摘要
研究具有奇异超线性周期边值问题多重正解的存在性,利用非线性Leray-Schauder抉择定理和Krasnoselskii锥不动点定理,证明了在一定条件下,且非线性项具有奇异和超线性时,此问题至少存在两个正解.
This paper deals with the multiplicity of positive solutions to singular superlinear equations with periodic boundary value problems. It is proved that such a problem has at least two positive solutions under our reasonable conditions when the nonlinear term possesses singularity and super-linearity. The proof relies on a nonlinear alternative of Leray-Schauder theorem and Krasnoselskii on fixed point theorem in cones.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2009年第3期487-491,共5页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:10571021)
