二阶非线性微分方程组边值问题的正解

数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 179-184.

二阶非线性微分方程组边值问题的正解

1. Department of Mathematics, Anhui Normal University2. The High School Affiliated to Anhui Normal University

收稿日期:2007-11-22 出版日期:2011-06-30 发布日期:2023-04-26
作者简介:ZHENG Dong-mei(1983-), female, native of Suzhou, Anhui, engages in diﬀerential equations; LU Shi-ping(1962-), male, native of Chaohu, Anhui, a professor of Anhui Normal University, engages in diﬀerential equations.
基金资助:
Supported by the NSF of Anhui Provence(2005kj031ZD,050460103)； Supported by the Teaching and Research Award Program for Excellent Teachers in Higher Education Institutions of Anhui Provence and the Key NSF of Education Ministry of China(207047)；

Positive Solutions of Boundary Value Problems for Systems of Nonlinear Second-order Diﬀerential Equations

1. Department of Mathematics, Anhui Normal University2. The High School Affiliated to Anhui Normal University

Received:2007-11-22 Online:2011-06-30 Published:2023-04-26
About author:ZHENG Dong-mei(1983-), female, native of Suzhou, Anhui, engages in diﬀerential equations; LU Shi-ping(1962-), male, native of Chaohu, Anhui, a professor of Anhui Normal University, engages in diﬀerential equations.
Supported by:
Supported by the NSF of Anhui Provence(2005kj031ZD,050460103)； Supported by the Teaching and Research Award Program for Excellent Teachers in Higher Education Institutions of Anhui Provence and the Key NSF of Education Ministry of China(207047)；

摘要/Abstract

摘要： By using fixed-point index theory, we study boundary value problems for systems of nonlinear second-order differential equation, and a result on existence and multiplicity of positive solutions is obtained.

关键词: boundary value problems, ?xed-point index, positive solution, cone

Abstract: By using fixed-point index theory, we study boundary value problems for systems of nonlinear second-order differential equation, and a result on existence and multiplicity of positive solutions is obtained.

Key words: boundary value problems, ?xed-point index, positive solution, cone

中图分类号:

O175.8

郑冬梅, 鲁世平. 二阶非线性微分方程组边值问题的正解[J]. 数学季刊, 2011, 26(2): 179-184.

ZHENG Dong-mei, LU Shi-ping. Positive Solutions of Boundary Value Problems for Systems of Nonlinear Second-order Diﬀerential Equations [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 179-184.

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