Periodic solutions of a non-linear wave equation with homogeneous boundary conditions

被引：3

作者：

Rudakov, IA ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

IZVESTIYA MATHEMATICS | 2006年 / 70卷 / 01期

关键词：

D O I：

10.1070/IM2006v170n01ABEH002305

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence of time-periodic solutions of a non-linear wave equation with homogeneous boundary conditions. The non-linear term either has polynomial growth or satisfies a "non- resonance" condition.

引用

页码：109 / 120

页数：12

共 50 条

[1] Periodic Solutions to the Wave Equation with Homogeneous Boundary Conditions
Rudakov I.A.
[J]. Journal of Mathematical Sciences, 2016, 219 (2) : 253 - 266
[2] Periodic solutions of a quasilinear wave equation with homogeneous boundary conditions
Rudakov I.A.
[J]. Journal of Mathematical Sciences, 2008, 150 (6) : 2588 - 2597
[3] PERIODIC-SOLUTIONS OF A NON-LINEAR WAVE-EQUATION
BAHRI, A
BREZIS, H
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1980, 85 : 313 - 320
[4] Periodic solutions of the wave equation with nonconstant coefficients and with homogeneous Dirichlet and Neumann boundary conditions
I. A. Rudakov
[J]. Differential Equations, 2016, 52 : 248 - 257
[5] Periodic solutions of the wave equation with nonconstant coefficients and with homogeneous Dirichlet and Neumann boundary conditions
Rudakov, I. A.
[J]. DIFFERENTIAL EQUATIONS, 2016, 52 (02) : 248 - 257
[6] Homogenization of an Elliptic Equation in a Domain with Oscillating Boundary with Non-homogeneous Non-linear Boundary Conditions
Mahadevan, Rajesh
Nandakumaran, A. K.
Prakash, Ravi
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2020, 82 (01): : 245 - 278
[7] Homogenization of an Elliptic Equation in a Domain with Oscillating Boundary with Non-homogeneous Non-linear Boundary Conditions
Rajesh Mahadevan
A. K. Nandakumaran
Ravi Prakash
[J]. Applied Mathematics & Optimization, 2020, 82 : 245 - 278
[8] NUMERICAL COMPUTATION OF PERIODIC-SOLUTIONS OF A NON-LINEAR WAVE-EQUATION
MEIS, T
BAASKE, W
[J]. LECTURE NOTES IN MATHEMATICS, 1982, 953 : 159 - 171
[9] Non-trivial periodic solutions of a non-linear Hill's equation with positively homogeneous term
Torres, PJ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (04) : 841 - 844
[10] PERIODIC-SOLUTIONS OF A NON-LINEAR BEAM EQUATION
DING, W
HONG, CW
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (10) : 1141 - 1147

← 1 2 3 4 5 →