On explicit abstract neutral differential equations with state-dependent delay-Reference-Cited by-同舟云学术

On explicit abstract neutral differential equations with state-dependent delay

Published:2022-12-21 Issue:3 Volume:151 Page:1119-1133
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hernández Eduardo

Abstract

We introduce and study a class of abstract neutral differential equations with state-dependent delay at the temporal derivative. We study the local and global existence and uniqueness of mild solution and the existence of strict solution. Some examples concerning partial neutral integro-differential equations are presented.

Funder

Fundação de Amparo à Pesquisa do Estado de São Paulo

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2023-151-03/S0002-9939-2022-16181-4/proc16181_AM.pdf

Reference35 articles.

1. A class of linear partial neutral functional-differential equations with nondense domain;Adimy, Mostafa;J. Differential Equations,1998

2. Bounded solutions of functional-differential equations of the superneutral type;Angelov, V. G.;Funkcial. Ekvac.,1981

3. Absolutely continuous global solutions of the initial value problem for neutral functional-differential equations of mixed type;Angelov, V. G.;Rend. Circ. Mat. Palermo (2),1981

4. State-dependent neutral delay equations from population dynamics;Barbarossa, M. V.;J. Math. Biol.,2014

5. Linear autonomous neutral differential equations in a Banach space;Datko, Richard;J. Differential Equations,1977

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