Nonlinear hyperbolic volterra integrodifferential equations

DOI10.1016/0362-546X(95)00018-QzbMath0853.45013OpenAlexW2079442750MaRDI QIDQ4886607

Rainer Nagel, Eugenio Sinestrari

Publication date: 6 January 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00018-q

zbMATH Keywords

abstract Cauchy problemBanach spacewell posednesslinear Hille-Yosida operatornonlinear partial Volterra integrodifferential equations of hyperbolic type

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (15)

Abstract Cauchy problems for quasilinear operators whose domains are not necessarily dense or constant ⋮ Solutions to non-autonomous integrodifferential equations with infinite delay ⋮ Classical solutions of hyperbolic functional differential systems ⋮ Generalized Cauchy problem for hyperbolic functional differential systems ⋮ Existence, global continuation and regularity in the \(\alpha\)-norm for some partial functional integrodifferential equations with infinite delay ⋮ Abstract quasilinear integrodifferential equations of hyperbolic type ⋮ On the local Cauchy problem for Hamilton Jacobi equations with a functional dependence ⋮ Local existence for nonlinear Volterra integrodifferential equations with infinite delay ⋮ Existence for a class of partial functional differential equations with infinite delay ⋮ Regularized semigroups of bounded semivariation ⋮ Regularized semigroups of bounded semivariation ⋮ Non-autonomous nonlinear integro-differential equations with infinite delay ⋮ Strict solutions to nonlinear hyperbolic neutral differential equations ⋮ Abstract hyperbolic Volterra integrodifferential equations ⋮ Determining the relaxation kernel in nonlinear one-dimensional viscoelasticity

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• \(C^{\alpha}\)-regularity for non-autonomous linear integrodifferential equations of parabolic type
• Vector-valued Laplace transforms and Cauchy problems
• An abstract semilinear hyperbolic Volterra integrodifferential equation
• Maximum norm in one-dimensional hyperbolic problems
• A class of hyperbolic volterra integrodifferential equations
• An Abstract Semilinear Volterra Integrodifferential Equation
• Evolutionary Integral Equations and Applications

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