Existence of solutions for a class of integrodifferential equations in Banach spaces

DOI10.1216/JIEA/1181074280zbMath0974.45010OpenAlexW2004799725MaRDI QIDQ5939740

Fangqi Chen

Publication date: 30 July 2001

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/JIE10-3/CONT10-3/CONT10-3.html

zbMATH Keywords

Banach spacesexistencemeasure of noncompactnessMönch fixed point theoremnonlinear integrodifferential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Abstract integral equations, integral equations in abstract spaces (45N05)

Cites Work

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• Topological transversality: Application to an integrodifferential equation
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• On a nonlinear convolution equation occurring in the theory of water percolation
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Existence and comparison results for nonlinear volterra integral equations in a banach space
• Solutions of nonlinear integrodifferential equations of mixed type in Banach spaces

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