加权Sobolev空间$W中双变量积分方程组的可解性^{1,1}_\ω（a，b）$使用非紧性的广义测度

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2022-06-30 DOI:10.15388/namc.2022.27.27961

Taqi A. M. Shatnawi, A. Boudaoui, W. Shatanawi, Noura Laksaci

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引用次数: 1

摘要

本文讨论了加权Sobolev空间E=Wω1,1（a，b）xWω1,1（a，b）的笛卡尔乘积中一个积分方程耦合系统解的存在性。结果是用向量值范数装备空间E，并使用[F.P.Najafabad，J.J.Nieto，H.A.Kayvanloo，加权Sobolev空间上的非紧性测度及其在一些非线性卷积型积分方程中的应用，J.A。不动点理论应用。，22（3），752020]应用广义Darbo不动点定理[J.R.Graef、J.Henderson和A.Ouahab，微分方程和包含的拓扑方法，CRC出版社，佛罗里达州博卡拉顿，2018]。

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Solvability of a system of integral equations in two variables in the weighted Sobolev space $W^{1,1}_\omega(a,b)$ using a generalized measure of noncompactness

In this paper, we deal with the existence of solutions for a coupled system of integral equations in the Cartesian product of weighted Sobolev spaces E = Wω1,1 (a,b) x Wω1,1 (a,b). The results were achieved by equipping the space E with the vector-valued norms and using the measure of noncompactness constructed in [F.P. Najafabad, J.J. Nieto, H.A. Kayvanloo, Measure of noncompactness on weighted Sobolev space with an application to some nonlinear convolution type integral equations, J. Fixed Point Theory Appl., 22(3), 75, 2020] to applicate the generalized Darbo’s fixed point theorem [J.R. Graef, J. Henderson, and A. Ouahab, Topological Methods for Differential Equations and Inclusions, CRC Press, Boca Raton, FL, 2018].

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.