Differentiability of solutions of abstract neutral integro-differential equations

DOI10.1216/JIE-2013-25-1-47zbMath1282.34079MaRDI QIDQ352599

José Paulo Carvalho dos Santos, Hernán R. Henríquez

Publication date: 5 July 2013

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

Full work available at URL: https://projecteuclid.org/euclid.jiea/1367845185

zbMATH Keywords

integro-differential equationsneutral equationsresolvent operatorsabstract integral equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Functional-differential equations in abstract spaces (34K30) Neutral functional-differential equations (34K40)

Related Items (10)

Optimal control problems for a neutral integro-differential system with infinite delay ⋮ Existence of \( S\)-asymptotically \(\omega\)-periodic solutions to abstract integro-differential equations ⋮ Optimal controls problems for some impulsive stochastic integro-differential equations with state-dependent delay ⋮ Controllability of semilinear neutral stochastic integrodifferential evolution systems with fractional Brownian motion ⋮ Existence results for some stochastic functional integrodifferential systems driven by Rosenblatt process ⋮ Approximate controllability for finite delay nonlocal neutral integro-differential equations using resolvent operator theory ⋮ Existence results for neutral integro-differential equations with nonlocal conditions ⋮ Existence of solution via integral inequality of Volterra-Fredholm neutral functional integrodifferential equations with infinite delay ⋮ Approximate controllability of nonlocal and impulsive neutral integro-differential equations using the resolvent operator theory and an approximating technique ⋮ Existence and asymptotic properties of solutions of an integro-differential evolution equation with nonlocal conditions on infinite interval

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