EXISTENCE AND STABILITY OF A DAMPED WAVE EQUATION WITH TWO DELAYED TERMS IN BOUNDARY

Authors

  • S. Zitouni Department of Mathematics and Informatics, University of Souk-Ahras, Souk-Ahras
  • A. Ardjouni Department of Mathematics and Informatics, University of Souk-Ahras, Souk-Ahras
  • K. Zennir Department of Mathematics, University of Skikda
  • R. Amiar Department of Mathematics, Faculty of Sciences, University of Annaba, Annaba

Keywords:

Damped wave equation, delay feedback, stabilization, semigroup formulation

Abstract

This paper considers a linear damped wave equation with dynamic boundary conditions where two feedback terms have a delay. In bounded domain, we first establish the question of well-posedness and uniqueness of the solution for the initial-boundary value problem, using semigroup arguments in <cite>kato:67,kato:76,pazy</cite>. Next, by introducing suitable Lyapunov functionals, exponential stability estimates are obtained under conditions on the delay terms.

Additional Files

Published

03/31/2018

How to Cite

Zitouni, S., Ardjouni, A., Zennir, K., & Amiar, R. (2018). EXISTENCE AND STABILITY OF A DAMPED WAVE EQUATION WITH TWO DELAYED TERMS IN BOUNDARY. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 9(1), 49–65. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2870

Issue

Vol. 9 No. 1 (2018): JNAO

Section

Research Articles

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.