一类含双参量边值问题的多重解  

Multiplicity Results for A Boundary Value Problem with Double Parameter

作　　者：高黎明[1] 

机构地区：[1]包头铁道职业技术学院数学系,内蒙古包头014000

出　　处：《数学物理学报（A辑）》2015年第1期50-55,共6页Acta Mathematica Scientia

摘　　要：运用Bonanno创立的变分法讨论一类带双参变量的斯图姆-刘维尔边值问题多重解的存在性.尤其是在非线性扰动下,找到了其三解的存在性。The aim of this note is to establish the existence of multiple solutions for SturmLiouville boundary value problems.Proofs are based on variational methods as developed in the important works of Bonanno.In particular,the existence of three solutions for a SturmLiouville problem,even under a perturbation of the nonlinearity,is established.

关 键 词：临界点 三解 斯图姆-刘维尔边值问题 

分 类 号：O175.5[理学—数学]