The Researches Of The Existence And Uniqueness Of Solutions Of Boundary Value Problems For Third Or Fourth Order Differential Equations

In this article, the author uses chiefly Schauder's fixed point theorem to prove existence of the solutions of boundary value problems. Then the author uses the connection of lower solution and lower function to study uniqueness of solution of boundary value problems. This article contains three sections:Chapter 1:the author introduces chiefly the meaning, the current situation and the purpose of studying the existence and uniqueness of solutions of two-point boundary value problems for third or fourth order nonlinear differential equations, and the main ideas of this article.Chapter 2:the author uses Schauder's fixed point theorem to study existence of the solutions of boundary value problems and the relation of the upper solution and the upper function to study the existence and uniqueness of solutions of two-point boundary value problemsChapter 3:the author studies existence of the solutions of boundary value problems...