Opuscula Mathematica
Opuscula Math. 34, no. 2 (2014), 363-373

Uniqueness and parameter dependence of positive doubly periodic solutions of nonlinear telegraph equations

John R. Graef
Lingju Kong
Min Wang
Abstract. The authors study a type of second order nonlinear telegraph equation. The existence and uniqueness of positive doubly periodic solutions are discussed. The parametric dependence of the solutions is also investigated. Two examples are given as applications of the results.
Keywords: telegraph equation, doubly periodic solution, Green's function.
Mathematics Subject Classification: 35B10, 35L70.
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About the authors ▼
John R. Graef
University of Tennessee at Chattanooga, Department of Mathematics, Chattanooga, TN 37403, USA
Lingju Kong
University of Tennessee at Chattanooga, Department of Mathematics, Chattanooga, TN 37403, USA
Min Wang
University of Tennessee at Chattanooga, Department of Mathematics, Chattanooga, TN 37403, USA
About the article ▼
Received: 2013-09-03.
Revised: 2013-11-12.
Accepted: 2013-11-12.
Cite this article as ▼
John R. Graef, Lingju Kong, Min Wang, Uniqueness and parameter dependence of positive doubly periodic solutions of nonlinear telegraph equations, Opuscula Math. 34, no. 2 (2014), 363-373, http://dx.doi.org/10.7494/OpMath.2014.34.2.363.
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