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Topological Methods in Nonlinear Analysis最新文献

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Mild solutions to a class of nonlinear second order evolution equations 一类非线性二阶演化方程的温和解
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2024-03-03 DOI: 10.12775/tmna.2023.021
Jésus Garcia-Falset
{"title":"Mild solutions to a class of nonlinear second order evolution equations","authors":"Jésus Garcia-Falset","doi":"10.12775/tmna.2023.021","DOIUrl":"https://doi.org/10.12775/tmna.2023.021","url":null,"abstract":"The purpose of this paper is to study the existence of mild\u0000solutions to a class of second order nonlinear evolution equations of the form\u0000begin{equation*}\u0000begin{cases}\u0000 u''(t)+A(u'(t))+B(u(t))ni f(t), &tin(0,T),\u0000u(0)=u_0, quad u'(0)=g(u')\u0000end{cases}\u0000end{equation*} \u0000where\u0000$Acolon D(A)subseteq Xrightarrow 2^{X}$ is an $m$-accretive operator\u0000on a Banach space $X,$ $B: Xrightarrow X$ is a lipschitz mapping, \u0000$gcolon C([0,T];X)to X$ is a function and $fin L^1(0,T,X)$. \u0000We obtain sufficient conditions for this problem to have at least a mild solution.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140081284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On solutions vanishing at infinity of infinite systems of quadratic Urysohn integral equations 论二次乌里索恩积分方程无限系统的无穷大处消失解
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2024-03-03 DOI: 10.12775/tmna.2023.046
Józef Banaś, Justyna Madej
{"title":"On solutions vanishing at infinity of infinite systems of quadratic Urysohn integral equations","authors":"Józef Banaś, Justyna Madej","doi":"10.12775/tmna.2023.046","DOIUrl":"https://doi.org/10.12775/tmna.2023.046","url":null,"abstract":"The paper is devoted to present a result on the existence of solutions of an infinite system of quadratic integral equations of \u0000the Urysohn type considered on the real half-axis. Our investigations are conducted in the Banach space consisting of bounded and continuous functions\u0000defined on the real half-axis with values in the space of real sequences converging to zero. That space is equipped with the standard supremum norm. \u0000The main tools used in our study is the technique of measures of noncompactness and the Schauder fixed point principle. \u0000We illustrate our result by a suitable example.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140267149","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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 results for convex orbital nonexpansive type mappings 凸轨道非展开型映射的定点结果
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2024-03-03 DOI: 10.12775/tmna.2023.047
E. Llorens-Fuster
{"title":"Fixed point results for convex orbital nonexpansive type mappings","authors":"E. Llorens-Fuster","doi":"10.12775/tmna.2023.047","DOIUrl":"https://doi.org/10.12775/tmna.2023.047","url":null,"abstract":"We define some classes of generalized nonexpansive mappings under assumptions concerning the convex combinations of two consecutive points in their orbits. \u0000For these mappings, in the setting of Banach spaces that enjoy normal structure, we provide several fixed point results.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140080883","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiplicity and concentration of positive solutions to the double phase Kirchhoff type problems with critical growth 具有临界增长的双相基尔霍夫型问题正解的多重性和集中性
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2024-03-03 DOI: 10.12775/tmna.2023.026
Jie Yang, Lintao Liu, Fengjuan Meng
{"title":"Multiplicity and concentration of positive solutions to the double phase Kirchhoff type problems with critical growth","authors":"Jie Yang, Lintao Liu, Fengjuan Meng","doi":"10.12775/tmna.2023.026","DOIUrl":"https://doi.org/10.12775/tmna.2023.026","url":null,"abstract":"The aim of this paper is to study the multiplicity and concentration\u0000of positive solutions to the $(p,q)$ Kirchhoff-type problems\u0000involving a positive potential and a continuous nonlinearity with critical growth\u0000at infinity. Applying penalization techniques, truncation methods and the\u0000Lusternik-Schnirelmann theory, we investigate a relationship between\u0000 the number of positive solutions\u0000and the topology of the set where the potential $V$ attains its minimum values.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140081217","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A fixed point theorem for nonself nonlinear contractions in length spaces 长度空间非自非线性收缩的定点定理
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2024-03-03 DOI: 10.12775/tmna.2023.007
Simeon Reich, A. Zaslavski
{"title":"A fixed point theorem for nonself nonlinear contractions in length spaces","authors":"Simeon Reich, A. Zaslavski","doi":"10.12775/tmna.2023.007","DOIUrl":"https://doi.org/10.12775/tmna.2023.007","url":null,"abstract":"In 1988 N.A. Assad showed that a nonself nonlinear contraction taking a closed \u0000subset of a complete metrically convex space into the space so that the boundary \u0000of this subset is mapped back into the subset itself has a unique fixed point.\u0000 In the present paper we extend this result by replacing the complete metrically\u0000 convex space with a complete metric space which is a length space.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140266999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On infinite systems of nonlinear integral equations in two variables in Banach Space $BC(mathbb{R_+}times mathbb{R_+},c_0$) 论巴拿赫空间 $BC(mathbb{R_+}times mathbb{R_+},c_0$) 中两变量非线性积分方程的无限系统
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2024-03-03 DOI: 10.12775/tmna.2023.050
A. Jan, Tanweer Jalal
{"title":"On infinite systems of nonlinear integral equations in two variables in Banach Space $BC(mathbb{R_+}times mathbb{R_+},c_0$)","authors":"A. Jan, Tanweer Jalal","doi":"10.12775/tmna.2023.050","DOIUrl":"https://doi.org/10.12775/tmna.2023.050","url":null,"abstract":"In this paper, the solvability of an infinite system of integral equations of the\u0000 Volterra-Hammerstein type in Banach space $BC(mathbb{R_+}times mathbb{R_+},c_0$) is examined. \u0000 Technique associated with the measure of noncompactness plays the most important role in adopted analysis \u0000 and authors present an example to validate the applicability of the result.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140267051","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some generalized nonexpansive mappings and weak normal structure 一些广义非展开映射和弱法线结构
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2024-03-03 DOI: 10.12775/tmna.2023.049
Bożena Piątek
{"title":"Some generalized nonexpansive mappings and weak normal structure","authors":"Bożena Piątek","doi":"10.12775/tmna.2023.049","DOIUrl":"https://doi.org/10.12775/tmna.2023.049","url":null,"abstract":"We consider relations between normal structure of a Banach space and the fixed point property for various classes of \u0000generalized nonexpansive mappings under additional assumptions, such as that of continuity. \u0000In this way we answer some open questions about the behaviour of such maps.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140267242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Traveling wave solutions in a higher dimensional lattice delayed cooperation system with nonlocal diffusion 具有非局部扩散的高维晶格延迟合作系统的行波解
4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2023-09-30 DOI: 10.12775/tmna.2023.011
Kun Li, Yanli He
{"title":"Traveling wave solutions in a higher dimensional lattice delayed cooperation system with nonlocal diffusion","authors":"Kun Li, Yanli He","doi":"10.12775/tmna.2023.011","DOIUrl":"https://doi.org/10.12775/tmna.2023.011","url":null,"abstract":"This paper is concerned with the existence of traveling wave solutions of a higher dimensional lattice delayed cooperation system with nonlocal diffusion. For sufficiently small intraspecific cooperative delays, we construct upper and lower solutions under two different parameters conditions. And then, by using the monotone iterative and Schauder's fixed point theorem, we obtain the existence of traveling wave solutions. The lower bound of the wave speed is in accordance with the properties of linear determined.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135038943","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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 sign-changing solutions for a third-order boundary value problem with nonlocal conditions of integral type 一类三阶积分型非局部边值问题变符号解的存在性
4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2023-09-23 DOI: 10.12775/tmna.2022.074
Sergey Smirnov
{"title":"Existence of sign-changing solutions for a third-order boundary value problem with nonlocal conditions of integral type","authors":"Sergey Smirnov","doi":"10.12775/tmna.2022.074","DOIUrl":"https://doi.org/10.12775/tmna.2022.074","url":null,"abstract":"We prove the existence of at least one sign-changing solution for a third-order nonlocal boundary value problem by applying Leray-Schauder Continuation Principle. To illustrate the applicability of the obtained results, we consider an example.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135966920","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the existence of periodic solutions for Liénard type $phi$-Laplacian equation lisamadard型$ φ $-拉普拉斯方程周期解的存在性
4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2023-09-23 DOI: 10.12775/tmna.2022.067
Congmin Yang, Zaihong Wang
{"title":"On the existence of periodic solutions for Liénard type $phi$-Laplacian equation","authors":"Congmin Yang, Zaihong Wang","doi":"10.12775/tmna.2022.067","DOIUrl":"https://doi.org/10.12775/tmna.2022.067","url":null,"abstract":"In this paper, we study the existence of periodic solutions for a Liénard type $phi$-Laplacian equation $$ (phi(x'))'+f(x)x'+g(x)=p(t). $$ We prove a continuation lemma and use it to prove the existence of periodic solutions for above equation when $g$ or $G$ (the primitive of $g$) satisfies some one-sided or bilateral growth conditions and $F$ (the primitive of $f$) satisfies sublinear condition.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135966113","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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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