Asymptotic Stability for the Second Order Evolution Equation with Memory View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-04

AUTHORS

Muhammad I. Mustafa

ABSTRACT

In this paper, we consider an abstract viscoelastic equation. We use memory-type damping with a general assumption on the relaxation function and establish explicit energy decay result from which we can recover the optimal exponential and polynomial rates. Our result generalizes the earlier related results in the literature.

PAGES

263-273

References to SciGraph publications

  • 2011-12. Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux in BOUNDARY VALUE PROBLEMS
  • 1996-04. Decay rates of solutions of an anisotropic inhomogeneousn-dimensional viscoelastic equation with polynomially decaying kernels in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2007-12. Decay rates of Volterra equations on ℝN in CENTRAL EUROPEAN JOURNAL OF MATHEMATICS
  • 2016-01. Uniform Decay Rates for Viscoelastic Dissipative Systems in JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
  • 1970-01. Asymptotic stability in viscoelasticity in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10883-018-9410-2

    DOI

    http://dx.doi.org/10.1007/s10883-018-9410-2

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1104905294


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