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Advances in the Theory of Nonlinear Analysis and its Application最新文献

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AN EFFICIENT NUMERICAL TECHNIQUE FOR SOLVING HEAT EQUATION WITH NONLOCAL BOUNDARY CONDITIONS 求解非局部边界条件下热方程的一种有效数值方法
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-01-01 DOI: 10.31197/atnaa.846217
Z. Hammouch, Anam Zahra, Aziz Ur Rehman, S. A. Mardan
{"title":"AN EFFICIENT NUMERICAL TECHNIQUE FOR SOLVING HEAT EQUATION WITH NONLOCAL BOUNDARY CONDITIONS","authors":"Z. Hammouch, Anam Zahra, Aziz Ur Rehman, S. A. Mardan","doi":"10.31197/atnaa.846217","DOIUrl":"https://doi.org/10.31197/atnaa.846217","url":null,"abstract":"","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72974954","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: 1
Hu's characterization of metric completeness revisited 胡对度量完备性的描述
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-01-01 DOI: 10.31197/atnaa.1090077
Salvador ROMAGUERA BONİLLA
{"title":"Hu's characterization of metric completeness revisited","authors":"Salvador ROMAGUERA BONİLLA","doi":"10.31197/atnaa.1090077","DOIUrl":"https://doi.org/10.31197/atnaa.1090077","url":null,"abstract":"In this note we show the somewhat surprising fact that the proof of the `if part' of the distinguished characterizations of metric completeness due to Kirk, and Suzuki and Takahashi, respectively, can be deduced in a straightforward manner from Hu's theorem that a metric space is complete if and only if any Banach contraction on bounded and closed subsets thereof has a fixed point. We also take advantage of this approach to easily deduce a characterization of metric completeness via fixed point theorems for $alpha -psi $-contractive mappings.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"136 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77706618","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 results for nonlocal Cauchy problem of nonlinear $psi-$Caputo type fractional differential equations via topological degree methods 用拓扑度方法求非线性$psi-$Caputo型分数阶微分方程非局部Cauchy问题的存在性结果
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-01-01 DOI: 10.31197/atnaa.1059793
Ali El Mfadel, S. Melliani, Elomari M'hamed
{"title":"Existence results for nonlocal Cauchy problem of nonlinear $psi-$Caputo type fractional differential equations via topological degree methods","authors":"Ali El Mfadel, S. Melliani, Elomari M'hamed","doi":"10.31197/atnaa.1059793","DOIUrl":"https://doi.org/10.31197/atnaa.1059793","url":null,"abstract":"","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79283167","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: 8
Some new equivalents of the Brouwer fixed point theorem browwer不动点定理的几个新等价
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-01-01 DOI: 10.31197/atnaa.1086232
Sehie Park
{"title":"Some new equivalents of the Brouwer fixed point theorem","authors":"Sehie Park","doi":"10.31197/atnaa.1086232","DOIUrl":"https://doi.org/10.31197/atnaa.1086232","url":null,"abstract":"","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89136835","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: 8
Zipper Fractal Functions with Variable Scalings 拉链分形函数与可变缩放
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-01-01 DOI: 10.31197/atnaa.1149689
.. Vi̇jay, A. Chand
{"title":"Zipper Fractal Functions with Variable Scalings","authors":".. Vi̇jay, A. Chand","doi":"10.31197/atnaa.1149689","DOIUrl":"https://doi.org/10.31197/atnaa.1149689","url":null,"abstract":"Zipper fractal interpolation function (ZFIF) is a generalization of fractal interpolation function through an improved version of iterated function system by using a binary parameter called a signature. The signature allows the horizontal scalings to be negative. ZFIFs have a complex geometric structure, and they can be non-differentiable on a dense subset of an interval I. In this paper, we construct k-times continuously differentiable ZFIFs with variable scaling functions on I. Some properties like the positivity, monotonicity, and convexity of a zipper fractal function and the one-sided approximation for a continuous function by a zipper fractal function are studied. The existence of Schauder basis of zipper fractal functions for the space of k-times continuously differentiable functions and the space of p-integrable functions for p ∈ [1,∞) are studied. We introduce the zipper versions of full Müntz theorem for continuous function and p-integrable functions on I for p ∈ [1,∞).","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"392 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81733774","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: 2
NONEXISTENCE RESULTS FOR SEMI-LINEAR MOORE-GIBSON-THOMPSON EQUATION WITH NON LOCAL OPERATOR 具有非局部算子的半线性moore-gibson-thompson方程的不存在性
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-01-01 DOI: 10.31197/atnaa.947937
Hakem Ali, S. Georgiev
{"title":"NONEXISTENCE RESULTS FOR SEMI-LINEAR MOORE-GIBSON-THOMPSON EQUATION WITH NON LOCAL OPERATOR","authors":"Hakem Ali, S. Georgiev","doi":"10.31197/atnaa.947937","DOIUrl":"https://doi.org/10.31197/atnaa.947937","url":null,"abstract":"","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82601953","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
On Solving SDEs with linear coefficients and application to stochastic epidemic models 求解线性系数SDEs及其在随机流行病模型中的应用
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-01-01 DOI: 10.31197/atnaa.948300
Youssef El-Khatib, Q. Al‐Mdallal
{"title":"On Solving SDEs with linear coefficients and application to stochastic epidemic models","authors":"Youssef El-Khatib, Q. Al‐Mdallal","doi":"10.31197/atnaa.948300","DOIUrl":"https://doi.org/10.31197/atnaa.948300","url":null,"abstract":"","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"65 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73361115","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: 1
Fixed points of $rho$-nonexpansive mappings using MP iterative process 用MP迭代法求解$rho$-非膨胀映射的不动点
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-01-01 DOI: 10.31197/atnaa.980093
Anju Panwar, R. -, Santosh Kumar
{"title":"Fixed points of $rho$-nonexpansive mappings using MP iterative process","authors":"Anju Panwar, R. -, Santosh Kumar","doi":"10.31197/atnaa.980093","DOIUrl":"https://doi.org/10.31197/atnaa.980093","url":null,"abstract":"","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"73 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89430667","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: 3
Existence of Positivity of the Solutions for Higher Order Three-Point Boundary Value Problems involving p-Laplacian 涉及p-拉普拉斯算子的高阶三点边值问题解的正存在性
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-01-01 DOI: 10.31197/atnaa.845044
Ravi Sankar, Sreedhar Namburi, K. Rajendra Prasad
{"title":"Existence of Positivity of the Solutions for Higher Order Three-Point Boundary Value Problems involving p-Laplacian","authors":"Ravi Sankar, Sreedhar Namburi, K. Rajendra Prasad","doi":"10.31197/atnaa.845044","DOIUrl":"https://doi.org/10.31197/atnaa.845044","url":null,"abstract":"The present study focusses on the existence of positivity of the solutions to the higher order three-point boundary value problems involving $p$-Laplacian $$[phi_{p}(x^{(m)}(t))]^{(n)}=g(t,x(t)),~~t in [0, 1],$$ $$ begin{aligned} x^{(i)}(0)=0, &text{~for~} 0leq ileq m-2, x^{(m-2)}(1)&-alpha x^{(m-2)}(xi)=0, [phi_{p}(x^{(m)}(t))]^{(j)}_{text {at} ~ t=0}&=0, text{~for~} 0leq jleq n-2, [phi_{p}(x^{(m)}(t))]^{(n-2)}_{text {at} ~ t=1}&-alpha[phi_{p}(x^{(m)}(t))]^{(n-2)}_{text {at} ~ t=xi}=0, end{aligned} $$ where $m,ngeq 3$, $xiin(0,1)$, $alphain (0,frac{1}{xi})$ is a parameter. The approach used by the application of Guo--Krasnosel'skii fixed point theorem to determine the existence of positivity of the solutions to the problem.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"125 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80379840","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
Analytical studies on the global existence and blow-up of solutions for a free boundary problem of two-dimensional diffusion equations of moving fractional order 一类运动分数阶二维扩散方程自由边界问题解的整体存在性和爆破性的解析研究
Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-01-01 DOI: 10.31197/atnaa.1031436
Rabah Djemiat, Bilal Basti, Noureddine Benhamidouche
{"title":"Analytical studies on the global existence and blow-up of solutions for a free boundary problem of two-dimensional diffusion equations of moving fractional order","authors":"Rabah Djemiat, Bilal Basti, Noureddine Benhamidouche","doi":"10.31197/atnaa.1031436","DOIUrl":"https://doi.org/10.31197/atnaa.1031436","url":null,"abstract":"","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89769655","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: 2
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