On Cα-Hölder classical solutions for non-autonomous neutral differential equations: The nonlinear case

Eduardo Hernández; Donal O'Regan; Rodrigo Ponce

doi:10.1016/j.jmaa.2014.06.020

On C^α-Hölder classical solutions for non-autonomous neutral differential equations: The nonlinear case

Eduardo Hernández
, Donal O'Regan
, Rodrigo Ponce

Mathematics

University of São Paulo
Universidad de Talca

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

10 Citations (Scopus)

Abstract

In this paper we continue our developments in [19] on the existence of classical solutions for abstract neutral differential equations. In the current work we extend the results in [19] for nonlinear neutral differential equations. Some applications involving nonlinear partial neutral differential equations are presented.

Original language	English
Pages (from-to)	1814-1831
Number of pages	18
Journal	Journal of Mathematical Analysis and Applications
Volume	420
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2014.06.020
Publication status	Published - 15 Dec 2014

Keywords

Abstract neutral differential equations
Analytic semigroup
Differential equations in abstract spaces
Partial neutral differential equations

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10.1016/j.jmaa.2014.06.020

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title = "On Cα-H{\"o}lder classical solutions for non-autonomous neutral differential equations: The nonlinear case",

abstract = "In this paper we continue our developments in [19] on the existence of classical solutions for abstract neutral differential equations. In the current work we extend the results in [19] for nonlinear neutral differential equations. Some applications involving nonlinear partial neutral differential equations are presented.",

keywords = "Abstract neutral differential equations, Analytic semigroup, Differential equations in abstract spaces, Partial neutral differential equations",

author = "Eduardo Hern{\'a}ndez and Donal O'Regan and Rodrigo Ponce",

year = "2014",

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day = "15",

doi = "10.1016/j.jmaa.2014.06.020",

language = "English",

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TY - JOUR

T1 - On Cα-Hölder classical solutions for non-autonomous neutral differential equations

T2 - The nonlinear case

AU - Hernández, Eduardo

AU - O'Regan, Donal

AU - Ponce, Rodrigo

PY - 2014/12/15

Y1 - 2014/12/15

N2 - In this paper we continue our developments in [19] on the existence of classical solutions for abstract neutral differential equations. In the current work we extend the results in [19] for nonlinear neutral differential equations. Some applications involving nonlinear partial neutral differential equations are presented.

AB - In this paper we continue our developments in [19] on the existence of classical solutions for abstract neutral differential equations. In the current work we extend the results in [19] for nonlinear neutral differential equations. Some applications involving nonlinear partial neutral differential equations are presented.

KW - Abstract neutral differential equations

KW - Analytic semigroup

KW - Differential equations in abstract spaces

KW - Partial neutral differential equations

UR - https://www.scopus.com/pages/publications/84928137869

U2 - 10.1016/j.jmaa.2014.06.020

DO - 10.1016/j.jmaa.2014.06.020

M3 - Article

SN - 0022-247X

VL - 420

SP - 1814

EP - 1831

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

On C^α-Hölder classical solutions for non-autonomous neutral differential equations: The nonlinear case

Abstract

Keywords

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