Parabolic Volterra integrodifferential equations of convolution type

DOI10.1216/jiea/1181075833zbMath0834.45012OpenAlexW2073276141MaRDI QIDQ1899923

Gabriella Di Blasio

Publication date: 11 October 1995

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075833

zbMATH Keywords

differentiable solutionsBanach spaceanalytic semigroupmaximal regularity propertystrict solutionparabolic Volterra integrodifferential equations of convolution type

Mathematics Subject Classification ID

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

Related Items (18)

Investigation of operator models arising in viscoelasticity theory ⋮ Partial integrodifferential equations with critical nonlinearities ⋮ On the asymptotic behavior of solutions of integro-differential equations in a Hilbert space ⋮ Spectral analysis and correct solvability of abstract integrodifferential equations arising in thermophysics and acoustics ⋮ On regularity and stability for a class of nonlocal evolution equations with nonlinear perturbations ⋮ Stability analysis for a class of semilinear nonlocal evolution equations ⋮ Investigation of integro-differential equations by methods of spectral theory ⋮ Study of functional-differential equations with unbounded operator coefficients ⋮ Well-defined solvability and spectral properties of abstract hyperbolic equations with aftereffect ⋮ Functional-differential equations in Sobolev spaces and related problems of spectral theory ⋮ Well-posed solvability of Volterra integro-differential equations in Hilbert space ⋮ Well-posedness and spectral analysis of integrodifferential equations arising in viscoelasticity theory ⋮ Well-defined solvability and spectral analysis of abstract hyperbolic integrodifferential equations ⋮ Spectral analysis and solvability of abstract hyperbolic equations with aftereffect ⋮ Heat equation with memory: Lack of controllability to rest ⋮ Spectral analysis of integrodifferential equations in Hilbert spaces ⋮ Properties of solutions of integro-differential equations arising in heat and mass transfer theory ⋮ Spectral Analysis and Representations of Solutions of Abstract Integro-differential Equations in Hilbert Space

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