一类含双参量边值问题的多重解

数学物理学报 ›› 2015, Vol. 35 ›› Issue (1): 50-55.

一类含双参量边值问题的多重解

高黎明

包头铁道职业技术学院数学系内蒙古包头 014000

收稿日期:2013-05-29 修回日期:2014-02-10 出版日期:2015-02-25 发布日期:2015-02-25

Multiplicity Results for A Boundary Value Problem with Double Parameter

GAO Li-Meng

Mathematics Department, Baotou Railway Vocational Technical College,Inner Mongolia |Baotou 014000

Received:2013-05-29 Revised:2014-02-10 Online:2015-02-25 Published:2015-02-25

摘要/Abstract

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.

关键词: 临界点 , 三解 , 斯图姆-刘维尔边值问题

Abstract:

The aim of this note is to establish the existence of multiple solutions for Sturm-Liouville 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 Sturm-Liouville problem, even under a perturbation of the nonlinearity, is established.

Key words: Critical points, Three solutions , Sturm-Liouville boundary value problems

中图分类号:

34B08

高黎明. 一类含双参量边值问题的多重解[J]. 数学物理学报, 2015, 35(1): 50-55.

GAO Li-Meng. Multiplicity Results for A Boundary Value Problem with Double Parameter[J]. Acta mathematica scientia,Series A, 2015, 35(1): 50-55.

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