一类三阶非线性微分方程周期边值问题解的存在性

Existence of solutions for a class of third-order nonlinear ordinary differential equations with periodic boundary value

摘要:

本文讨论了一类三阶常微分方程周期边值问题解的存在性. 在非线性项满足适当的增长条件下,本文应用Fourier分析法与Leray-Schauder不动点定理获得了该问题解的存在唯一性结果.

Abstract:

In this paper, the existence of solutions for a class of third-order ordinary differential equation with periodic boundary value is considered. By applying the Fourier~analysis method and Leray-Schauder fixed point theorem, the existence and uniqueness of the solutions of the equation are obtained under the nonlinear term satisfies the proper growth conditions.