On \(C^\alpha\)-Hölder classical solutions for non-autonomous neutral differential equations: the nonlinear case

DOI10.1016/j.jmaa.2014.06.020zbMath1303.34059OpenAlexW1991715823MaRDI QIDQ401124

Donal O'Regan, Rodrigo Ponce, Eduardo M. Hernández

Publication date: 26 August 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.06.020

zbMATH Keywords

differential equations in abstract spacesabstract neutral differential equationspartial neutral differential equations

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Functional-differential equations in abstract spaces (34K30) Neutral functional-differential equations (34K40)

Related Items (8)

On abstract neutral differential equations with state-dependent delay ⋮ \(C^{1+\alpha}\)-strict solutions and wellposedness of abstract differential equations with state dependent delay ⋮ Existence and uniqueness of \(S\)-asymptotically periodic \(\alpha\)-mild solutions for neutral fractional delayed evolution equation ⋮ Inertial manifolds for partial neutral functional differential equations in admissible spaces ⋮ On abstract degenerate neutral differential equations ⋮ Existence and uniqueness of solutions for abstract neutral differential equations with state-dependent delay ⋮ Well-posedness of abstract integro-differential equations with state-dependent delay ⋮ Existence and regularity of periodic solutions for neutral evolution equations with delays

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