Periodic solutions for a resonant system of coupled telegraph-wave equations

Ravi P. Agarwal; Jinhai Chen; Donal O'Regan

Periodic solutions for a resonant system of coupled telegraph-wave equations

Ravi P. Agarwal
, Jinhai Chen
, Donal O'Regan

Mathematics

Department of Mathematical Sciences
Hong Kong Polytechnic University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper the unique solvability of the periodic-Dirichlet problem for nonlinear telegraph-wave equations with resonance is studied. Our methods involve the use of the global inverse function theorem and a Galerkin method.

Original language	English
Pages (from-to)	891-902
Number of pages	12
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume	15
Issue number	6
Publication status	Published - Dec 2008

Keywords

Existence uniqueness.
Generalized solution
Periodic-Dirichlet problem
Telegraph-wave equation

Cite this

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title = "Periodic solutions for a resonant system of coupled telegraph-wave equations",

abstract = "In this paper the unique solvability of the periodic-Dirichlet problem for nonlinear telegraph-wave equations with resonance is studied. Our methods involve the use of the global inverse function theorem and a Galerkin method.",

keywords = "Existence uniqueness., Generalized solution, Periodic-Dirichlet problem, Telegraph-wave equation",

author = "Agarwal, \{Ravi P.\} and Jinhai Chen and Donal O'Regan",

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journal = "Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms",

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T1 - Periodic solutions for a resonant system of coupled telegraph-wave equations

AU - Agarwal, Ravi P.

AU - Chen, Jinhai

AU - O'Regan, Donal

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Y1 - 2008/12

N2 - In this paper the unique solvability of the periodic-Dirichlet problem for nonlinear telegraph-wave equations with resonance is studied. Our methods involve the use of the global inverse function theorem and a Galerkin method.

AB - In this paper the unique solvability of the periodic-Dirichlet problem for nonlinear telegraph-wave equations with resonance is studied. Our methods involve the use of the global inverse function theorem and a Galerkin method.

KW - Existence uniqueness.

KW - Generalized solution

KW - Periodic-Dirichlet problem

KW - Telegraph-wave equation

UR - https://www.scopus.com/pages/publications/57249108375

M3 - Article

AN - SCOPUS:57249108375

SN - 1492-8760

VL - 15

SP - 891

EP - 902

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

IS - 6

ER -

Periodic solutions for a resonant system of coupled telegraph-wave equations

Abstract

Keywords

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