北华大学学报(自然科学版)2017,Vol.18Issue(5):565-571,7.DOI:10.11713/j.issn.1009-4822.2017.05.002
一类偶数阶Robin型积分边值问题三重正解的存在性
Existence of Triple Positive Solutions of a Even-Order Robin Type BVPs with Integral Boundary Conditions
摘要
Abstract
We obtained the existence of triple positive solutions for nonlinear even-order differential equation by using the Leggett-Williams fixed point theorem y(2n)(t)=f(t,y(t),y″(t),…,y(2(n-1))(t)), t∈[0,1] with Robin type integral boundary conditions y(2i)(0)=∫ 01 ki(s)y(2i)(s)ds, y(2i+1)(1)=0, i =0,1,…,n -1.关键词
偶数阶边值问题/积分边界条件/三重正解/Leggett-Williams不动点定理Key words
even-order boundary value problem/integral boundary condition/triple positive solutions/Leggett-Williams fixed point theorem分类
数理科学引用本文复制引用
李萍萍,裴明鹤..一类偶数阶Robin型积分边值问题三重正解的存在性[J].北华大学学报(自然科学版),2017,18(5):565-571,7.基金项目
吉林省教育厅科学技术研究项目(2016-45). (2016-45)