具P-Laplace算子Sturm-Liouville型边值问题多个正解的存在性

Multiple Positive Solutions of Discrete Sturm-Liouville-Like P-Laplacian Boundary Value Problems

利用Leggett-Williams不动点定理研究一类离散具p-Laplace算子Sturm-Liouville型边值问题,给出问题至少存在三个正解的几个充分条件。

By using the Leggett-Williams fixed point theorem,a class of discrete Sturm-Liouville-like p-Laplacian boundary value problem is studied and some sufficient conditions for the existence of at least three positive solutions for the boundary value problem are obtained.