应用锥拉伸与锥压缩不动点定理,讨论了一类非线性四阶微分方程非局部边值问题的正解的存在性,构造了一个合适的锥和凸泛函,得到了该问题正解的存在性。
The nonlocal boundary value problem for a nonlinear fourth-order ordinary differential equation is considered.The existence of positive soluations is shown to the problem above by applying a generalization of the cone expansion and compression fixed point theorem.In order to study this problem,cone and convex functional are introduced.This method is different from others which discussed the existence of positive solutions about the problem.