Almost Periodic Solutions of Abstract Retarded Functional Differential Equations with Unbounded Delay

Herńan R. Henríquez; Carlos H. Vásquez

doi:10.1023/A:1006266900851

Almost Periodic Solutions of Abstract Retarded Functional Differential Equations with Unbounded Delay

Herńan R. Henríquez, Carlos H. Vásquez

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

We establish the existence of bounded, almost periodic and asymptotically almost periodic mild solutions for first- and second-order abstract-retarded functional differential equations with unbounded delay.

Original language	English
Pages (from-to)	105-132
Number of pages	28
Journal	Acta Applicandae Mathematicae
Volume	57
Issue number	2
DOIs	https://doi.org/10.1023/A:1006266900851
State	Published - 1999
Externally published	Yes

Keywords

Almost periodic solutions
Cosine functions of operators
Retarded functional differential equations
Semigroup of operators

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10.1023/A:1006266900851

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title = "Almost Periodic Solutions of Abstract Retarded Functional Differential Equations with Unbounded Delay",

abstract = "We establish the existence of bounded, almost periodic and asymptotically almost periodic mild solutions for first- and second-order abstract-retarded functional differential equations with unbounded delay.",

keywords = "Almost periodic solutions, Cosine functions of operators, Retarded functional differential equations, Semigroup of operators",

author = "Henr{\'i}quez, {Her{\'n}an R.} and V{\'a}squez, {Carlos H.}",

note = "Funding Information: ★ This work was supported in part by DICYT-USACH, Project 04-9633 HM and FONDECYT, project 1970716.",

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journal = "Acta Applicandae Mathematicae",

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T1 - Almost Periodic Solutions of Abstract Retarded Functional Differential Equations with Unbounded Delay

AU - Henríquez, Herńan R.

AU - Vásquez, Carlos H.

N1 - Funding Information: ★ This work was supported in part by DICYT-USACH, Project 04-9633 HM and FONDECYT, project 1970716.

PY - 1999

Y1 - 1999

N2 - We establish the existence of bounded, almost periodic and asymptotically almost periodic mild solutions for first- and second-order abstract-retarded functional differential equations with unbounded delay.

AB - We establish the existence of bounded, almost periodic and asymptotically almost periodic mild solutions for first- and second-order abstract-retarded functional differential equations with unbounded delay.

KW - Almost periodic solutions

KW - Cosine functions of operators

KW - Retarded functional differential equations

KW - Semigroup of operators

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U2 - 10.1023/A:1006266900851

DO - 10.1023/A:1006266900851

M3 - Article

AN - SCOPUS:18244423454

SN - 0167-8019

VL - 57

SP - 105

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JO - Acta Applicandae Mathematicae

JF - Acta Applicandae Mathematicae

IS - 2

ER -

Almost Periodic Solutions of Abstract Retarded Functional Differential Equations with Unbounded Delay

Abstract

Keywords

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