山东理工大学学报：自然科学版2012，Vol.26Issue(2)：52-55,4.
含下有界非线性项的一类特征值问题解的存在性
The existence of solutions for a class of eigenvalue problems with bounded-below nonlinearly
摘要
Abstract
By using the Krasnosel′skii fixed point theorem of cone expansion-compression type,it is shown that a class of three-order three-point eigenvalue problem with bounded-below nonlinearly has at least one positive solution for λ in a compatible interval.When λ=1,under suitable conditions,the sufficient conditions of existence of multiple solutions for this class boundary value problem are established.Some new existence and multiplicity conclusions of solutions are obtained.关键词
特征值问题/不动点定理/锥Key words
eigenvalue problems/fixed point theorem/cone分类
数学引用本文复制引用
韩开山,刘宝芳..含下有界非线性项的一类特征值问题解的存在性[J].山东理工大学学报：自然科学版,2012,26(2):52-55,4.
