Existence and stability for a lame system with time delay and infinite memory

Authors

  • K. Zennir
  • A. Beniani
  • S. Boulaaras

Keywords:

Lame system, Delay term, Lyapunov functions, Decay rates.

Abstract

We pursue the investigation started in a recent paper [10] and later [2] concerning the wave equations with elasticity operator. We prove the existence of solutions for Lame system in three-dimension bounded domain with time delay term by using semi-group theory. We also study the exponential stability of solutions by means of an appropriate Lyapunov functional.

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Published

2018-09-24

How to Cite

Zennir, K., Beniani, A., & Boulaaras, S. (2018). Existence and stability for a lame system with time delay and infinite memory. International Journal of Maps in Mathematics, 1(2), 175–187. Retrieved from http://journalmim.com/index.php/journalMIM/article/view/24