具p-Laplacian算子型泛函差分方程的正解

数学季刊 ›› 2007, Vol. 22 ›› Issue (4): 475-481.

• • 下一篇

具p-Laplacian算子型泛函差分方程的正解

School of Mathematical Sciences, South China Normal University, Guangzhou 510631,China; School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China)

收稿日期:2005-12-28 出版日期:2007-12-30 发布日期:2023-10-18
作者简介:SONG Chang-xiu(1975-), male, native of Laiyang, Shandong, an associate professor of Guang- dong University of Technology, Ph.D., engages in functional differential equations.
基金资助:
Supported by the NNSF of China(10571064); Supported by the NSF of Guangdong Province(011471)

Positive Solutions of p-Laplacian Functional Difference Equations

In this paper, the author studies the boundary value problems for a p-Laplacian functional diference equation. By using a fixed point theorem in cones, sufficient conditions are established for the existence of the positive solutions.

Received:2005-12-28 Online:2007-12-30 Published:2023-10-18
About author:SONG Chang-xiu(1975-), male, native of Laiyang, Shandong, an associate professor of Guang- dong University of Technology, Ph.D., engages in functional differential equations.
Supported by:
Supported by the NNSF of China(10571064); Supported by the NSF of Guangdong Province(011471)

摘要/Abstract

摘要： In this paper, the author studies the boundary value problems for a p-Laplacian functional diference equation. By using a fixed point theorem in cones, sufficient conditions are established for the existence of the positive solutions.

关键词: p-Laplacian operator, functional difference equations, positive solution, cone

Abstract: p-Laplacian operator; functional difference equations; positive solution; cone

Key words: p-Laplacian operator, functional difference equations, positive solution, cone

中图分类号:

O175.1

宋常修. 具p-Laplacian算子型泛函差分方程的正解[J]. 数学季刊, 2007, 22(4): 475-481.

SONG Chang-ziu . Positive Solutions of p-Laplacian Functional Difference Equations[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(4): 475-481.

[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]	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.
[11]	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.
[12]	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.
[13]	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.
[14]	杨甲山, 孙文兵. 具有可变时滞的二阶非线性差分方程的有界振动性[J]. 数学季刊, 2011, 26(4): 516-520.
[15]	杨景保, 韦忠礼. Banach空间中广义的Sturm-Liouville m点边界值问题的正解[J]. 数学季刊, 2011, 26(2): 265-269.

具p-Laplacian算子型泛函差分方程的正解

Positive Solutions of p-Laplacian Functional Difference Equations

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价