Uniform attractors of nonautonomous dynamical systems with memory. (English) Zbl 1039.34074
Lorenzi, Alfredo (ed.) et al., Evolution equations, semigroups and functional analysis. In memory of Brunello Terreni. Containing papers of the conference, Milano, Italy, September 27-28, 2000. Basel: Birkhäuser (ISBN 3-7643-6791-1/hbk). Prog. Nonlinear Differ. Equ. Appl. 50, 155-178 (2002).
This paper is concerned with dissipative evolutionary processes generated by nonautonomous evolution equations with memory. The asymptotic behavior of a class of such processes is studied. Examples in viscoelasticity and heat conduction with memory are given to illustrate the applications of the obtained results.
For the entire collection see [Zbl 1004.00018].
For the entire collection see [Zbl 1004.00018].
Reviewer: Nguyen Van Minh (Harrisonburg)
MSC:
| 34K99 | Functional-differential equations (including equations with delayed, advanced or state-dependent argument) |
| 37L30 | Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems |
