Displaying similar documents to “Existence results for random neutral functional integrodifferential inclusions.”

A strong relaxation theorem for maximal monotone differential inclusions with memory

Nikolaos S. Papageorgiou (1994)

Archivum Mathematicum

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We consider maximal monotone differential inclusions with memory. We establish the existence of extremal strong and then we show that they are dense in the solution set of the original equation. As an application, we derive a “bang-bang” principle for nonlinear control systems monitored by maximal monotone differential equations.

On four-point boundary value problems for differential inclusions and differential equations with and without multivalued moving constraints

Adel Mahmoud Gomaa (2012)

Czechoslovak Mathematical Journal

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We deal with the problems of four boundary points conditions for both differential inclusions and differential equations with and without moving constraints. Using a very recent result we prove existence of generalized solutions for some differential inclusions and some differential equations with moving constraints. The results obtained improve the recent results obtained by Papageorgiou and Ibrahim-Gomaa. Also by means of a rather different approach based on an existence theorem due...

Nonlinear boundary value problems for differential inclusions y'' ∈ F(t,y,y')

L. H. Erbe, W. Krawcewicz (1991)

Annales Polonici Mathematici

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Applying the topological transversality method of Granas and the a priori bounds technique we prove some existence results for systems of differential inclusions of the form y'' ∈ F(t,y,y'), where F is a Carathéodory multifunction and y satisfies some nonlinear boundary conditions.

Topological properties of the solution set of integrodifferential inclusions

Evgenios P. Avgerinos, Nikolaos S. Papageorgiou (1995)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we examine nonlinear integrodifferential inclusions in N . For the nonconvex problem, we show that the solution set is a retract of the Sobolev space W 1 , 1 ( T , N ) and the retraction can be chosen to depend continuously on a parameter λ . 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 C ( T , N ) . Finally we prove some continuous dependence results.