Displaying similar documents to “On the existence of bounded continuous solution of Hammerstein integral equation”

Evolution inclusions in non separable Banach spaces

Francesco Saverio De Blasi, Giulio Pianigiani (1999)

Commentationes Mathematicae Universitatis Carolinae

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We study a Cauchy problem for non-convex valued evolution inclusions in non separable Banach spaces under Filippov type assumptions. We establish existence and relaxation theorems.

On the structure of the set of solutions of a Volterra integral equation in a Banach space

Krzysztof Czarnowski (1994)

Annales Polonici Mathematici

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The set of solutions of a Volterra equation in a Banach space with a Carathéodory kernel is proved to be an δ , in particular compact and connected. The kernel is not assumed to be uniformly continuous with respect to the unknown function and the characterization is given in terms of a B₀-space of continuous functions on a noncompact domain.

Some existence results for solutions of differential inclusions with retardations

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

Annales Polonici Mathematici

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Using the topological transversality method of Granas we prove an existence result for a system of differential inclusions with retardations of the form y'' ∈ F(t,y,y',Φ(y)). The result is applied to the study of the existence of solutions to an equation of the trajectory of an r-stage rocket with retardations.

Change of variables formula under minimal assumptions

Piotr Hajłasz (1993)

Colloquium Mathematicae

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In the previous papers concerning the change of variables formula (in the form involving the Banach indicatrix) various assumptions were made about the corresponding transformation (see e.g. [BI], [GR], [F], [RR]). The full treatment of the case of continuous transformation is given in [RR]. In [BI] the transformation was assumed to be continuous, a.e. differentiable and with locally integrable Jacobian. In this paper we show that none of these assumptions is necessary (Theorem 2). We...