四川师范大学学报(自然科学版)2016,Vol.39Issue(6):843-845,3.DOI:10.3969/j.issn.1001-8395.2016.06.012
一类二阶Sturm-Liouville边值问题的多解性
Solvability of a Class of Second Order Sturm-Liouville Boundary Value Problem
摘要
Abstract
In this paper,we study the multiple solutions for a class of second-order Sturm-Liouville boundary value problemwhere f:[0,∞)→[0,∞) is continuous,and there exist two positive sequences {ai} and {bi} with ai<bi≤ ai+1≤ bi+1 for i=1,2,…,n,such that f(ai)=0,f(bi)=0,and f(u)<0 on (ai,bi).关键词
Sturm-Liouville边值问题/多解性/不动点指数定理Key words
Sturm-Liouville boundary value problem/multiple solutions/fixed point index theorem分类
数理科学引用本文复制引用
霍梅,韩晓玲..一类二阶Sturm-Liouville边值问题的多解性[J].四川师范大学学报(自然科学版),2016,39(6):843-845,3.基金项目
国家自然科学基金(11561063) (11561063)