一类p-Laplacian算子多点边值问题在共振条件下解的存在性

数学季刊 ›› 2010, Vol. 25 ›› Issue (3): 379-384.

一类p-Laplacian算子多点边值问题在共振条件下解的存在性

1. Department of Basic Courses, Tianjin Institute of Urban Construction2. Department of Applied Mathematics, Beijing Institute of Technology

收稿日期:2007-09-15 出版日期:2010-09-30 发布日期:2023-05-25
作者简介: LI Li-fang(1979- ), female, native of Tianjin, an assistant of Tianjin Institute of Urban Construction, M.S.D., engages in differential equation.
基金资助:

Existence of Solutions to Multi-point BVP with p-Laplacian at Resonance

1. Department of Basic Courses, Tianjin Institute of Urban Construction2. Department of Applied Mathematics, Beijing Institute of Technology

Received:2007-09-15 Online:2010-09-30 Published:2023-05-25
About author: LI Li-fang(1979- ), female, native of Tianjin, an assistant of Tianjin Institute of Urban Construction, M.S.D., engages in differential equation.

摘要/Abstract

摘要： This paper is concerned with the existence of solutions for the following multipoint boundary value problem at resonance {(Φp (x’))’ + f(t,x)=0,0 < t < 1,...,0 < ξ < 1. An existence theorem is obtained by using the extension of Mawhin’s continuation theorem. Since almost all the multi-point boundary value problem at resonance in previous papers are for the linear operator without p-Laplacian by the use of Mawhin’s continuation theorem, our method is new.

关键词: multi-point boundary value problem, the extension of Mawhin’s continuation

Abstract: This paper is concerned with the existence of solutions for the following multipoint boundary value problem at resonance {(Φp (x’))’ + f(t,x)=0,0 < t < 1,...,0 < ξ < 1. An existence theorem is obtained by using the extension of Mawhin’s continuation theorem. Since almost all the multi-point boundary value problem at resonance in previous papers are for the linear operator without p-Laplacian by the use of Mawhin’s continuation theorem, our method is new.

Key words: multi-point boundary value problem, the extension of Mawhin’s continuation

中图分类号:

O175.8

李丽芳, 葛渭高. 一类p-Laplacian算子多点边值问题在共振条件下解的存在性[J]. 数学季刊, 2010, 25(3): 379-384.

LI Li-fang, GE Wei-gao. Existence of Solutions to Multi-point BVP with p-Laplacian at Resonance[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(3): 379-384.

[1]	李克典. 锥度量空间的完备性[J]. 数学季刊, 2013, 28(4): 565-572.
[2]	李伟平, 戈文旭, 王天泽. 混合幂次为2和4的整数变量非线性型的整数部分[J]. 数学季刊, 2013, 28(3): 317-322.
[3]	商宇, 汪立民. 关于4-循环半群的一些子半群-Ⅱ[J]. 数学季刊, 2013, 28(3): 390-396.
[4]	杨纪华, 刘媚. 具时滞人机系统的稳定性与分支分析[J]. 数学季刊, 2012, 27(2): 196-203.
[5]	叶绪国, 杜雪樵. 对于金融资产漂移函数估计的双域组合方法[J]. 数学季刊, 2011, 26(2): 190-195.
[6]	李守伟, 祝东进. 随机环境中马氏链的首达分布矩[J]. 数学季刊, 2011, 26(1): 51-55.
[7]	刘玉记 . 具有p-Laplacian算子的二阶微分方程Picard边值问题[J]. 数学季刊, 2011, 26(1): 77-84.
[8]	王勇, 张良云, 蔡之敏 . 模余代数的结构定理[J]. 数学季刊, 2011, 26(1): 85-92.
[9]	彭婷婷, 郭小江. 因子拟适当半群[J]. 数学季刊, 2011, 26(1): 93-99.
[10]	吴明忠. 以幂零李代数Rn为幂零根基的可解李代数[J]. 数学季刊, 2011, 26(1): 100-107.
[11]	谭成良, 吴群英, 何燕梅. ρ^-_-混合序列部分和最大值的一些不等式和强大数律的收敛速度[J]. 数学季刊, 2011, 26(1): 114-119.
[12]	王金凤, 刘洋, 李宏. 粘弹性波动方程的H¹-Galerkin混合有限元方法误差估计[J]. 数学季刊, 2011, 26(1): 131-137.
[13]	梁菊花, 任立顺, 赵志良. 一类带有三维核的多点边值问题解的存在性[J]. 数学季刊, 2011, 26(1): 138-143.
[14]	周宏宪, 张燕. 一类Z₂-等变扰动的三次哈密顿系统极限环的个数与分布[J]. 数学季刊, 2011, 26(1): 144-151.
[15]	汪忠志 . 关于任意随机序列的一个强大数定理[J]. 数学季刊, 2010, 25(4): 475-480.