具有线性和非线性扰动的非线性混合微分方程的边值问题

IF 1.4 Q2 MATHEMATICS, APPLIED

International Journal of Differential Equations Pub Date : 2020-09-22 DOI:10.1155/2020/9850924

S. Melliani, A. El Allaoui, L. S. Chadli

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引用次数: 0

摘要

研究一类具有线性摄动和非线性摄动的混合微分方程的边值问题。概括了第二类存在的问题。利用Leray-Schauder替代构造了存在性结果，并利用Banach不动点定理保证了唯一性。在本文的最后，给出了一个例子来说明所得结果。

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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Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations

The aim of this paper is to study a boundary value problem of the hybrid differential equation with linear and nonlinear perturbations. It generalizes the existing problem of second type. The existence result is constructed using the Leray–Schauder alternative, and the uniqueness is guaranteed by Banach’s fixed-point theorem. Towards the end of this paper, an example is provided to illustrate the obtained results.

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来源期刊

International Journal of Differential Equations MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

审稿时长

20 weeks