On a class of second order integrodifferential equations

zbMath0757.45012MaRDI QIDQ1192079

Daniela Sforza

Publication date: 27 September 1992

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1991__86__157_0

zbMATH Keywords

existenceuniquenessBanach spaceresolvent operatoranalytic semigroupvariation of constants formulaabstract second order integrodifferential equationLaplace transformable functionsstrict and strong solutions

Mathematics Subject Classification ID

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

Related Items (1)

Existence of \( S\)-asymptotically \(\omega\)-periodic solutions to abstract integro-differential equations

Cites Work

• The Cauchy problem in one-dimensional nonlinear viscoelasticity
• Existence and regularity for a class of integrodifferential equations of parabolic type
• Solvability on the real line of a class of linear Volterra integrodifferential equations of parabolic type
• Linear integro-differential equations in Banach spaces
• An abstract Volterra equation with applications to linear viscoelasticity
• Asymptotic stability in viscoelasticity
• Energy methods for nonlinear hyperbolic volterra integrodifferential equations
• A model for one-dimensional, nonlinear viscoelasticity
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On a class of second order integrodifferential equations