On a new class of abstract neutral integro-differential equations and applications

DOI10.1007/s10440-016-0090-1zbMath1398.35284OpenAlexW2565225553MaRDI QIDQ1675479

Donal O'Regan, Eduardo M. Hernández

Publication date: 27 October 2017

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-016-0090-1

zbMATH Keywords

sectorial operatorresolvent operatorintegro-differential equationfunctional differential equationsstrict solution

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Initial-boundary value problems for second-order parabolic equations (35K20) Partial functional-differential equations (35R10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Integro-partial differential equations (35R09)

Related Items

Optimal control problems for a neutral integro-differential system with infinite delay ⋮ Fundamental solutions for semi-linear neutral retarded integro-differential systems and applications to control problems ⋮ Controllability of semilinear neutral stochastic integrodifferential evolution systems with fractional Brownian motion ⋮ Optimal control problems for a semi‐linear integro‐differential evolution system with infinite delay ⋮ Optimal control for semilinear integrodifferential evolution equations in Banach spaces ⋮ Existence and regularity of solutions for neutral partial integro-differential equations with nonlocal conditions ⋮ Existence and asymptotic properties of solutions of an integro-differential evolution equation with nonlocal conditions on infinite interval

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