具P-Laplacian算子的二阶微分系统奇异边值问题正解的存在性

数学季刊 ›› 2013, Vol. 28 ›› Issue (3): 345-354.

具P-Laplacian算子的二阶微分系统奇异边值问题正解的存在性

1. School of Mathematics and Statistics, Yili Normal University 2. School of Mathematics and Statistics, Northeast Normal University

收稿日期:2011-12-12 出版日期:2013-09-30 发布日期:2023-02-22
作者简介:ZHAO Xia(1980-), female, native of Chengdou, Sichuan, a lecturer of Yili Normal University, M.S.D., engages in BVP of ordinary diﬀerential equation; HU Wei-min(corresponding author)(1968-), male, native of Wuxi, Jiangsu, a professor of Yili Normal University, engage in a professor of Yili Normal University, M.S.D., engages in BVP of ordinary diﬀerential equation and fractional diﬀerential equation.
基金资助:
Supported by the XJZDXK of China(XJZDXK2011004); Supported by the NSFC of China(10971021)

Existence Theory for Single and Multiple Positive Solutions to Singular Boundary Value Problems for Second-order Diﬀerential Systems P-Laplacian

1. School of Mathematics and Statistics, Yili Normal University 2. School of Mathematics and Statistics, Northeast Normal University

Received:2011-12-12 Online:2013-09-30 Published:2023-02-22
About author:ZHAO Xia(1980-), female, native of Chengdou, Sichuan, a lecturer of Yili Normal University, M.S.D., engages in BVP of ordinary diﬀerential equation; HU Wei-min(corresponding author)(1968-), male, native of Wuxi, Jiangsu, a professor of Yili Normal University, engage in a professor of Yili Normal University, M.S.D., engages in BVP of ordinary diﬀerential equation and fractional diﬀerential equation.
Supported by:
Supported by the XJZDXK of China(XJZDXK2011004); Supported by the NSFC of China(10971021)

摘要/Abstract

摘要： In this paper we present some new existence results for singular boundary value problems by Arzela-Ascoli theorem.In particular our nonlinearity may be singular in its dependent variable.

关键词: singular, existence, boundary value problem, fixed point theorem in cones, Arzela-Ascoli theorem

Abstract: In this paper we present some new existence results for singular boundary value problems by Arzela-Ascoli theorem.In particular our nonlinearity may be singular in its dependent variable.

Key words: singular, existence, boundary value problem, fixed point theorem in cones, Arzela-Ascoli theorem

中图分类号:

O175.8

赵霞, 胡卫敏, 蒋达清. 具P-Laplacian算子的二阶微分系统奇异边值问题正解的存在性[J]. 数学季刊, 2013, 28(3): 345-354.

ZHAO Xia, HU Wei-min, JIANG Da- qing. Existence Theory for Single and Multiple Positive Solutions to Singular Boundary Value Problems for Second-order Diﬀerential Systems P-Laplacian[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(3): 345-354.

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