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.

This paper provides sufficient conditions for the existence of a class of nonlinear higher order three point boundary value problems using the Leray-Schauder fixed point theorem in various fields.

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

Key Takeaway: This paper provides sufficient conditions for the existence of a class of nonlinear higher order three point boundary value problems using the Leray-Schauder fixed point theorem in various fields.