DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 Volume 5  Number 2  April 1999

CONTENTS

Y. Latushkin and B. Layton, The optimal gap condition for invariant manifolds; 233

Alain Damlamian and Nobuyuki Kenmochi, Evolution equations generated by subdifferentials in the dual space of $(H^{1}(\Omega))$; 269

Urszula Ledzewicz and Stanislaw Walczak, Optimal control of systems governed by some elliptic equations; 279

Grant Cairns, Barry Jessup and Marcel Nicolau, Topologically transitive homeomorphisms of quotients of tori; 291

Monica Musso and Donato Passaseo, Multiple solutions of Neumann elliptic problems with critical nonlinearity; 301

Sanjay K. Mazumdar and Cheng-Chew Lim, A neural network based anti-skid brake system; 321

Evelyn Sander, Hyperbolic sets for noninvertible maps and relations; 339

Michal Fe\v ckan, Bifurcation from degenerate homoclinics in periodically forced systems; 359

Pierluigi Colli, Gianni Gilardi, Philippe Lauren\ccot and Amy Novick-Cohen, Uniqueness and long--time behavior for the conserved phase--field system with memory; 375

Tai-Chia Lin, Vortices for the nonlinear wave equation; 391

M. Efendiev and A. Miranville, Finite dimensional attractors for reaction-diffusion equations in $R^n$ with a strong nonlinearity; 399

N. Chernov, Statistical properties of piecewise smooth hyperbolic systems in high dimensions; 425

Corrado Lattanzio and Pierangelo Marcati, The relaxation to the drift-diffusion system for the $3$-$D$ isentropic Euler-Poisson model for semiconductors; 449

Roy Adler, Bruce Kitchens, Michael Shub, Errata to ``Stably ergodic skew products; 456

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