LYAPUNOV EXPONENTIALLY STABILITY FOR SOME MODELS NONLINEAR PDEs

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Raed A. Hameed,Wafaa M. Taha, Sabaa Mazin Modhher, A R Seadawy

Abstract

The aim of this paper is to analyzing exponential stability of non-linear partial differential
equation using Lyapunov second method. We consider different models from heat and wave
non-linear equations in addition to 2×2 hyperbolic system with balance laws. We show the
effectiveness of the proposed methodology using some examples of different types of
nonlinear PDEs.

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