Linear abstract integro-differential equations of hyperbolic type in Hilbert spaces

zbMath0451.45013MaRDI QIDQ1147939

Mimmo Iannelli, Giuseppe Da Prato

Publication date: 1980

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_1980__62__191_0

zbMATH Keywords

existenceHilbert spacehyperbolic type

Mathematics Subject Classification ID

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

Related Items (12)

Characterization of compactness for resolvents and its applications ⋮ Integral equations as evolution equations ⋮ Linear integro-differential equations in Banach spaces ⋮ Inhomogeneous fractional evolutionary equation in the sectorial case ⋮ On the complex inversion formula and admissibility for a class of Volterra systems ⋮ A class of hyperbolic volterra integrodifferential equations ⋮ Analytic solutions of Volterra equations via semigroups ⋮ APPROXIMATION OF FRACTIONAL RESOLVENTS AND APPLICATIONS TO TIME OPTIMAL CONTROL PROBLEMS ⋮ Duality theory of fractional resolvents and applications to backward fractional control systems ⋮ Analytic resolvent operators for integral equations in Banach space ⋮ On the quadratic optimal control problem for Volterra integro- differential equations ⋮ Existence and regularity for a class of integrodifferential equations of parabolic type

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• On a method for studying abstract evolution equations in the hyperbolic case
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