On second order differential equations with state-dependent delay

Eduardo Hernández; Katia A.G. Azevedo; Donal O’Regan

doi:10.1080/00036811.2017.1382685

On second order differential equations with state-dependent delay

Eduardo Hernández, Katia A.G. Azevedo, Donal O’Regan

Mathematics

University of São Paulo

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

14 Citations (Scopus)

Abstract

We study existence and uniqueness of solutions for a general class of second order abstract differential equations with state-dependent delay. Some examples related to partial differential equations with state dependent delay are presented.

Original language	English
Pages (from-to)	2610-2617
Number of pages	8
Journal	Applicable Analysis
Volume	97
Issue number	15
DOIs	https://doi.org/10.1080/00036811.2017.1382685
Publication status	Published - 18 Nov 2018

Keywords

Abstract Cauchy problem
cosine function
state-dependent delay

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10.1080/00036811.2017.1382685

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title = "On second order differential equations with state-dependent delay",

abstract = "We study existence and uniqueness of solutions for a general class of second order abstract differential equations with state-dependent delay. Some examples related to partial differential equations with state dependent delay are presented.",

keywords = "Abstract Cauchy problem, cosine function, state-dependent delay",

author = "Eduardo Hern{\'a}ndez and Azevedo, \{Katia A.G.\} and Donal O{\textquoteright}Regan",

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AU - Hernández, Eduardo

AU - Azevedo, Katia A.G.

AU - O’Regan, Donal

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N2 - We study existence and uniqueness of solutions for a general class of second order abstract differential equations with state-dependent delay. Some examples related to partial differential equations with state dependent delay are presented.

AB - We study existence and uniqueness of solutions for a general class of second order abstract differential equations with state-dependent delay. Some examples related to partial differential equations with state dependent delay are presented.

KW - Abstract Cauchy problem

KW - cosine function

KW - state-dependent delay

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DO - 10.1080/00036811.2017.1382685

M3 - Article

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VL - 97

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JO - Applicable Analysis

JF - Applicable Analysis

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On second order differential equations with state-dependent delay

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Keywords

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