一类非线性高阶三点边值问题可解的充分条件

Sufficient Conditions on the Existence of A Class of Nonlinear Higher Order Three Point Boundary Value

微分方程边值问题广泛应用于机械、电讯、化工、物理学、应用数学、航天、生物等领域,随着微分方程的理论逐步完善和求解的深入研究,研究边值问题得到了许多结果,其中不乏一些重要的结论。在本文中,我们考虑的是一类非线性高阶三点边值问题,利用已有的结论在给定条件下的增长区间内,我们主要通过Leray-Schauder不动点定理得到题存在的一些充分条件。

Boundary value problems of differential equations are widely used in machinery, telecommunications, chemical engineering, physics, applied mathematics, aerospace, biology and other fields. With the further research on the theory of differential equation, the study of boundary value problems has got a lot of results, some of which have some important conclusions. In this paper, we consider a class of nonlinear higher order three point boundary value problem, by using use of the existing results in the range of growth under given conditions, some sufficient conditions for the existence of the problems are obtained by using the Leray-Schauder fixed point theorem.