用s -迭代法研究高阶非线性volterra fredholm积分微分方程解的存在性

IF 0.2 Q4 MATHEMATICS, APPLIED

Advances in Differential Equations and Control Processes Pub Date : 2023-06-28 DOI:10.17654/0974324323014

H. L. Tidke, G. Patil

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引用次数: 0

摘要

本文研究了一类高阶非线性Volterra—Fredholm积分微分方程解的存在性及其它性质。分析中使用的工具是基于S迭代方法的应用。使用S迭代方法获得了各种性质，如对初始数据的依赖性、解的接近性以及对其中涉及的参数和函数的依赖性。提供了支持调查结果的例子。

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 SOLUTIONS FOR NONLINEAR VOLTERRA FREDHOLM INTEGRODIFFERENTIAL EQUATION OF HIGHER ORDER VIA S-ITERATION METHOD

In this paper, we study the existence and other properties of the solution of the nonlinear Volterra Fredholm integrodifferential equation of higher order. The tool employed in the analysis is based on the application of the S-iteration method. Various properties such as dependence on initial data, closeness of solutions and dependence on parameters and functions involved therein are obtained using the S-iteration method. Examples are provided in support of findings.

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Advances in Differential Equations and Control Processes MATHEMATICS, APPLIED-

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