Integrated semigroups amd integrodifferential equations

DOI10.1007/BF02573656zbMath0788.45011OpenAlexW2083411696MaRDI QIDQ1313478

James H. Liu, Ronald Grimmer

Publication date: 26 May 1994

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135299

zbMATH Keywords

integro-differential equationsexistenceuniquenessBanach spaceviscoelasticitycontinuous dependencenondegenerate locally Lipschitz continuous integrated semigroups

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) One-parameter semigroups and linear evolution equations (47D06) Abstract integral equations, integral equations in abstract spaces (45N05) Dynamical problems in solid mechanics (74Hxx)

Related Items

Singular perturbations in viscoelasticity ⋮ Existence of solutions for some nonlinear delay integrodifferential equations with nonlocal initial conditions ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ Integrated resolvent operators ⋮ Laplace transforms and integrated, regularized semigroups in locally convex spaces ⋮ Local existence for retarded Volterra integrodifferential equations with Hille--Yosida operators ⋮ Existence and regularity for some partial neutral functional integrodifferential equations with nondense domain ⋮ Existence of solutions for nonlinear functional integrodifferential evolution equations with nonlocal conditions ⋮ Abstract quasilinear integrodifferential equations of hyperbolic type ⋮ Solutions to boundary Cauchy problems with infinite delay ⋮ Regularized semigroups of bounded semivariation ⋮ Regularized semigroups of bounded semivariation ⋮ A class of complete second order linear differential equations ⋮ Controllability of nonlinear neutral evolution integrodifferential systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integrated semigroups
• Some considerations for linear integrodifferential equations
• Vector-valued Laplace transforms and Cauchy problems
• Wellposedness and wave propagation for a class of integrodifferential equations in Banach space
• Maximum norm in one-dimensional hyperbolic problems
• ``Integrated semigroups and integrated solutions to abstract Cauchy problems