一类具偏差变元的三阶p-Laplacian方程周期解的存在性

J4 ›› 2012, Vol. 50 ›› Issue (01): 27-34.

一类具偏差变元的三阶p-Laplacian方程周期解的存在性

沈钦锐, 周宗福

安徽大学数学科学学院, 合肥 230039

收稿日期:2011-04-15 出版日期:2012-01-26 发布日期:2012-03-06
通讯作者: 沈钦锐 E-mail:qinrui327@163.com

Existence of Perodic Solution for a Class of ThirdOrderp-Laplacian Equation with a Deviating Argument

SHEN Qinrui, ZHOU Zongfu

School of Mathematics Science, University of Anhui, Hefei 230039| China

Received:2011-04-15 Online:2012-01-26 Published:2012-03-06
Contact: SHEN Qinrui E-mail:qinrui327@163.com

摘要/Abstract

摘要：

采用重合度理论中的延拓定理, 研究一类三阶p-Laplacian中立型方程：(φ_p((x(t)-cx(t-σ))″))′+f₁(x(t))x′(t)+f₂(x′(t))x″(t)+ρ(t)g(x(t-τ(t)))=e(t)T-周期解的存在性, 得到了该方程存在T-周期解的相关结果.

关键词: 周期解；偏差变元；重合度； p-Laplacian方程

Abstract:

Continuation theorem in coincidence degree theory, a type of third order p-Laplacian equation with a deviating argument
(φ_p((x(t)-cx(t-σ))″))′+f₁(x(t))x′(t)+f₂(x′(t))x″(t)+ρ(t)g(x(t-τ(t)))=e(t) was considered with the sufficient condition for the existance of Tperiodic solution obtained.

Key words: periodic solution, deviating argument, coincidence degree, p-Laplacian equation

中图分类号:

O175.6

沈钦锐, 周宗福. 一类具偏差变元的三阶p-Laplacian方程周期解的存在性[J]. J4, 2012, 50(01): 27-34.

SHEN Qinrui, ZHOU Zongfu. Existence of Perodic Solution for a Class of ThirdOrderp-Laplacian Equation with a Deviating Argument[J]. J4, 2012, 50(01): 27-34.

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