MULTIPLICITY RESULTS OF PERIODIC SOLUTIONS FOR A COUPLED SYSTEM OF WAVE EQUATIONS

被引：2

作者：

Deng, Jiayu

Ji, Shuguan ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2024年 / 23卷 / 02期

关键词：

Key words and phrases. multiplicity results; wave equation; variational method; periodic solutions; GROUND-STATE SOLUTIONS; EXISTENCE;

D O I：

10.3934/cpaa.2024006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of wave equations with linear couplings. Such model arises when two waves propagate simultaneously. Based on variational methods and Galerkin approximation argument, we obtain some multiplicity results of periodic solutions for the problem when the linear coupling coefficient epsilon is small enough and the nonlinearities satisfy superlinear growth.

引用

页码：195 / 211

页数：17

共 50 条

[31] Multiplicity of periodic solutions of duffing equations with jumping nonlinearities
Wang Z.-H.
Acta Mathematicae Applicatae Sinica, 2002, 18 (3) : 513 - 522
[32] Periodic solutions of telegraph-wave coupled system at nonresonance
An, YK
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 46 (04) : 525 - 533
[33] EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SYSTEM OF DIFFERENCE EQUATIONS WITH COUPLED BOUNDARY CONDITIONS
Henderson, Johnny
Luca, Rodica
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (01): : 134 - 146
[34] Existence and multiplicity results of positive doubly periodic solutions for nonlinear telegraph system
Wang, Fanglei
An, Yukun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 349 (01) : 30 - 42
[35] MULTIPLICITY AND REGULARITY OF LARGE PERIODIC SOLUTIONS WITH RATIONAL FREQUENCY FOR A CLASS OF SEMILINEAR MONOTONE WAVE EQUATIONS
Fokam, Jean-Marcel
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (10) : 4283 - 4297
[36] EXACT MULTIPLICITY RESULTS FOR 2 CLASSES OF PERIODIC EQUATIONS
KORMAN, P
OUYANG, T
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 194 (03) : 763 - 779
[37] Exact multiplicity results for two classes of periodic equations
J Math Anal Appl, 3 (763):
[38] On the multiplicity of solutions of a system of algebraic equations
Pukhlikov, A. V.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2012, 276 (01) : 234 - 249
[39] On the multiplicity of solutions of a system of algebraic equations
A. V. Pukhlikov
Proceedings of the Steklov Institute of Mathematics, 2012, 276 : 234 - 249
[40] Periodic wave solutions of coupled integrable dispersionless equations by residue harmonic balance
Leung, A. Y. T.
Yang, H. X.
Guo, Z. J.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (11) : 4508 - 4514

← 1 2 3 4 5 →