An abstract semilinear hyperbolic Volterra integrodifferential equation

DOI10.1016/0022-247X(81)90101-3zbMath0468.45011MaRDI QIDQ1156330

Melvin L. Heard

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessBanach spacecontinuationcontinuous dependenceabstract semilinear hyperbolic Volterra integrodifferential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (13)

Controllability of nonlinear integrodifferential systems in Banach space ⋮ Representation of solutions of a certain integro-differential equation and applications ⋮ Exponential stability of a certain semigroup and applications ⋮ Controllability of Sobolev-type integrodifferential systems in Banach spaces ⋮ Nonlinear hyperbolic volterra integrodifferential equations ⋮ Regularity for solutions of nonlinear second order evolution equations ⋮ A class of hyperbolic volterra integrodifferential equations ⋮ Local existence for nonlinear Volterra integrodifferential equations with infinite delay ⋮ Control problems for semi-linear retarded integro-differential equations by the Fredholm theory ⋮ Unnamed Item ⋮ Abstract hyperbolic Volterra integrodifferential equations ⋮ Unnamed Item ⋮ Determining the relaxation kernel in nonlinear one-dimensional viscoelasticity

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