Displaying similar documents to “A note on the solutions of a second-order evolution inclusion in non separable Banach spaces”

Second-order viability result in Banach spaces

Myelkebir Aitalioubrahim, Said Sajid (2010)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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We show the existence result of viable solutions to the second-order differential inclusion ẍ(t) ∈ F(t,x(t),ẋ(t)), x(0) = x₀, ẋ(0) = y₀, x(t) ∈ K on [0,T], where K is a closed subset of a separable Banach space E and F(·,·,·) is a closed multifunction, integrably bounded, measurable with respect to the first argument and Lipschitz continuous with respect to the third argument.

Boundary value problems for semilinear evolution inclusions: Carathéodory selections approach

Tiziana Cardinali, Lucia Santori (2011)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we prove two existence theorems for abstract boundary value problems controlled by semilinear evolution inclusions in which the nonlinear part is a lower Scorza-Dragoni multifunction. Then, by using these results, we obtain the existence of periodic mild solutions.

Some strongly bounded classes of Banach spaces

Pandelis Dodos, Valentin Ferenczi (2007)

Fundamenta Mathematicae

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We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th. Schlumprecht, asserting that there exists a separable reflexive Banach space containing isomorphic copies of every separable uniformly convex Banach space.