LYAPUNOV EXPONENTIALLY STABILITY FOR SOME MODELS NONLINEAR PDEs
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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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