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

  • K. Zennir
  • A. Beniani
  • S. Boulaaras
Keywords: Lame system, Delay term, Lyapunov functions, Decay rates.


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.