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INTRINSIC DECAY RATES FOR THE ENERGY OF A SINGULAR NONLOCAL VISCOELASTIC SYSTEM
  • DRAIFIA ALA
DRAIFIA ALA
Universite de Tebessa
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Abstract

This work deals with intrinsic decay rates for the energy of an initial boundary value problem with a nonlocal boundary condition for a system of nonlinear singular viscoelastic equations. We prove the intrinsic decay rates for the energy of a singular one-dimensional viscoelastic system with a nonlinear source term and nonlocal boundary condition of relaxation kernels described by the inequality g_{i}′(t)≤-H(g_{i}(t)), (i=1,2) for all t≥0, with H convex.

Peer review status:ACCEPTED

10 Apr 2020Submitted to Mathematical Methods in the Applied Sciences
12 Apr 2020Submission Checks Completed
12 Apr 2020Assigned to Editor
12 Apr 2020Reviewer(s) Assigned
24 May 2020Review(s) Completed, Editorial Evaluation Pending
25 May 2020Editorial Decision: Revise Major
28 May 20201st Revision Received
28 May 2020Submission Checks Completed
28 May 2020Assigned to Editor
30 May 2020Reviewer(s) Assigned
27 Jun 2020Review(s) Completed, Editorial Evaluation Pending
29 Jun 2020Editorial Decision: Revise Minor
01 Jul 20202nd Revision Received
01 Jul 2020Submission Checks Completed
01 Jul 2020Assigned to Editor
01 Jul 2020Editorial Decision: Accept