On a New Class of Abstract Neutral Integro-Differential Equations and Applications

Eduardo Hernández; Donal O’Regan

doi:10.1007/s10440-016-0090-1

On a New Class of Abstract Neutral Integro-Differential Equations and Applications

Eduardo Hernández, Donal O’Regan

Mathematics

University of São Paulo

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

17 Citations (Scopus)

Abstract

In this paper we introduce a new class of abstract integro-differential equations with delay and we study the existence of strict solutions. An application involving the heat equation with memory is presented.

Original language	English
Pages (from-to)	125-137
Number of pages	13
Journal	Acta Applicandae Mathematicae
Volume	149
Issue number	1
DOIs	https://doi.org/10.1007/s10440-016-0090-1
Publication status	Published - 1 Jun 2017

Keywords

Functional differential equations
Integro-differential equation
Resolvent operator
Sectorial operator
Strict solution

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10.1007/s10440-016-0090-1

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title = "On a New Class of Abstract Neutral Integro-Differential Equations and Applications",

abstract = "In this paper we introduce a new class of abstract integro-differential equations with delay and we study the existence of strict solutions. An application involving the heat equation with memory is presented.",

keywords = "Functional differential equations, Integro-differential equation, Resolvent operator, Sectorial operator, Strict solution",

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

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AU - O’Regan, Donal

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AB - In this paper we introduce a new class of abstract integro-differential equations with delay and we study the existence of strict solutions. An application involving the heat equation with memory is presented.

KW - Functional differential equations

KW - Integro-differential equation

KW - Resolvent operator

KW - Sectorial operator

KW - Strict solution

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DO - 10.1007/s10440-016-0090-1

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On a New Class of Abstract Neutral Integro-Differential Equations and Applications

Abstract

Keywords

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