Opuscula Math. 34, no. 2 (2014), 363-373
http://dx.doi.org/10.7494/OpMath.2014.34.2.363
Opuscula Mathematica
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.
- 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
- Received: 2013-09-03.
- Revised: 2013-11-12.
- Accepted: 2013-11-12.
