{"title":"Existence of Positive Solutions for 2nth Order Two-Point p-Laplacian Boundary Value Problems","authors":"","doi":"10.28924/apjm/7-19","DOIUrl":"https://doi.org/10.28924/apjm/7-19","url":null,"abstract":"","PeriodicalId":33214,"journal":{"name":"Asia Pacific Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69256741","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 Applications of Cauchy’s Mean Value Theorem","authors":"","doi":"10.28924/apjm/7-30","DOIUrl":"https://doi.org/10.28924/apjm/7-30","url":null,"abstract":"","PeriodicalId":33214,"journal":{"name":"Asia Pacific Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69258991","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":"An Application of Mittag-Leffler Type Poisson Distribution Series on Starlike and Convex Functions","authors":"","doi":"10.28924/apjm/7-1","DOIUrl":"https://doi.org/10.28924/apjm/7-1","url":null,"abstract":"","PeriodicalId":33214,"journal":{"name":"Asia Pacific Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69256396","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}
A BSTRACT . In this paper, we are concerned with a class of quaternion-valued recurrent neutral neural networks (QVRNNs) with time-varying delays and infinite distributed delays on time scales. With the help of the Stepanov like pseudo almost automorphy on time scales, Banach’s fixed point theorem, the theory of time scale calculations, and constructing a suitable Lyapunov functional, a set of sufficient criteria that guarantee the existence, uniqueness and the globally S p -exponential stability of Stepanov-like pseudo almost automorphic solution on time scales of this class of neural networks are established via a direct method. In other words, we do not decompose the considered QVRNNs into real-valued systems or complex-valued systems. Finally, two numerical examples and simulations (for T = R and Z ) are performed to verify our theoretical results.
{"title":"Stepanov-Like Pseudo Almost Automorphic Dynamics of QVRNNS with Mixed Delays on Time Scales via a Direct Method","authors":"M. Es-saiydy","doi":"10.28924/apjm/7-32","DOIUrl":"https://doi.org/10.28924/apjm/7-32","url":null,"abstract":"A BSTRACT . In this paper, we are concerned with a class of quaternion-valued recurrent neutral neural networks (QVRNNs) with time-varying delays and infinite distributed delays on time scales. With the help of the Stepanov like pseudo almost automorphy on time scales, Banach’s fixed point theorem, the theory of time scale calculations, and constructing a suitable Lyapunov functional, a set of sufficient criteria that guarantee the existence, uniqueness and the globally S p -exponential stability of Stepanov-like pseudo almost automorphic solution on time scales of this class of neural networks are established via a direct method. In other words, we do not decompose the considered QVRNNs into real-valued systems or complex-valued systems. Finally, two numerical examples and simulations (for T = R and Z ) are performed to verify our theoretical results.","PeriodicalId":33214,"journal":{"name":"Asia Pacific Journal of Mathematics","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69259235","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":"Coding Technique with Web Graph and Difference Cordial Labeling","authors":"","doi":"10.28924/apjm/7-26","DOIUrl":"https://doi.org/10.28924/apjm/7-26","url":null,"abstract":"","PeriodicalId":33214,"journal":{"name":"Asia Pacific Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69257918","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":"Existence and Multiplicity of Solutions to Discrete Inclusions with the p(k)-Laplacian Problem of Kirchhoff Type","authors":"","doi":"10.28924/apjm/7-6","DOIUrl":"https://doi.org/10.28924/apjm/7-6","url":null,"abstract":"","PeriodicalId":33214,"journal":{"name":"Asia Pacific Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69259565","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":"Certain New Subclasses of Analytic and Bi-Univalent Functions Using Salagean Operator","authors":"","doi":"10.28924/apjm/7-29","DOIUrl":"https://doi.org/10.28924/apjm/7-29","url":null,"abstract":"","PeriodicalId":33214,"journal":{"name":"Asia Pacific Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69258746","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":"Solutions to ψ-Type Complex Order Delay Differential Equations with Nonlocal Initial Conditions","authors":"","doi":"10.28924/apjm/7-14","DOIUrl":"https://doi.org/10.28924/apjm/7-14","url":null,"abstract":"","PeriodicalId":33214,"journal":{"name":"Asia Pacific Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69256438","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":"Further Acceleration of Secant-Type Methods for Solving Nonlinear Equations","authors":"","doi":"10.28924/apjm/7-20","DOIUrl":"https://doi.org/10.28924/apjm/7-20","url":null,"abstract":"","PeriodicalId":33214,"journal":{"name":"Asia Pacific Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69256909","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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