Asymptotic Stability for a Viscoelastic Equation with Nonlinear Damping and Very General Type of Relaxation Functions View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-01-18

AUTHORS

Farida Belhannache, Mohammad M. Algharabli, Salim A. Messaoudi

ABSTRACT

In this paper, we consider a viscoelastic equation with a nonlinear frictional damping and a relaxation function satisfying g′(t) ≤ −ξ(t)G(g(t)). Using the Galaerkin method, we establish the existence of the solution and prove an explicit and general decay rate results, using the multiplier method and some properties of the convex functions. This work generalizes and improves earlier results in the literature. In particular, those of Messaoudi (2016) and Mustafa (Math Methods Appl Sci. 2017;V41:192–204). More... »

PAGES

1-23

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Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10883-019-9429-z

DOI

http://dx.doi.org/10.1007/s10883-019-9429-z

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https://app.dimensions.ai/details/publication/pub.1111495324


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