Representation and approximation of solutions to semilinear Volterra equations with delay

DOI10.1016/0022-0396(79)90060-3zbMath0405.45010OpenAlexW2006940753MaRDI QIDQ1257192

William Edward Fitzgibbon

Publication date: 1979

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(79)90060-3

zbMATH Keywords

Evolution Operator on a Banach SpaceNonlinear Evolution OperatorPartial Functional Differential EquationsProduct Integral RepresentationSemilinear Volterra Equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Abstract integral equations, integral equations in abstract spaces (45N05) Theoretical approximation of solutions to integral equations (45L05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (6)

Nonlinear functional variational inequalities governed by time-dependent subdifferentials ⋮ Functional evolution equations. ⋮ The method of lines for solving a class of abstract differential equations ⋮ Equations with unbounded delay: a survey ⋮ Convergence of the Kato approximants for evolution equations involving functional perturbations ⋮ Representation and approximation of generalized solutions of a nonlinear functional differential equation

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