四阶微分方程两点边值问题的三解(英文)

Three Solutions of Four Order Differential Equations for Two Point Boundary Value Problem

研究四阶微分方程两点边值问题,以B.Ricceri的3个临界点定理为工具,获得了四阶微分方程两点边值问题至少存在三个解的充分条件及推论,并对主要结果进行了证明.

This paper is concerned with the existence of at least three solutions for the four order differential equation two point boundary value problem. Our main tool is the three critical points theorem of B. Ricceri. We proved the existence of at least three solutions and our main results.