On abstract degenerate neutral differential equations

Eduardo Hernández; Donal O’Regan

doi:10.1007/s00033-016-0726-z

On abstract degenerate 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

Abstract

We introduce a new abstract model of functional differential equations, which we call abstract degenerate neutral differential equations, and we study the existence of strict solutions. The class of problems and the technical approach introduced in this paper allow us to generalize and extend recent results on abstract neutral differential equations. Some examples on nonlinear partial neutral differential equations are presented.

Original language	English
Article number	135
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	67
Issue number	5
DOIs	https://doi.org/10.1007/s00033-016-0726-z
Publication status	Published - 1 Oct 2016

Keywords

Analytic semigroup
Neutral equations
Nonlinear equations
Strict solutions

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10.1007/s00033-016-0726-z

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abstract = "We introduce a new abstract model of functional differential equations, which we call abstract degenerate neutral differential equations, and we study the existence of strict solutions. The class of problems and the technical approach introduced in this paper allow us to generalize and extend recent results on abstract neutral differential equations. Some examples on nonlinear partial neutral differential equations are presented.",

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AB - We introduce a new abstract model of functional differential equations, which we call abstract degenerate neutral differential equations, and we study the existence of strict solutions. The class of problems and the technical approach introduced in this paper allow us to generalize and extend recent results on abstract neutral differential equations. Some examples on nonlinear partial neutral differential equations are presented.

KW - Analytic semigroup

KW - Neutral equations

KW - Nonlinear equations

KW - Strict solutions

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On abstract degenerate neutral differential equations

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Keywords

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