Global solutions for a new class of abstract neutral differential equations

Donal O'Regan

doi:10.1090/S0002-9939-2015-12508-7

Global solutions for a new class of abstract neutral differential equations

Donal O'Regan

Mathematics

University of São Paulo

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

5 Citations (Scopus)

Abstract

We study the existence of global solutions for a class of abstract neutral differential equations recently introduced in the literature. An application involving a partial neutral differential equation is presented.

Original language	English (Ireland)
Pages (from-to)	3561-3571
Number of pages	10
Journal	Proc. Amer. Math. Soc.
Volume	143
Issue number	8
DOIs	https://doi.org/10.1090/S0002-9939-2015-12508-7
Publication status	Published - 1 Jan 2015

Keywords

Analytic semigroup
Mild solution
Neutral equation
Strict solution

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Hern\'andez, Eduardo and O'Regan, Donal

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10.1090/S0002-9939-2015-12508-7

Cite this

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title = "Global solutions for a new class of abstract neutral differential equations",

abstract = "We study the existence of global solutions for a class of abstract neutral differential equations recently introduced in the literature. An application involving a partial neutral differential equation is presented.",

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AB - We study the existence of global solutions for a class of abstract neutral differential equations recently introduced in the literature. An application involving a partial neutral differential equation is presented.

KW - Analytic semigroup

KW - Mild solution

KW - Neutral equation

KW - Strict solution

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Global solutions for a new class of abstract neutral differential equations

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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