非线性Sturm-Liouville边值问题的变号解  

Sign-changing Solutions to the nonlinear Sturm-Liouville boundary value problem

作　　者：纪宏伟[1] JI Hong-wei(Department of mathematics and physics, Nantong Teachers College, Nantong Jiangshu 226010,Chin)

机构地区：[1]南通师范高等专科学校数理系,江苏南通226010

出　　处：《西南师范大学学报（自然科学版）》2018年第5期17-22,共6页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：江苏省高校青蓝工程基金(2014);江苏省高校教改项目(2015JSJG391)

摘　　要：讨论了Sturm-Liouville两点边值问题Lφ=fφ,0≤x≤1αφ(0)-βφ′(0)=0,γφ(1)+δφ′(1)=0变号解的存在性,并由此研究了Hammerstein型积分方程变号解更一般的情况,得出具有普遍性的结果,改进了之前工作.In this paper, consider the existence of sign-changing solutions for the nonlinear Sturm-Liouville boundary value problem Lφ=fφ, 0≤x≤1 αφ（0）-βφ′（0）=0, γφ（1）＋δφ′（1）=0 Besides, the existence of sign-changing solutions and the more general case of the Hammerstein integral equation are studied, and the general results are obtained, and the previous work is improved.

关 键 词：Sturm-Liouville两点边值问题 变号解 HAMMERSTEIN积分方程 

分 类 号：O175[理学—数学]