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Stability analysis of linear quaternion-valued differential equation using integral transform 利用积分变换分析线性四元数微分方程的稳定性
Annals of Mathematics and Computer Science Pub Date : 2024-03-28 DOI: 10.56947/amcs.v22.274
A. Mohanapriya
{"title":"Stability analysis of linear quaternion-valued differential equation using integral transform","authors":"A. Mohanapriya","doi":"10.56947/amcs.v22.274","DOIUrl":"https://doi.org/10.56947/amcs.v22.274","url":null,"abstract":"In this article, we examine the stability of first-order linear quaternion-valued differential equations using the Mittag-Leffler-Hyers-Ulam approach. We achieve this by transforming a linear quaternion-valued differential equation into a real differential system. The stability outcomes for these linear quaternion-valued differential equations are determined through the use of quaternion module and Fourier transform techniques.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"115 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140370725","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}
引用次数: 0
Asymptotically Lacunary statistical equivalent sequences in partial metric spaces 偏度量空间中的渐近拉康统计等价序列
Annals of Mathematics and Computer Science Pub Date : 2024-03-28 DOI: 10.56947/amcs.v22.262
Ahmet Çaki, Aykut Or
{"title":"Asymptotically Lacunary statistical equivalent sequences in partial metric spaces","authors":"Ahmet Çaki, Aykut Or","doi":"10.56947/amcs.v22.262","DOIUrl":"https://doi.org/10.56947/amcs.v22.262","url":null,"abstract":"The present study deals with asymptotically equivalent sequences in partial metric spaces. We define the notions of strongly asymptotically lacunary equivalence, asymptotically statistical equivalence, and asymptotically lacunary statistical equivalence. We theoretically contribute to these notions and investigate some of their basic properties.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"33 31","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140372567","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}
引用次数: 0
L^r inequalities for polynomials with restricted zeros 有限制零点的多项式的 L^r 不等式
Annals of Mathematics and Computer Science Pub Date : 2024-02-17 DOI: 10.56947/amcs.v21.258
Singhajit Mayanglambam, M. S. Singh, B. Chanam
{"title":"L^r inequalities for polynomials with restricted zeros","authors":"Singhajit Mayanglambam, M. S. Singh, B. Chanam","doi":"10.56947/amcs.v21.258","DOIUrl":"https://doi.org/10.56947/amcs.v21.258","url":null,"abstract":"If p(z) is a polynomial of degree n having no zero in |z|1, then Govil and Rahman [10] extended Malik's inequality [13] into Lr version. In this paper, we prove improved and generalized versions of the above inequality.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"52 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139960272","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}
引用次数: 0
Some important properties of invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space 近α-折射（k, mu, nu）空间不变子漫游的一些重要性质
Annals of Mathematics and Computer Science Pub Date : 2024-02-17 DOI: 10.56947/amcs.v21.242
Pakize Uygun, M. Atc̣eken, Tuğba Mert
{"title":"Some important properties of invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space","authors":"Pakize Uygun, M. Atc̣eken, Tuğba Mert","doi":"10.56947/amcs.v21.242","DOIUrl":"https://doi.org/10.56947/amcs.v21.242","url":null,"abstract":"The object of the paper is to investigate invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space. Then we have proved that the necessary and sufficient conditions for an invariant submanifold of an almost alpha-cosymplectic (k, mu, nu )-space to be totally geodesic under the some conditions. Consequently, we have obtained some interesting results invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"62 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139960380","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}
引用次数: 0
Existence of entire solutions for k-th derivative of certain type of non-linear differential-difference equations 某类非线性微分差分方程 k 次导数全解的存在性
Annals of Mathematics and Computer Science Pub Date : 2024-02-17 DOI: 10.56947/amcs.v21.250
Jayashri Pattar, Shilpa N
{"title":"Existence of entire solutions for k-th derivative of certain type of non-linear differential-difference equations","authors":"Jayashri Pattar, Shilpa N","doi":"10.56947/amcs.v21.250","DOIUrl":"https://doi.org/10.56947/amcs.v21.250","url":null,"abstract":"The paper discusses the existence of entire solutions for k th derivative of certain type of non-linear differential-difference equations. In addition to, the paper evaluates some previous results for existence of finite order transcendental entiresolutions and extends to the higher order. Particularly, we obtain the conditions for occurrence and attainable forms of entire solutions.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"59 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139960580","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}
引用次数: 0
Application of Mohand transform coupled with homotopy perturbation method to solve Newel-White-Segel equation 应用莫罕德变换与同调扰动法求解纽厄尔-怀特-西格尔方程
Annals of Mathematics and Computer Science Pub Date : 2024-02-17 DOI: 10.56947/amcs.v21.267
Olubanwo Oludapo Omotola, Adepoju Julius Temiatyo, Ajani Abiodun Sufiat, Shobowale Abiodun Ezekiel
{"title":"Application of Mohand transform coupled with homotopy perturbation method to solve Newel-White-Segel equation","authors":"Olubanwo Oludapo Omotola, Adepoju Julius Temiatyo, Ajani Abiodun Sufiat, Shobowale Abiodun Ezekiel","doi":"10.56947/amcs.v21.267","DOIUrl":"https://doi.org/10.56947/amcs.v21.267","url":null,"abstract":"To solve the Newell-White-Segel equations (NWSE), this paper presents a novel analytical method that combines the Mohand Transform with the HPM in a unique way. Due to its intrinsic nonlinearity, NWSE, which is essential for simulating intricate events in mathematical biology and physics, poses analytical challenges. An efficient analytical framework for dealing with nonlinear systems is provided by extending the Mohand Transform in combination with the HPM. Comparative evaluations between the results of this study and those of previous research, together with proven analytical solutions, are carried out in the framework of three NWSE examples.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"85 19","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139959639","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}
引用次数: 0
Some results on ultradifferential convolution property of ultradistributions 关于超分布的超微分卷积特性的一些结果
Annals of Mathematics and Computer Science Pub Date : 2024-02-17 DOI: 10.56947/amcs.v21.264
Anslem Amaonyeiro, K. Isife
{"title":"Some results on ultradifferential convolution property of ultradistributions","authors":"Anslem Amaonyeiro, K. Isife","doi":"10.56947/amcs.v21.264","DOIUrl":"https://doi.org/10.56947/amcs.v21.264","url":null,"abstract":"We consider some sequential conditions for the convolvability of two ultradistributions, specifically the Roumieu ultradistributions defined on the space of all ultradifferentiable functions  Dn{M_p}  in the space Dn'{M_p}  and show the similarities between these conditions in the sense of Mincheva-Kaminska S. The sequential conditions are based on the use of approximate identities which satisfy certain conditions to be a Banach algebra for the space Dn{M_p} . We present an equivalent result involving the convolution of the differentiability of two Roumieu ultradistributions with equivalent norm condition.      \u0000 ","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"69 23","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139960138","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}
引用次数: 0
Structural stability of p(x)-Laplacian kind problems with maximal monotone graphs and Neumann type boundary condition 具有最大单调图和诺伊曼型边界条件的 p(x)-Laplacian 样问题的结构稳定性
Annals of Mathematics and Computer Science Pub Date : 2024-02-17 DOI: 10.56947/amcs.v21.247
S. Ouaro, Kpê Kansié
{"title":"Structural stability of p(x)-Laplacian kind problems with maximal monotone graphs and Neumann type boundary condition","authors":"S. Ouaro, Kpê Kansié","doi":"10.56947/amcs.v21.247","DOIUrl":"https://doi.org/10.56947/amcs.v21.247","url":null,"abstract":"\u0000 \u0000 \u0000In this work, we study the convergence of a sequence of solutions of degener- ate elliptic problems with variable coercivity and growth exponents. The functional setting involves Lebesgue and Sobolev spaces with variable exponent which varies also with n. \u0000 \u0000 \u0000","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"63 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139959900","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}
引用次数: 0
Fixed point theorems for fuzzy contractions mappings in a dislocated b-metric spaces with applications 错位二元空间中模糊收缩映射的定点定理及其应用
Annals of Mathematics and Computer Science Pub Date : 2024-02-17 DOI: 10.56947/amcs.v21.233
Muhammed Raji, Musa Adeku Ibrahim
{"title":"Fixed point theorems for fuzzy contractions mappings in a dislocated b-metric spaces with applications","authors":"Muhammed Raji, Musa Adeku Ibrahim","doi":"10.56947/amcs.v21.233","DOIUrl":"https://doi.org/10.56947/amcs.v21.233","url":null,"abstract":"The purpose of this article, is to establish some fixed point results for fuzzy mappings in a complete dislocated b-metric space. Examples are provided to support results and concepts presented herein. As an application of our results, multivalued mappings and fuzzy mappings are studied.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"85 22","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139959481","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}
引用次数: 0
Refinement of the Cauchy-Schwartz inequality with refinements and generalizations of the numerical radius type inequalities for operators 考希-施瓦茨不等式的完善与算子数值半径型不等式的完善和概括
Annals of Mathematics and Computer Science Pub Date : 2024-02-17 DOI: 10.56947/amcs.v21.246
Vuk Stojiljković, S. Dragomir
{"title":"Refinement of the Cauchy-Schwartz inequality with refinements and generalizations of the numerical radius type inequalities for operators","authors":"Vuk Stojiljković, S. Dragomir","doi":"10.56947/amcs.v21.246","DOIUrl":"https://doi.org/10.56947/amcs.v21.246","url":null,"abstract":"\u0000\u0000\u0000Motivated by the results previously reported, the current work aims at developing new numerical radius upper bounds of Hilbert space opera- tors by offering new improvements to the well-known Cauchy-Schwarz inequal- ity. In particular, a novel Lemma (3.1) is given, which is utilized to further generalize several vector and numerical radius type inequalities, as well as pre- viously given extensions of the Cauchy-Schwartz inequality. Specifically, (2.5) (2.8) (1.6) have been generalized by (4.3) (4.1) (4.2)\u0000\u0000\u0000","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"63 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139959901","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}
引用次数: 0
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