J. Liang et Th. Qin, ASYMPTOTIC-BEHAVIOR OF WEAK SOLUTIONS TO A BOUNDARY-VALUE PROBLEM FORDYNAMIC VISCOELASTIC EQUATIONS WITH MEMORY, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 125, 1995, pp. 153-164
The paper discusses the asymptotic behaviour of weak solutions u(t, x)
, as t -->,co, to the boundary value problem for one-dimensional visco
elastic equations with singular memory. The changes of phase are admit
ted for the problem. One of our results is that u(t)(t,.)--> 0 weakly
in L(2)(0, 1)as t --> infinity.