一类n-阶非线性边值问题正解的存在性与唯一性的几个充分条件

Several sufficient conditions for existence and uniqueness of positive solution for a nonlinear n-order boundary value problem

利用不动点定理和积分方程研究了一类非线性n-阶边值问题,获得了其非平凡正解存在性的新结果.在此基础上给出了此边值问题非平凡正解的存在性与唯一性的几个充分条件,推广和改进了以前文献的相关结果.

A class of nonlinear n-order boundary value problems was studied and the existence of non-trivial positive solution was obtained by making use of the fixed point theorem in cone,on the basis of which we have estabished several sufficient conditions for the existence of non-trivial positive solution to the nonlinear n-order boundary value problem and improved the results published in literatures.