标题:
一类四阶两点边值问题正解的存在性与多解性Existence and Multiplicity of Positive Solutions for a Fourth-Order Two-Point Boundary Value Problem
作者:
余立
关键字:
两点边值问题, 正解, 上下解方法, 拓扑度Two-Point Boundary Problem; Positive Solutions; Lower and Upper Solutions; Topological
Degree
期刊名称:
《Pure Mathematics》, Vol.3 No.6, 2013-11-14
摘要:
本文讨论非线性四阶两点边值问题，，，。正解的存在性与多解性，其中为参数。运用上下解方法和拓扑度理论，在非线性项满足较弱条件时，获得了上述问题正解及多个正解的存在性。In this paper, using the lower and upper solution methods and the topological degree theory, we study the fourth-order two-point boundary value problem , , ,with nonhomogeneous boundary condition, where>0 is a parameter,. Under a weaker condition on ƒ , we obtain the exis- tence of a positive solution and multiple positive solutions for this class of problems.