二阶边值问题的存在唯一性定理

Existence and Uniqueness Theorems for a Second Order Boundary Value Problem

本文考虑以下二阶二点边值问题；ｘ＂＝ｆ（ｔ，ｘ，ｘ＇），ｘ（０）＝ｘ（１）＝０，利用基于度理论的不动点定理，建立了一系列存在唯一性定理．

In this Paper the following second order two-point boundary value Problem:xu￣f(t, x,XI ), x (0)= x(1) = 0 is considered. A series of existence and uniqueness theorems for above problem are establishedby using certain fixed POint theorem based on the degree theory.