Volterra Integrodifferential Equations in Banach Spaces and Applications: (190 Pitman Research Notes in Mathematics Series)

This volume contains research papers presented at the conference entitled "Volterra Integrodifferential Equations in Banach Spaces and Applications" sponsored by the Consiglio Nazionale delle Ricerche and Istituto Trentino di Cultura, held in Trento, Italy in February 1987. Contributions from many specialists in integrodifferential and abstract equations constituted an overview of the field. Many of these papers are devoted to questions such as existence regularity and wellposedeness, others are more concerned with applications problems and constitutive equations. Most of the interest at the conference was concentrated on Volterra equations and applications to viscoelasticity theory.

Table of Contents:
Quasilinear parabolic integrodifferential systems with fully nonlinear boundary conditions, P.Acquistapace and B.Terreni; integrated solutions of Volterra integrodifferential equations and applications, W.Arendt and H.Kellermann; viscoelasticity without initial condition, M.Chipot and G.Vergara-Caffarelli; perturbation theory for dual semigroups III - nonlinear Lipschitz continuous perturbations in the sun-reflexive, P.Clement et al; some global problems for Volterra functional differential equations, C.Corduneanu; propagation of singularities by solutions of second order integrodifferential equations, W.Desch et al; boundary value problems for weak solutions of a class of quasilinear hyperbolic integrodifferential equations, H.Engler; implicit integrodifferential equations, A.Favini; semilinear Hille-Yosida theory, J.A.Goldstein et al; integrodifferential equations in Banach spaces with infinite memory, R.Grimmer and W.Schappacher; existence and decay estimates for boundary feedback stabilization of torsional vibrations in a viscoelastic rod, K.B.Hannsgen and R.L.Wheeler; weak solutions for a class of parabolic Volterra integrodifferential equations, M.L.Heard and S.M.Rankin III; a model problem in one-dimensional viscoelasticity with a singular kernel, W.J.Hrusa and M.Renardy; fractional order Volterra equations, U.Jin Choi and R.C.MacCamy; stability results for integrodifferential equations, V.Lakshmikantham; boundary controllability of a viscoelastic string, G.Leugering; stability results for a partial integrodifferential inverse problem, A.Lorenzi and E.Sinestrari; asymptotic behaviour of parabolic equations with infinite delay, J.Milota; nonlinear integrodifferential equations in Hilbert space - the variational case, E.Mitidierei and M.Tosques; hyperbolic conservation laws in viscoelasticity, J.A.Nohel et al; regularity and integrability of resolvents of linear Volterra equations, J.Pruss; regularity results for an integrodifferential equation of convolution type in Hilbert space, D.Sforza; linear stochastic integrodifferential equations, V.Vespri.