Pub Date : 2022-06-30DOI: 10.46753/pjaa.2022.v09i01.002
H. Arizmendi-Peimbert, †. ANGELCARRILLO-HOYO
. It is characterized when the spectral radius in a Hausdorff locally A-convex algebra is an m-convex norm that defines the weakest m-convex topology stronger than the original one. The same is done for the boundedness radius on A-normed algebras.
{"title":"THE SPECTRAL AND BOUNDEDNESS RADII DEFINING AN EXTREMAL TOPOLOGY","authors":"H. Arizmendi-Peimbert, †. ANGELCARRILLO-HOYO","doi":"10.46753/pjaa.2022.v09i01.002","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i01.002","url":null,"abstract":". It is characterized when the spectral radius in a Hausdorff locally A-convex algebra is an m-convex norm that defines the weakest m-convex topology stronger than the original one. The same is done for the boundedness radius on A-normed algebras.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48604687","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 : 2022-06-30DOI: 10.46753/pjaa.2022.v09i01.008
{"title":"A GENERALIZED LOCAL FUNCTION IN IDEAL TOPOLOGICAL SPACES","authors":"","doi":"10.46753/pjaa.2022.v09i01.008","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i01.008","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43067655","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 : 2022-06-30DOI: 10.46753/pjaa.2022.v09i01.010
Suman Das, B. Tripathy
. In this paper, an attempt is made to define a new class of set namely pairwise neutrosophic α -open set via neutrosophic bitopological space. Besides, we study some properties of them.Further, we formulate several results based on them.
{"title":"PAIRWISE NEUTROSOPHIC α-OPEN SET VIA NEUTROSOPHIC BITOPOLOGICAL SPACES","authors":"Suman Das, B. Tripathy","doi":"10.46753/pjaa.2022.v09i01.010","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i01.010","url":null,"abstract":". In this paper, an attempt is made to define a new class of set namely pairwise neutrosophic α -open set via neutrosophic bitopological space. Besides, we study some properties of them.Further, we formulate several results based on them.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45289562","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 : 2022-05-03DOI: 10.46753/pjaa.2022.v09i01.003
K. Eftekharinasab
We prove a so-called linking theorem and some of its corollaries, namely a mountain pass theorem and a three critical points theorem for Keller $ C^1$-functional on $ C^1 $- Frechet manifolds. Our approach relies on a deformation result which is not implemented by considering the negative pseudo-gradient flows. Furthermore, for mappings between Frechet manifolds we provide a set of sufficient conditions in terms of the Palais-Smale condition that indicates when a local diffeomorphism is a global one.
{"title":"SOME CRITICAL POINT RESULTS FOR FRECHET MANIFOLDS","authors":"K. Eftekharinasab","doi":"10.46753/pjaa.2022.v09i01.003","DOIUrl":"https://doi.org/10.46753/pjaa.2022.v09i01.003","url":null,"abstract":"We prove a so-called linking theorem and some of its corollaries, namely a mountain pass theorem and a three critical points theorem for Keller $ C^1$-functional on $ C^1 $- Frechet manifolds. Our approach relies on a deformation result which is not implemented by considering the negative pseudo-gradient flows. Furthermore, for mappings between Frechet manifolds we provide a set of sufficient conditions in terms of the Palais-Smale condition that indicates when a local diffeomorphism is a global one.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44431226","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}
. The goal of this paper is to establish the existence and nonexistence of positive solutions to differential equations of order p
． 本文的目的是建立p阶微分方程正解的存在性和不存在性
{"title":"EXISTENCE AND NONEXISTENCE RESULTS FOR HIGHER ORDER DIFFERENTIAL EQUATIONS WITH NON-HOMOGENEOUS INTEGRAL BOUNDARY CONDITIONS","authors":"Namana Kanakayya, Sreedhar Namburi, Kapula Rajendra Prasad","doi":"10.46753/pjaa.2021.v08i02.001","DOIUrl":"https://doi.org/10.46753/pjaa.2021.v08i02.001","url":null,"abstract":". The goal of this paper is to establish the existence and nonexistence of positive solutions to differential equations of order p","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49020841","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 : 2021-12-31DOI: 10.46753/pjaa.2021.v08i02.004
{"title":"APPROXIMATE SOLUTION FOR PROPORTIONAL-DELAY RICCATI DIFFERENTIAL EQUATIONS BY HAAR WAVELET METHOD","authors":"","doi":"10.46753/pjaa.2021.v08i02.004","DOIUrl":"https://doi.org/10.46753/pjaa.2021.v08i02.004","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42015827","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 : 2021-12-31DOI: 10.46753/pjaa.2021.v08i02.002
Aldison M. Asdain, M. A. Labendia
. This paper aims is to introduce a new class of open set defined using e -closure operator, which we call the θ e -open set. It is worth noting that the family of all θ e -open sets forms a topology. We then investigate the relationship of this set to the other well-known concepts in topology such as the classical open, θ -open and e -open sets. We also characterize the concepts of θ e -connected space, some versions of separation axioms with respect to θ e -open sets, and θ e -continuous function from an arbitrary topological space into the product space
{"title":"THE TOPOLOGY OF θ_e-OPEN SETS","authors":"Aldison M. Asdain, M. A. Labendia","doi":"10.46753/pjaa.2021.v08i02.002","DOIUrl":"https://doi.org/10.46753/pjaa.2021.v08i02.002","url":null,"abstract":". This paper aims is to introduce a new class of open set defined using e -closure operator, which we call the θ e -open set. It is worth noting that the family of all θ e -open sets forms a topology. We then investigate the relationship of this set to the other well-known concepts in topology such as the classical open, θ -open and e -open sets. We also characterize the concepts of θ e -connected space, some versions of separation axioms with respect to θ e -open sets, and θ e -continuous function from an arbitrary topological space into the product space","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47209174","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 : 2021-12-31DOI: 10.46753/pjaa.2021.v08i02.003
{"title":"SEMI-CONTINUOUS K-G-FRAMES","authors":"","doi":"10.46753/pjaa.2021.v08i02.003","DOIUrl":"https://doi.org/10.46753/pjaa.2021.v08i02.003","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45975921","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 : 2021-12-31DOI: 10.46753/pjaa.2021.v08i02.005
{"title":"BOUNDS ON ZALCMAN CONJECTURE AND H2(2) OF λ-PSEUDO-STARLIKE FUNCTIONS RELATED TO A SHELL-LIKE DOMAIN","authors":"","doi":"10.46753/pjaa.2021.v08i02.005","DOIUrl":"https://doi.org/10.46753/pjaa.2021.v08i02.005","url":null,"abstract":"","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47364425","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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