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Displaying similar documents to “Connections between recent Olech-type lemmas and Visintin's theorem”

Fatou's Lemma and the Lebesgue's Convergence Theorem

Noboru Endou, Keiko Narita, Yasunari Shidama (2008)

Formalized Mathematics

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In this article we prove the Fatou's Lemma and Lebesgue's Convergence Theorem [10].MML identifier: MESFUN10, version: 7.9.01 4.101.1015

Singular perturbations for systems of differential inclusions

Marc Quincampoix (1995)

Banach Center Publications

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We study a system of two differential inclusions such that there is a singular perturbation in the second one. We state new convergence results of solutions under assumptions concerning contingent derivative of the perturbed inclusion. These results state that there exists at least one family of solutions which converges to some solution of the reduced system. We extend this result to perturbed systems with state constraints.

Sufficient Conditions of Optimality for Control Pproblem Governed by Variational Inequalities

Ndoutoume, James (1995)

Serdica Mathematical Journal

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* This work was completed while the author was visiting the University of Limoges. Support from the laboratoire “Analyse non-linéaire et Optimisation” is gratefully acknowledged. The author recently introduced a regularity assumption for derivatives of set-valued mappings, in order to obtain first order necessary conditions of optimality, in some generalized sense, for nondifferentiable control problems governed by variational inequalities. It was noticed that this regularity...

On the topological structure of the solution set for a semilinear ffunctional-differential inclusion in a Banach space

Giuseppe Conti, Valeri Obukhovskiĭ, Pietro Zecca (1996)

Banach Center Publications

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In this paper we show that the set of all mild solutions of the Cauchy problem for a functional-differential inclusion in a separable Banach space E of the form x’(t) ∈ A(t)x(t) + F(t,xt) is an R δ -set. Here A(t) is a family of linear operators and F is a Carathéodory type multifunction. We use the existence result proved by V. V. Obukhovskiĭ [22] and extend theorems on the structure of solutions sets obtained by N. S. Papageorgiou [23] and Ya. I. Umanskiĭ [32].