非线性2n阶边值问题解的多重性

Multiple of Solutions for 2n-order Nonlinear Boundary Value Problems

研究了一类非线性2n阶微分方程边值问题解的多重性。利用一个著名的三解定理证明了当其非线性项满足一定条件时,该问题至少有三个不同的解。

In this paper,we study the multiple of the solutions for 2n-order boundary value problem.If certain conditions are imposed on the nonlinear term,the result is proved that there are at least three distinct solutions by using a famous three solutions theorem.