On a class of second order integrodifferential equations
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Publication:1192079
zbMath0757.45012MaRDI QIDQ1192079
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
existenceuniquenessBanach spaceresolvent operatoranalytic semigroupvariation of constants formulaabstract second order integrodifferential equationLaplace transformable functionsstrict and strong solutions
Integro-ordinary differential equations (45J05) Abstract integral equations, integral equations in abstract spaces (45N05)
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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
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