This volume is based on papers presented at the International Workshop on Differential Equations and Optimal Control, held at the Department of Mathematics of Ohio University in Athens, Ohio. The main objective of this international meeting was to feature new trends in the theory and applications of partial differential and functional-differential equations and their optimal control. The workshop can be viewed as a follow-up to the March 1993 Ohio University International Conference on Optimal Control of Differential Equations, whose proceedings were edited by N. H. Pavel and also published by Marcel Dekker, Inc., as volume 160 of the series: Lecture Note in Pure and Applied Mathematics.
A large variety of related topics is covered in this volume, both theoretical and applied, deterministic and stochastic. The topics include: nonlinear programming and control with closed range operators, stabilization of the diffusion equations, flow-invariant sets with respect to the Navier-Stokes equations, numerical approximation of the Riccati equation, telegraph systems, dispersive equations, viable domains for differential equations, almost periodic solutions to neutral functional equations, Wentzell boundary conditions, parabolic phase-field models with memory, Kato classes of distributions, optimal control and algebraic Riccati equations, identification problems for wave equations via optimal control, integrodifferential and other functional equations, stochastic Navier-Stokes equations, Lavrentiev phenomena, volatility for American options via optimal control, obstacle problems, necessary conditions of optimality for semilinear problems, Lyapunov stability, least action for ,/V-body problems, and more.
The workshop was sponsored by the College of Arts and Sciences, the Department of Mathematics, and the Research Office of Ohio University. We gratefully acknowledge their financial support, which made this workshop possible. We are also very indebted to all participants and contributors. Finally, our thanks go also to Marcel Dekker, Inc., for undertaking
the publication of this volume.
Nicolae H. Pavel