一类非线性泛函积分方程在Holder空间解的存在性

IF 0.5 Q3 MATHEMATICS Armenian Journal of Mathematics Pub Date : 2020-08-28 DOI:10.52737/18291163-2020.12.7-1-8

Dipankar Saha, M. Sen, Nimai Sarkar, Subhankar Saha

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引用次数: 2

摘要

本文主要讨论在Holder空间中定义的非紧性测度的应用。本文的重点是研究变参数非线性泛函积分方程。精确地说，在一定的假设条件下，利用Darbo不动点定理得到了解的存在性。最后，我们提供了一个具体的例子来支持我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence of a solution in the Holder space for a nonlinear functional integral equation

This article is entirely devoted to the application of the measure of noncompactness defined in the Holder space. Here the emphasis is on the study of the nonlinear functional integral equation with changed arguments. Precisely, the existence of a solution is obtained by employing the Darbo fixed point theorem under certain hypotheses. Finally, we provide a tangible example which supports our results.

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