Measures of noncompactness and solvability of an integral equation in the class of functions of locally bounded variation

DOI10.1016/0022-247X(92)90241-5zbMath0754.45008MaRDI QIDQ1197439

Wagdy Gomaa El-Sayed, Józef Banaś

Publication date: 16 January 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

solvabilitynonlinear Volterra equationlocally bounded variationmeasure of weak non-compactnessVitali compactness criterion

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Volterra integral equations (45D05)

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Cites Work

• Measures of weak noncompactness and nonlinear integral equations of convolution type
• Implicit functions, nonlinear integral equations, and the measure of noncompactness of the superposition operator
• Measure of non-compactness and interpolation of compactness for a class of integral transformations
• Punti uniti in trasformazioni a codominio non compatto
• On the superposition operator and integrable solutions of some functional equation
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