Weak solutions for a class of parabolic Volterra integrodifferential equations

DOI10.1016/0022-247X(89)90231-XzbMath0681.45010MaRDI QIDQ1823421

Samuel M. III. Rankin, Melvin L. Heard

Publication date: 1989

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

zbMATH Keywords

existenceuniquenessweak solutionsBanach spacesemilinearparabolic Volterra integrodifferental equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Integro-partial differential equations (45K05) Groups and semigroups of linear operators (47D03) Asymptotics of solutions to integral equations (45M05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (2)

Peristaltic transport of a heat-conducting viscous fluid as an application of abstract differential equations and semigroup of operators ⋮ The impulsive heat equation with the Volterra transition layer

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Fully nonlinear integrodifferential equations in general Banach space
• A semilinear parabolic Volterra integrodifferential equation
• Semilinear integro-differential equations in Hilbert space
• Linear integro-differential equations in Banach spaces
• Geometric theory of semilinear parabolic equations
• An abstract nonlinear Volterra integrodifferential equation
• Semigroups and second-order differential equations
• An existence theorem for semilinear functional parabolic equations
• Semilinear integrodifferential equations in Banach space
• Asymptotic Behavior of Solutions of Nonlinear Volterra Equations with Completely Positive Kernels
• An Abstract Parabolic Volterra Integrodifferential Equation
• An Abstract Semilinear Volterra Integrodifferential Equation
• Almost-periodic behavior of solutions of a nonlinear Volterra system.

This page was built for publication: Weak solutions for a class of parabolic Volterra integrodifferential equations