Abstract Volterra equations of the second kind

DOI10.1216/jiea/1181074233zbMath0917.45011OpenAlexW1985409287MaRDI QIDQ1275266

Martin Väth

Publication date: 27 July 1999

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

global solutionslocal solutionsnonlinear Volterra equationabstract Volterra operatorcompact linear Volterra operators

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Other nonlinear integral equations (45G10) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items

Spectral properties of partial integral operators of Volterra and Volterra-Fredholm type ⋮ On the spectrum of orthomorphisms and Barbashin operators ⋮ The essential spectral radius of Volterra operators and an application to Volterra-Hammerstein functional inclusions ⋮ An abstract Gronwall lemma and applications to global existence results for functional differential and integral equations of fractional order ⋮ Regularization of the classical optimality conditions in optimal control problems for linear distributed systems of Volterra type

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