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September  2003, 9(5): 1263-1275. doi: 10.3934/dcds.2003.9.1263

## Generalized quasilinearization method for semilinear hyperbolic problems

 1 Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, United States, United States 2 Department of Mathematics, Florida Institute of Technology, Melbourne, FL 32901, United States

Received  November 2001 Revised  November 2002 Published  June 2003

We consider semilinear hyperbolic problem associated with a second order partial differential operator in its divergence form. We prove a comparison theorem for the weak lower and upper solutions of the problem and then apply the method of generalized quasilinearization.
Citation: T. Gnana Bhaskar, S. Köksal, V. Lakshmikantham. Generalized quasilinearization method for semilinear hyperbolic problems. Discrete & Continuous Dynamical Systems, 2003, 9 (5) : 1263-1275. doi: 10.3934/dcds.2003.9.1263
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