三阶非线性常微分方程边值问题解的存在性与唯一性

Existence and Uniqueness of Solutions to Boundary Value Problems for Third Order Nonlinear Ordinary Differential Equations

本文讨论了三阶非线性学微分方程之具有线性边界条件的两点边值问题解的存在、维一性以及三阶非线性常微分方程之具有非线性边界条件的两点、三点边值问题解的存在性。

In this paper we study third order nonlinear ordinary differential equations. The existence and uniqueness of solutions to two point boundary value problems with li- near boundary conditions as well as the existence of solutions to two point and three point boundary value problems with nonlinear boundary conditions are proved.