LYAPUNOV EXPONENTIALLY STABILITY FOR SOME MODELS NONLINEAR PDEs

Authors

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

DOI:

https://doi.org/10.17762/turcomat.v12i14.10862

Keywords:

Lyapunov function, L2-norm, exponential stability

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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Published

2021-09-07

How to Cite

Raed A. Hameed,Wafaa M. Taha, Sabaa Mazin Modhher, A R Seadawy. (2021). LYAPUNOV EXPONENTIALLY STABILITY FOR SOME MODELS NONLINEAR PDEs. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 12(14), 3093–3101. https://doi.org/10.17762/turcomat.v12i14.10862

Issue

Section

Research Articles

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