Complete continuity of some nonlinear Volterra operator in Banach spaces

DOI10.4171/ZAA/806zbMath0894.47055OpenAlexW1963604574MaRDI QIDQ1381118

Martin Väth

Publication date: 17 March 1998

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/806

zbMATH Keywords

compactnessabstract Volterra operatorcompact or condensing nonlinear operators

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Vector-valued set functions, measures and integrals (28B05) Integral operators (45P05) Vector-valued measures and integration (46G10)

Related Items (5)

Approximation, complete continuity, and uniform measurability of Uryson operators on general measure spaces ⋮ Compactness estimates for integral operators of vector functions with nonmeasurable kernels ⋮ Compactness and existence results for ordinary differential equations in Banach spaces ⋮ Abstract Volterra equations of the second kind ⋮ An abstract Gronwall lemma and applications to global existence results for functional differential and integral equations of fractional order

Cites Work

• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Ordinary differential equations in Banach spaces
• Ideal spaces
• Punti uniti in trasformazioni a codominio non compatto
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