Mathematics and Computer Science |
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Existence of solutions for a class of third-order two-point boundary value problems |
Liyuan WANG( ),Ruyun MA( ) |
School of Mathematics and Statistics,Xidian University,Xi'an 710126,Shaanxi Province,China |
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Abstract In this paper, we consider the boundary value problems of third-order nonlinear ordinary differential equation where satisfies Carathéodory conditions. Under some suitable growth conditions on , we show that the above problem has at least one solution. The proof of the main results is based on Leray-Schauder fixed point theorem.
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Received: 06 March 2023
Published: 07 May 2024
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Corresponding Authors:
Ruyun MA
E-mail: wly13707667619@163.com;ryma@xidian.edu.cn
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一类三阶两点边值问题解的存在性
考察了三阶非线性常微分方程边值问题其中满足Carathéodory条件。在非线性项满足适当增长性条件下,三阶非线性常微分方程边值问题至少存在1个解。基于Leray-Schauder不动点定理证明了主要结果。
关键词:
三阶常微分方程,
边值问题,
Leray-Schauder不动点定理,
存在性
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