On integral equations in a Banach space

Józef Piórek

Displaying similar documents to “On integral equations in a Banach space”

On some classes of Volterra integral equations in Banach space

Bogdan Rzepecki (1982)

Colloquium Mathematicae

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A nonlinear Banach-Steinhaus theorem and some meager sets in Banach spaces

Jacek Jachymski (2005)

Studia Mathematica

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We establish a Banach-Steinhaus type theorem for nonlinear functionals of several variables. As an application, we obtain extensions of the recent results of Balcerzak and Wachowicz on some meager subsets of L¹(μ) × L¹(μ) and c₀ × c₀. As another consequence, we get a Banach-Mazurkiewicz type theorem on some residual subset of C[0,1] involving Kharazishvili's notion of Φ-derivative.

On the existence of solutions of an integro-differential equation in Banach spaces

Stanisław Szufla (2009)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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Existence of Solutions for Integrodifferential Inclusions in Banach Spaces

Nikolaos S. Papageorgiou (1994)

Publications de l'Institut Mathématique

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Second order semilinear Volterra integrodifferential equation in Banach space

Jan Bochenek (1992)

Annales Polonici Mathematici

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By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of some semilinear second order Volterra integrodifferential equations in Banach spaces is proved. The results are applied to some integro-partial differential equations.