一类非线性泛函边值问题的可解性

On the Solvability of a Class of Nonlinear Functional Boundary Value Problems

本文考虑形如“x^((n))—∑_1~nA_i(t)x^((i—1))=f(t,x,x＇,…,x^((n—1))(0≤t≤1),B(x,x＇,…,x^(n—1))=0”的非线性泛函边值问题,利用Borsuk定理与Leray-Schaud-er不动点定理,得到了上述边值问题的若干可解性结果。

In this paper it is considered the nonlinear functional boundary value problem ' x(n) = suk theorem and the Leray-Schauder theorem,two existence theorems for the boundary value problem in question are obtained.