一类时滞p-Laplacian中立型泛函微分方程周期解问题

数学季刊 ›› 2013, Vol. 28 ›› Issue (4): 585-591.

一类时滞p-Laplacian中立型泛函微分方程周期解问题

College of Mathematics and Computer Science, Anhui Normal University

收稿日期:2012-04-01 出版日期:2013-12-30 发布日期:2023-02-20
作者简介:CHEN Wen-bin(1986-), male, native of Anqing, Anhui, M.S.D., engages in diﬀerential equation.
基金资助:
Supported by the Key NSF of the Education Ministry of China(2007047); Supported by the Scientiﬁc Research Foundation of NUIST(09022)

Periodic Solutions for p-Laplacian Neutral Functional Diﬀerential Equation with a Deviating Argument

College of Mathematics and Computer Science, Anhui Normal University

Received:2012-04-01 Online:2013-12-30 Published:2023-02-20
About author:CHEN Wen-bin(1986-), male, native of Anqing, Anhui, M.S.D., engages in diﬀerential equation.
Supported by:
Supported by the Key NSF of the Education Ministry of China(2007047); Supported by the Scientiﬁc Research Foundation of NUIST(09022)

摘要/Abstract

摘要： In this paper, by using the continuation theorem of coincidence degree theory and some analysis methods, we study a kind of periodic solutions to p-Laplacian neutral functional differential equation with a deviating argument (φ_p(x(t)-cx(t-σ)) ′) ′ + f(t, x ′(t)) + g(t, x(t-τ(t))) = e(t), some new results on the existence of periodic solutions is obtained.

关键词: periodic solution, deviating argument, coincidence degree

Abstract: In this paper, by using the continuation theorem of coincidence degree theory and some analysis methods, we study a kind of periodic solutions to p-Laplacian neutral functional differential equation with a deviating argument (φp(x(t)-cx(t-σ)) ′) ′ + f(t, x ′(t)) + g(t, x(t-τ(t))) = e(t), some new results on the existence of periodic solutions is obtained.

Key words: periodic solution, deviating argument, coincidence degree

中图分类号:

O175.14

陈文斌, 高芳, 鲁世平. 一类时滞p-Laplacian中立型泛函微分方程周期解问题[J]. 数学季刊, 2013, 28(4): 585-591.

CHEN Wen- bin, GAO Fang, LU Shi-ping. Periodic Solutions for p-Laplacian Neutral Functional Diﬀerential Equation with a Deviating Argument[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(4): 585-591.

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