Semicontinuous differential inclusions
Lower semicontinuous differential inclusions
In the paper we consider lower semicontinuous differential inclusions with one sided Lipschitz and compact valued right hand side in a Banach space with uniformly convex dual. We examine the nonemptiness and some qualitative properties of the solution set.
Lower semicontinuous differential inclusions. One-sided Lipschitz approach
Some properties of differential inclusions with lower semicontinuous right-hand side are considered. Our essential assumption is the one-sided Lipschitz condition introduced in [4]. Using the main idea of [10], we extend the well known relaxation theorem, stating that the solution set of the original problem is dense in the solution set of the relaxed one, under assumptions essentially weaker than those in the literature. Applications in optimal control are given.
Mixed type semicontinuous differential inclusions in Banach spaces
We consider a class of differential inclusions in (nonseparable) Banach spaces satisfying mixed type semicontinuity hypotheses and prove the existence of solutions for a problem with state constraints. The cases of dissipative type conditions and with time lag are also studied. These results are then applied to control systems.
On the theorem of Filippov-Pliś and some applications
Impulsive differential inclusions with constraints.
Fixed time impulsive differential inclusions.
Euler approximation of nonconvex discontinuous differential inclusions.
Lower semicontinuous differential inclusions with state constrains.
Regular and singular perturbations of upper semicontinuous differential inclusions.
Relaxed submonotone mappings.
Asen L. Dontchev (on the occasion of his 65th birthday) and Vladimir M. Veliov (on the occasion of his 60th birthday)
[Donchev Tzanko; Дончев Цанко]; [Krastanov Mikhail; Кръстанов Михаил]; [Ribarska Nadezhda; Рибарска Надежда]; [Tsachev Tsvetomir; Цачев Цветомир]; [Zlateva Nadia; Златева Надя]
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