Hyperbolic systems of partial differential inclusions

Jean-Pierre Aubin; Hélène Frankowska

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Displaying similar documents to “Hyperbolic systems of partial differential inclusions”

Semicontinuous differential inclusions

Tzanko Donchev (1999)

Rendiconti del Seminario Matematico della Università di Padova

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On the theorem of Filippov-Pliś and some applications

Tzanko Donchev, Elza Farkhi (2009)

Control and Cybernetics

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Approximate and relaxed solutions of differential inclusions

Giovanni Colombo (1989)

Rendiconti del Seminario Matematico della Università di Padova

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Regular and singular perturbations of upper semicontinuous differential inclusions.

Donchev, Tzanko, Angelov, Vasil (1997)

International Journal of Mathematics and Mathematical Sciences

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Lower semicontinuous differential inclusions

Tzanko Donchev (1998)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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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.

High order inverse function theorems

H. Frankowska (1989)

Annales de l'I.H.P. Analyse non linéaire

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Lower semicontinuous differential inclusions. One-sided Lipschitz approach

Tzanko Donchev (1998)

Colloquium Mathematicae

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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.

On Lipschitz midconvex multifunctions

Wilhelmina Smajdor, Joanna Szczawińska (2004)

Mathematica Slovaca

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