUrl":"https://doi.org/10.30546/1683-6154.21.1.2022.52","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":10.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90169032","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.30546/1683-6154.21.1.2022.71
{"title":"A Fractal Model for the Internal Temperature Response of a Porous Concrete","authors":"","doi":"10.30546/1683-6154.21.1.2022.71","DOIUrl":"https://doi.org/10.30546/1683-6154.21.1.2022.71","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":10.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78980746","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.30546/1683-6154.21.1.2022.101
A. Abbasov, Z. F. Mamedov, M. Tvaronavičienė, A. Borodin, I. Vygodchikova, A. Aliev
Presented methodology is on the spread of coronavirus infection dynamics using minimax criterion with the spline approximation. The study is based at authors mathematical method of approximation the dynamic series. The fundamental difference from classical problem of Chebyshev (1854) is the introduction of limiting conditions that allow joining splines in minimax optimality criterion mode. The approximation model is improved as a result of hierarchical procedure, at each stage of which new spline is attached. In the experiments used data on the spread of the coronavirus infection in Russia for period of more than a year with daily registration of cases of infection. So, quadratic approximation function is obtained with a negative coefficient at the highest degree of the variable, indicating a sharp decrease in the spread of coronavirus infection in Russia since mid-January 2021.
{"title":"Estimation and Prediction Dynamics of the Spread of the Coronavirus Infection Using Minimax Approximation Criterion and Polynomial Splines","authors":"A. Abbasov, Z. F. Mamedov, M. Tvaronavičienė, A. Borodin, I. Vygodchikova, A. Aliev","doi":"10.30546/1683-6154.21.1.2022.101","DOIUrl":"https://doi.org/10.30546/1683-6154.21.1.2022.101","url":null,"abstract":"Presented methodology is on the spread of coronavirus infection dynamics using minimax criterion with the spline approximation. The study is based at authors mathematical method of approximation the dynamic series. The fundamental difference from classical problem of Chebyshev (1854) is the introduction of limiting conditions that allow joining splines in minimax optimality criterion mode. The approximation model is improved as a result of hierarchical procedure, at each stage of which new spline is attached. In the experiments used data on the spread of the coronavirus infection in Russia for period of more than a year with daily registration of cases of infection. So, quadratic approximation function is obtained with a negative coefficient at the highest degree of the variable, indicating a sharp decrease in the spread of coronavirus infection in Russia since mid-January 2021.","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":10.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78765661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.30546/1683-6154.21.1.2022.61
Feng Qi (祁锋), Feng Qi (祁锋)
{"title":"Necessary and Sufficient Conditions for a Difference Defined by Four Derivatives of a Function Containing Trigamma Function to be Completely Monotonic","authors":"Feng Qi (祁锋), Feng Qi (祁锋)","doi":"10.30546/1683-6154.21.1.2022.61","DOIUrl":"https://doi.org/10.30546/1683-6154.21.1.2022.61","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":10.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78140318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-23DOI: 10.30546/1683-6154.22.1.2023.80
Dae San Kim, Taekyun Kim
Let P be the set of the sequence of polynomials of degree n. The aim of this paper is to study the Stirling numbers of the second kind associated with P and of the first kind associated with P, in a unified and systematic way with the help of umbral calculus technique. Our results are illustrated with many examples which give rise to interesting inverse relations in each case.
{"title":"Stirling Numbers Associated with Sequences of Polynomials","authors":"Dae San Kim, Taekyun Kim","doi":"10.30546/1683-6154.22.1.2023.80","DOIUrl":"https://doi.org/10.30546/1683-6154.22.1.2023.80","url":null,"abstract":"Let P be the set of the sequence of polynomials of degree n. The aim of this paper is to study the Stirling numbers of the second kind associated with P and of the first kind associated with P, in a unified and systematic way with the help of umbral calculus technique. Our results are illustrated with many examples which give rise to interesting inverse relations in each case.","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":10.0,"publicationDate":"2022-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80463525","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.11648/j.acm.20221102.11
Jyh-Haw Tang, C. Feng
{"title":"A Unified Singular Solution of Laplace’s Equation with Neumann and Dirichlet Boundary Conditions","authors":"Jyh-Haw Tang, C. Feng","doi":"10.11648/j.acm.20221102.11","DOIUrl":"https://doi.org/10.11648/j.acm.20221102.11","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":10.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86423084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.30546/1683-6154.21.3.2022.292
{"title":"Stability Analysis of Initially Imperfect Nanoshells Conveying Fluid Based on Nonlocal Strain Gradient Theory","authors":"","doi":"10.30546/1683-6154.21.3.2022.292","DOIUrl":"https://doi.org/10.30546/1683-6154.21.3.2022.292","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":10.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78327152","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.30546/1683-6154.21.3.2022.279
{"title":"Existence Results for a Conformable Type Dirac System on Time Scales in Quantum Physics","authors":"","doi":"10.30546/1683-6154.21.3.2022.279","DOIUrl":"https://doi.org/10.30546/1683-6154.21.3.2022.279","url":null,"abstract":"","PeriodicalId":55503,"journal":{"name":"Applied and Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":10.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89880153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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