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Displaying similar documents to “On non-absolute functional Volterra integral equations and impulsive differential equations in ordered Banach spaces.”

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

Krzysztof Czarnowski (1994)

Annales Polonici Mathematici

Similarity:

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.