ASYMPTOTIC BEHAVIOR FOR NONDISSIPATIVE QUASILINEAR PARABOLIC SYSTEM WITH VISCOELASTIC AND TIME-VARYING DELAY TERM
MOHAMED FERHAT
Laboratory ACEDP, Djillali Liabes University, 22000 Sidi Bel Abbes, Algeria.
ALI HAKEM *
Laboratory ACEDP, Djillali Liabes University, 22000 Sidi Bel Abbes, Algeria.
*Author to whom correspondence should be addressed.
Abstract
The main goal of this paper is to study the stabilization of the non-dissipative quasilinear parabolic system with viscoelastic and delay terms. Under suitable assumptions, we prove the energy decay result adapting the lemma of Martinez.
Keywords: Energy decay, Nondisipative term, Delay term
How to Cite
FERHAT, MOHAMED, and ALI HAKEM. 2017. “ASYMPTOTIC BEHAVIOR FOR NONDISSIPATIVE QUASILINEAR PARABOLIC SYSTEM WITH VISCOELASTIC AND TIME-VARYING DELAY TERM”. Asian Journal of Mathematics and Computer Research 17 (3):162-71. https://ikprress.org/index.php/AJOMCOR/article/view/949.
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