Dafermos, C.M. (1970) An Abstract Volterra Equation with Applications to Linear Viscoelasticity. Journal of Differential Equations, 7, 554-569.

has been cited by the following article:

• TITLE: Decay Rate for a Viscoelastic Equation with Strong Damping and Acoustic Boundary Conditions

  AUTHORS: Zhiyong Ma

  KEYWORDS: Viscoelastic Equation, Decay Rate, Acoustic Boundary Condition

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.5 No.4, April 30, 2017

  ABSTRACT: This paper is concerned with a nonlinear viscoelastic equation with strong damping: . The objective of the present paper is to provide some results on the long-time behavior to this equation with acoustic boundary conditions. By using the assumptions on the relaxation function due to Tatar [1], we show an arbitrary rate of decay with not necessary of an exponential or polynomial one and without the assumption condition. The result extends and improves some results given in Cavalcanti [2].