On a new class of abstract neutral differential equations

Eduardo Hernández; Donal O'Regan

doi:10.1016/j.jfa.2011.08.008

On a new class of abstract neutral differential equations

Eduardo Hernández
, Donal O'Regan

Mathematics

University of São Paulo

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

15 Citations (Scopus)

Abstract

In this work we introduce a new class of abstract neutral differential equations and study the existence of mild and strict solutions. Some concrete applications involving partial neutral differential equations are considered.

Original language	English
Pages (from-to)	3457-3481
Number of pages	25
Journal	Journal of Functional Analysis
Volume	261
Issue number	12
DOIs	https://doi.org/10.1016/j.jfa.2011.08.008
Publication status	Published - 15 Dec 2011

Keywords

Analytic semigroup
Mild solution
Neutral equation
Strict solution

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10.1016/j.jfa.2011.08.008

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abstract = "In this work we introduce a new class of abstract neutral differential equations and study the existence of mild and strict solutions. Some concrete applications involving partial neutral differential equations are considered.",

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AU - O'Regan, Donal

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AB - In this work we introduce a new class of abstract neutral differential equations and study the existence of mild and strict solutions. Some concrete applications involving partial neutral differential equations are considered.

KW - Analytic semigroup

KW - Mild solution

KW - Neutral equation

KW - Strict solution

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U2 - 10.1016/j.jfa.2011.08.008

DO - 10.1016/j.jfa.2011.08.008

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VL - 261

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EP - 3481

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 12

ER -

On a new class of abstract neutral differential equations

Abstract

Keywords

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