具有可分解核函数的Volterra积分方程的解

IF 0.9 4区数学 Q2 MATHEMATICS Journal of Integral Equations and Applications Pub Date : 2022-06-01 DOI:10.1216/jie.2022.34.135

E. Agyingi

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引用次数: 0

摘要

本文研究了一类非线性Volterra积分方程的解，x(t) = g(t) +∫t ^ 0 k(t, s);X (s))ds， (t≥t0)，其中核函数k是有限可分解的，并推导出参数变分公式，提供了相应的扰动非线性方程的解。我们通过将积分方程与一类微分方程的初值问题联系起来，得到了这一点。

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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On the solution of Volterra integral equations with decomposable kernel functions

In this paper, we consider the soulution of a class of nonlinear Volterra integral equations, x(t) = g(t) + ∫ t t0 k(t, s; x(s))ds, (t ≥ t0), where the kernel function k is finitely decomposable, and derive variation of parameters formulae that provides the solution of corresponding perturbed nonlinear equations. We attain this by relating the integral equations to a certain class of initial value problems for ODEs, for which variation of parameters are also formulated.

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来源期刊

Journal of Integral Equations and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Integral Equations and Applications is an international journal devoted to research in the general area of integral equations and their applications. The Journal of Integral Equations and Applications, founded in 1988, endeavors to publish significant research papers and substantial expository/survey papers in theory, numerical analysis, and applications of various areas of integral equations, and to influence and shape developments in this field. The Editors aim at maintaining a balanced coverage between theory and applications, between existence theory and constructive approximation, and between topological/operator-theoretic methods and classical methods in all types of integral equations. The journal is expected to be an excellent source of current information in this area for mathematicians, numerical analysts, engineers, physicists, biologists and other users of integral equations in the applied mathematical sciences.