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.

[1]	王继楠, 孙大为. 具有一般奇异项基尔霍夫型方程解的存在性 [J]. 数学季刊, 2024, 39(3): 315-323.
[2]	宋雪, 杨赟瑞, 杨璐. 一个三阶 m 点边值问题的三个正解 [J]. 数学季刊, 2021, 36(4): 369-375.
[3]	李振辉, 许丽萍. 一类具有耦合项的 Kirchhoff 型双调和方程组正解的存在性和多解性[J]. 数学季刊, 2021, 36(1): 49-66.
[4]	王万鹏. 四阶p-Laplacian边值问题正解的存在性[J]. 数学季刊, 2018, 33(4): 377-385.
[5]	陆海霞. 四阶弹性梁方程特征值问题正解的存在性[J]. 数学季刊, 2017, 32(1): 7-15.
[6]	谭惠轩, 封汉颍, 冯杏芳, 杜亚涛. 带p-Laplacian算子的三阶三点边值问题的三个正解[J]. 数学季刊, 2015, 30(1): 55-65.
[7]	张豫川, 周宗福. 带有p-Laplacian算子的四阶时滞微分方程边值问题的正解[J]. 数学季刊, 2014, 29(2): 171-179.
[8]	李耀红. 无穷区间上具积分边值条件的二阶非线性奇异微分方程组正解存在性[J]. 数学季刊, 2014, 29(1): 55-64.
[9]	张豫川, 周宗福, 徐鑫. 一类三阶非线性微分方程耦合系统边值问题的正解[J]. 数学季刊, 2013, 28(4): 522-531.
[10]	贺福利. 解析函数的复合边值问题[J]. 数学季刊, 2013, 28(1): 1-10.
[11]	韩仁基, 葛建生, 蒋威. 高阶非线性分数阶微分方程三点边值问题正解的存在性[J]. 数学季刊, 2012, 27(4): 516-525.
[12]	宋常修. 一阶时标动态方程周期边值问题的正解[J]. 数学季刊, 2012, 27(3): 337-343.
[13]	宋利梅, 翁佩查. 非线性分数微分方程边值问题正解的存在性[J]. 数学季刊, 2012, 27(2): 293-300.
[14]	孙艳梅. 半无穷区间上二阶三点边值问题的多个正解的存在性[J]. 数学季刊, 2012, 27(1): 24-28.
[15]	唐林山, 江成顺. 一类高阶非线性微分方程解的存在问题[J]. 数学季刊, 2012, 27(1): 1-10.