| 一类偶数阶Robin型积分边值问题三重正解的存在性 |
| |
| 引用本文： | 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). |
| |
| 作者姓名： | 李萍萍 裴明鹤 |
| |
| 作者单位： | 北华大学数学与统计学院,吉林 吉林,132013;北华大学数学与统计学院,吉林 吉林,132013 |
| |
| 基金项目： | 吉林省教育厅科学技术研究项目 |
| |
| 摘 要： | 利用Leggett-Williams不动点定理,得到非线性偶数阶微分方程y(2n)(t)=f(t,y(t),y″(t),…,y(2(n-1))(t)),t∈0,1],满足Robin型积分边界条件y(2i)(0)=∫10ki(s)y(2i)(s)ds,y(2i+1)(1)=0,i=0,1,…,n-1的边值问题三重正解的存在性.
|
| 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 |
Existence of Triple Positive Solutions of a Even-Order Robin Type BVPs with Integral Boundary Conditions |
| |
| Li Pingping,Pei Minghe.Existence of Triple Positive Solutions of a Even-Order Robin Type BVPs with Integral Boundary Conditions[J].Journal of Beihua University(Natural Science),2017,18(5). |
| |
| Authors: | Li Pingping Pei Minghe |
| |
| 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. |
| |
| Keywords: | even-order boundary value problem integral boundary condition triple positive solutions Leggett-Williams fixed point theorem |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
