Periodic solutions for wave equations with variable coefficients with nonlinear localized damping

被引：2

作者：

Zhang, Zhifei ^{[1
,2
]}

机构：

[1] Huazhong Univ Sci & Technol, Dept Math & Stat, Wuhan 430074, Peoples R China

[2] Wuhan Univ, Dept Math & Stat, Wuhan 430072, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 363卷 / 02期

关键词：

Periodic solution; Wave equation with variable coefficients; Localized dissipation;

D O I：

10.1016/j.jmaa.2009.09.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the existence of periodic solutions to the wave equation with variable coefficients u(tt) - div(A(x)del u) + p(x, u(t)) = f (x, t) with Dirichlet boundary condition. Here rho(x, nu) is a function like rho(x, nu) = a(x)g(nu) with g'(nu) >= 0 where a(x) is nonnegative, being positive only in a neighborhood of a part of the domain. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：549 / 558

页数：10

共 50 条

[21] TIME PERIODIC SOLUTIONS OF NONLINEAR WAVE EQUATIONS
RABINOWITZ, PH
MANUSCRIPTA MATHEMATICA, 1971, 5 (02) : 165 - +
[22] CONTROLLABILITY AND PERIODIC SOLUTIONS OF NONLINEAR WAVE EQUATIONS
Ton, Bui An
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[23] Dynamics for wave equations connected in parallel with nonlinear localized damping
Gao, Yunlong
Sun, Chunyou
Zhang, Kaibin
ADVANCES IN NONLINEAR ANALYSIS, 2024, 13 (01)
[24] Nonlinear boundary stabilization of wave equations with variable coefficients
Feng, SJ
Feng, DX
CHINESE ANNALS OF MATHEMATICS SERIES B, 2003, 24 (02) : 239 - 248
[25] NONLINEAR BOUNDARY STABILIZATION OF WAVE EQUATIONS WITH VARIABLE COEFFICIENTS
FENG SHAOJI FENG DEXING Academy of Mathematics and Systems Science
Chinese Annals of Mathematics, 2003, (02) : 239 - 248
[26] DECAY ESTIMATES FOR NONLINEAR WAVE EQUATIONS WITH VARIABLE COEFFICIENTS
Roberts, Michael
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2019,
[27] THREE POSITIVE PERIODIC SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS
Liu, Yuji
Ge, Weiguo
Gui, Zhanji
ANALYSIS AND APPLICATIONS, 2005, 3 (02) : 145 - 155
[28] Existence of Positive Periodic Solutions for Nonlinear Neutral Dynamic Equations with Variable Coefficients on a Time Scale
Ardjouni, Abdelouaheb
Djoudi, Ahcene
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2018, 36 (02): : 185 - 198
[29] Periodic solutions of a nonlinear wave equation with nonconstant coefficients
Rudakov, IA
MATHEMATICAL NOTES, 2004, 76 (3-4) : 395 - 406
[30] Periodic Solutions of a Nonlinear Wave Equation with Nonconstant Coefficients
I. A. Rudakov
Mathematical Notes, 2004, 76 : 395 - 406

← 1 2 3 4 5 →