Differential Inclusions and Optimal Control

Volume 2 of Lecture Notes in Nonlinear Analysis contains papers selected from those submitted by mathematicians lecturing (Warsaw, September 22 - October 3, 1997) at the minisemester organized by the International Stefan Banach Mathematical Center in Warsaw with cooperation of the Juliusz Schauder Center for Nonlinear Studies in Toruń. It was devoted to topological methods in differential inclusions and optimal control problems.

W. Allegretto and P. Nistri, Control and optimization of nonlocal steady-state problems
J. Andres, Bounded, almost-periodic and periodic solutions of quasi-linear differential inclusions
J. Andres, L. Górniewicz and J. Jezierski, Noncompact version of the Multivalued Nielsen Theory and its application to differential inclusions
R. Bader, On the semilinear multi-valued flow under constrains and the periodic problem
D. Bors and S. Walczak, Dirichlet problems with variable boundary data
A. Bressan and W. Shen, On discontinuous differential equations
Ch. Byrnes and H. Frankowska, Uniqueness of optimal trajectories and thenonexistence of shocks for Hamilton-Jacobi-Bellman and Riccati partial differential equations
A. Cernea, On some second-order necessary conditions for differential inclusions problems
J. -F. Couchouron and M. Kamenski, A unified topological point of view for integro-differential inclusions
Z. Dzedzej and M. Izydorek, The Borsuk-Ulam theorem for approximable maps
H. Frankowska and S. Plaskacz, Semicontinuous solutions of Hamilton-Jacobi-Bellman equations with state constraints
B. D. Gel'man, Of topological dimensions of a set of solutions of functional inclusions
Y.E. Gliklikh, Accessible points and submanifolds of mechanical systems with set-valued forces on riemanian manifolds
A. Idzik and S. Park, Leray-Schauder type theorems and equilibrium existence theorems
R. Johnson, M. Kamenski and P. Nistri, Stability and instability of periodic solutions of damped wave equation in a thin domain
Z. Kánnai and P. Tallos, Potential type inclusions
W. Kryszewski, Graph-approximation of set-valued maps; A survey
A. Kucia and A. Nowak, Applications of Marczewski function to multifunctions
M. Moussaoui and A. Seeger, Characterization of approximate solutions to convex problems of calculus of variations
D. Repovs and P. V. Semenov, Continuous selections of non-lower semicontinuous nonconvex-valued mappings
S. Rolewicz, On maximality property
V. N. Ushakov, Construction of solutions in differential games of pursuit-evasion

Jan Andres

Lech Górniewicz

Paolo Nistri