On the existence of solutions for Volterra integral inclusions in Banach spaces.
Pareto optimality for nonlinear infinite dimensional control systems.
Topological properties of the solution set of integrodifferential inclusions
In this paper we examine nonlinear integrodifferential inclusions in . For the nonconvex problem, we show that the solution set is a retract of the Sobolev space and the retraction can be chosen to depend continuously on a parameter . Using that result we show that the solution multifunction admits a continuous selector. For the convex problem we show that the solution set is a retract of . Finally we prove some continuous dependence results.
Non-convex perturbations of evolution equations with -dissipative operators in Banach spaces
Extremal solutions and relaxation for second order vector differential inclusions
In this paper we consider periodic and Dirichlet problems for second order vector differential inclusions. First we show the existence of extremal solutions of the periodic problem (i.e. solutions moving through the extreme points of the multifunction). Then for the Dirichlet problem we show that the extremal solutions are dense in the -norm in the set of solutions of the “convex” problem (relaxation theorem).
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