"This paper establishes the existence of positive solutions for 3n^th order differential equations with p-Laplacian operator"
"建立了带p-拉普拉斯算子的3n阶微分方程正解的存在性"
{"title":"\"Existence of positive solutions for 3n^th order boundary value problems involving p-Laplacian\"","authors":"R. Sankar, N. Sreedhar, K. R. Prasad","doi":"10.37193/cmi.2022.01.10","DOIUrl":"https://doi.org/10.37193/cmi.2022.01.10","url":null,"abstract":"\"This paper establishes the existence of positive solutions for 3n^th order differential equations with p-Laplacian operator\"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133088600","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}
"Single server Retrial Queueing model with system repair and breakdown under non-preemptive priority is considered in this paper. The study of the model so far is mostly explored only for steady state solutions with few exceptions to Transient solutions. Though some researchers have attempted transient solution to the model analytically, the solution thus obtained is more complicated that it cannot be solved. In this context, we have found the transient numerical solution to the model using eigenvalues and eigenvectors. Time dependent system performance measures and probability distributions are evaluated and validated with steady state solutions. Single server Retrial Queueing model with system repair and breakdown under non-preemptive priority is considered in this paper. The study of the model so far is mostly explored only for steady state solutions with few exceptions to Transient solutions. Though some researchers have attempted transient solution to the model analytically, the solution thus obtained is more complicated that it cannot be solved. In this context, we have found the transient numerical solution to the model using eigenvalues and eigenvectors. Time dependent system performance measures and probability distributions are evaluated and validated with steady state solutions."
{"title":"\"Computational approach to Transient solution for single unreliable server Retrial Queue under non-preemptive priority\"","authors":"S. Damodaran, A. M. G. Subramanian, Gopal Sekar","doi":"10.37193/cmi.2022.01.06","DOIUrl":"https://doi.org/10.37193/cmi.2022.01.06","url":null,"abstract":"\"Single server Retrial Queueing model with system repair and breakdown under non-preemptive priority is considered in this paper. The study of the model so far is mostly explored only for steady state solutions with few exceptions to Transient solutions. Though some researchers have attempted transient solution to the model analytically, the solution thus obtained is more complicated that it cannot be solved. In this context, we have found the transient numerical solution to the model using eigenvalues and eigenvectors. Time dependent system performance measures and probability distributions are evaluated and validated with steady state solutions. Single server Retrial Queueing model with system repair and breakdown under non-preemptive priority is considered in this paper. The study of the model so far is mostly explored only for steady state solutions with few exceptions to Transient solutions. Though some researchers have attempted transient solution to the model analytically, the solution thus obtained is more complicated that it cannot be solved. In this context, we have found the transient numerical solution to the model using eigenvalues and eigenvectors. Time dependent system performance measures and probability distributions are evaluated and validated with steady state solutions.\"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116785704","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}
"For q > 1, let E be a q-uniformly smooth real Banach space with dual space E∗. Let A : E → E∗ be a Lipschitz and strongly monotone mapping such that A^{−1}(0) ̸= ∅. For given x_1 ∈ E, let {x_n} be generated iteratively by the algorithm : x_{n+1} = x_n − λJ^{−1}(Ax_n), n ≥ 1, where J is the normalized duality mapping from E into E∗ and λ is a positive real number choosen in a suitable interval. Then it is proved that the sequence {xn} converges strongly to x∗, the unique point of A^{−1}(0). Our theorems are applied to the convex minimization problem. Futhermore, our technique of proof is of independent interest."
{"title":"\"A new Krasnoselskii’s type algorithm for zeros of strongly monotone and Lipschitz mappings\"","authors":"M. Sène, M. Ndiaye, N. Djitté","doi":"10.37193/cmi.2022.01.11","DOIUrl":"https://doi.org/10.37193/cmi.2022.01.11","url":null,"abstract":"\"For q > 1, let E be a q-uniformly smooth real Banach space with dual space E∗. Let A : E → E∗ be a Lipschitz and strongly monotone mapping such that A^{−1}(0) ̸= ∅. For given x_1 ∈ E, let {x_n} be generated iteratively by the algorithm : x_{n+1} = x_n − λJ^{−1}(Ax_n), n ≥ 1, where J is the normalized duality mapping from E into E∗ and λ is a positive real number choosen in a suitable interval. Then it is proved that the sequence {xn} converges strongly to x∗, the unique point of A^{−1}(0). Our theorems are applied to the convex minimization problem. Futhermore, our technique of proof is of independent interest.\"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"106 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115736265","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}
"Let p > 3 be a prime number and r > 0 an integer. In this paper, we give a formula for counting the points of elliptic curves over the modular ring Z/p^{r }Z."
设p > 3为质数，r > 0为整数。本文给出了模环Z/p^{r}Z上椭圆曲线点的计算公式。
{"title":"Counting points on elliptic curves modulo a prime power","authors":"J. Chahal, O. Khadir","doi":"10.37193/cmi.2022.01.05","DOIUrl":"https://doi.org/10.37193/cmi.2022.01.05","url":null,"abstract":"\"Let p > 3 be a prime number and r > 0 an integer. In this paper, we give a formula for counting the points of elliptic curves over the modular ring Z/p^{r }Z.\"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128416085","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}
"In this paper, we introduce a modified Halpern extragradient-type algorithm for approximating an element in the intersection of the set of common solutions of equilibrium problems and common fixed points of family of nonexpansive mappings in a complete CAT(0) space. We establish strong convergence theorem that improve and generalize recently announced results in the literature."
{"title":"\"A modified Halpern extragradient method for equilibrium and fixed point problems in CAT(0) space\"","authors":"B. Ali, M. Harbau, Auwalu Ali Alasan","doi":"10.37193/cmi.2022.01.01","DOIUrl":"https://doi.org/10.37193/cmi.2022.01.01","url":null,"abstract":"\"In this paper, we introduce a modified Halpern extragradient-type algorithm for approximating an element in the intersection of the set of common solutions of equilibrium problems and common fixed points of family of nonexpansive mappings in a complete CAT(0) space. We establish strong convergence theorem that improve and generalize recently announced results in the literature.\"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124563798","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}
"Let A be the class of P analytic functions in the unit disc U which are of the form $f(z)=z+sum_{n=2}^{infty}a_nz^n$. For 0 ≤ α < 1, let C_α, be the class of all functions f ∈ A satisfying the condition ${Re}{f'(z)+αzf''(z)}>0$. We consider the Toeplitz matrices whose elements are the coefficients an of the function f in the class C_α. In this paper we obtain upper bounds for the Toeplitz determinants. "
{"title":"\"Upper bounds of Toeplitz determinants for a subclass of alpha-close-to-convex functions\"","authors":"A. Jha, P. Sahoo","doi":"10.37193/cmi.2022.01.08","DOIUrl":"https://doi.org/10.37193/cmi.2022.01.08","url":null,"abstract":"\"Let A be the class of P analytic functions in the unit disc U which are of the form $f(z)=z+sum_{n=2}^{infty}a_nz^n$. For 0 ≤ α < 1, let C_α, be the class of all functions f ∈ A satisfying the condition ${Re}{f'(z)+αzf''(z)}>0$. We consider the Toeplitz matrices whose elements are the coefficients an of the function f in the class C_α. In this paper we obtain upper bounds for the Toeplitz determinants. \"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131646658","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}
LetR be a prime ring with center Z(R), λ a nonzero left ideal, α, β are automorphisms ofR and R admits a generalized (α, β)-derivation F associated with a nonzero (α, β)-derivation d such that d(Z(R)) 6= (0). In the present paper, we prove that if any one of the following holds: (i) F ([x, y])− bα(x ◦ y) ∈ Z(R) (ii) F ([x, y]) + bα(x ◦ y) ∈ Z(R) (iii) F (x ◦ y)− bα([x, y]) ∈ Z(R) (iv) F (x ◦ y) + bα([x, y]) ∈ Z(R) for all x, y ∈ λ and for some b ∈ R then R is commutative. Also some related results have been obtained.
让是一个黄金戒指与中心Z (R),λ的非零左理想,α,β是同构雌花和R承认一个广义(α,β)推导F与非零(α,β)推导d, d (Z (R)) 6 =(0)。在本文中,我们证明,如果任何一个持有如下:(i) F ((x, y))α−b (x◦y)∈Z (R) (ii) F ((x, y)) + bα(x◦y)∈Z (R) (3) F (x◦y)−bα((x, y))∈Z (R) (iv) F (x◦y) + bα((x, y))∈Z (R)对所有的x, y∈λ,然后对一些b∈R R是交换。并得到了一些相关的结果。
{"title":"\"Generalized (α,β)-derivations and left Ideals in Prime Rings\"","authors":"Hamidur Rahaman","doi":"10.37193/cmi.2021.02.10","DOIUrl":"https://doi.org/10.37193/cmi.2021.02.10","url":null,"abstract":"LetR be a prime ring with center Z(R), λ a nonzero left ideal, α, β are automorphisms ofR and R admits a generalized (α, β)-derivation F associated with a nonzero (α, β)-derivation d such that d(Z(R)) 6= (0). In the present paper, we prove that if any one of the following holds: (i) F ([x, y])− bα(x ◦ y) ∈ Z(R) (ii) F ([x, y]) + bα(x ◦ y) ∈ Z(R) (iii) F (x ◦ y)− bα([x, y]) ∈ Z(R) (iv) F (x ◦ y) + bα([x, y]) ∈ Z(R) for all x, y ∈ λ and for some b ∈ R then R is commutative. Also some related results have been obtained.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114567099","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}
{"title":"\"Ways to organize learning paths to discover solutions to competition problems\"","authors":"M. Teleuca, Larisa Sali","doi":"10.37193/cmi.2021.02.12","DOIUrl":"https://doi.org/10.37193/cmi.2021.02.12","url":null,"abstract":"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"111 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126004756","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}
{"title":"\"The effect of omega invariant on some topological graph indices\"","authors":"M. Demirci, A. Gunes, Sadik Delen, I. N. Cangul","doi":"10.37193/cmi.2021.02.07","DOIUrl":"https://doi.org/10.37193/cmi.2021.02.07","url":null,"abstract":"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"184 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115267501","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}
{"title":"\"Some comparative growth properties of meromorphic function in the light of generalized relative order (α,β)\"","authors":"T. Biswas, Rabindrapally India Rajbari, C. Biswas","doi":"10.37193/cmi.2021.02.04","DOIUrl":"https://doi.org/10.37193/cmi.2021.02.04","url":null,"abstract":"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"23 50","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120926156","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：