奇异二阶微分系统离散边值问题

胡卫敏; 梅雪晖

您当前的位置：

首页 >

文章列表页 >

奇异二阶微分系统离散边值问题

更新时间：2026-01-21

- 奇异二阶微分系统离散边值问题
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 111, Issue 3, Pages: 286-292(2008)
- 作者机构：
  
  1. 伊犁师范学院数学系
  2. 新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O175.8
- Published：2008
- 稿件说明：
移动端阅览
[1]胡卫敏,梅雪晖.奇异二阶微分系统离散边值问题[J].新疆大学学报(自然科学版),2008,No.111(03):286-292.

胡卫敏, 梅雪晖. 奇异二阶微分系统离散边值问题[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2008, 111(3): 286-292.
[1]胡卫敏,梅雪晖.奇异二阶微分系统离散边值问题[J].新疆大学学报(自然科学版),2008,No.111(03):286-292. DOI：

胡卫敏, 梅雪晖. 奇异二阶微分系统离散边值问题[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2008, 111(3): 286-292. DOI：

摘要

利用锥不动点定理给出了奇异离散边值问题{Δ2x(i-1)+q1(i)f1(i

x(i)

y(i))=0

i∈{1

…

T}Δ2y(i-1)+q2(i)f2(i

x(i)

y(i))=0

x(0)=x(T+1)=y(0)=y(T+1)=0

的正解的存在性

其中非线性项fk(i

y)在(x

y)=(0

0)点奇异

k=1

Abstract

In this paper we investigates the existence of positive solutions to the singular discrete boundary value problem{Δ2x(i-1)+q1(i) f1(i

x(i)

y(i))=0

i∈{1

...

Δ2y(i-1)+q2(i) f2(i

x(i)

y(i))=0

x(0)=x(T+1)=y(0)=y(T+1)=0

by using cone fixed point theorem

where nonlinear term fk(i

y) is singular at (x

y)=(0

k=1

关键词

Keywords

references

Agarwal R P,O'Regan D.Nonlinear superlinear singular and nonsingular second order boundary value problems[J].Appl Math Letters,1999,12:127-131.

Agarwal R P,O'Regan D.Twin solutions to singular Dirichlet problems[J].J Math Anal Appl,1999,240:433-445.

Agarwal R P,O'Regan D.Existence theorem for Nonlinear Ordinary Differential Equations[M].Dordrecht:Kluwer,1997,36-38.

Jiang DaQing.Multiple positive solutions to singular boundary value problems for superlinear higher-order ODEs[J].Computers and Mathematics with Applications,2000,40:249-259.

Agarwal R P,O'Regan D.Nonpositive discrete boundary value problems[J].Nonlinear Analysis,2000,39:207-215.

Jiang DaQing,Zhang LiLi,O'Regan D,Agarwal R P.Existence the ory for single and multiple solutions to singular positone discrete Dirichlet boundary value problems to the one-dimension p-Laplacian[J].Archivum Mathematicum Tomus,2001,40:367-381.

Xu Xiaojie,Jiang Daqing.Twin positive solutions to singular boundary value problems of second order differential systems[J].J Pure Appl Math,2003,34:85-99.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

一类非线性二阶三点边值问题的正解(英文)

一类具有两个固定端点的非线性弹性梁方程的可解性(英文)

多奇点Liènard系统解的有界性及极限环的存在性

具有自然年龄和染病年龄的MSIR传染病模型的稳定性

Related Author

姚庆六

郭治中

曹志远

郭俐辉

Related Institution

南京财经大学应用数学系

新疆大学数学系,

⁰