Existence of solutions for abstract non-autonomous neutral differential equations

Eduardo Hernández; Donal O'Regan

doi:10.4153/CMB-2011-111-1

Existence of solutions for abstract non-autonomous 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

10 Citations (Scopus)

Abstract

In this paper we discuss the existence of mild and classical solutions for a class of abstract non-autonomous neutral functional differential equations. An application to partial neutral differential equations is considered.

Original language	English
Pages (from-to)	736-751
Number of pages	16
Journal	Canadian Mathematical Bulletin
Volume	55
Issue number	4
DOIs	https://doi.org/10.4153/CMB-2011-111-1
Publication status	Published - 1 Dec 2012

Keywords

Classical solutions
Mild solutions
Neutral equations

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

Authors
Hernandez, E,O'Regan, D

Access to Document

10.4153/CMB-2011-111-1

Cite this

@article{7be115ed4d8b4de1b8fcb2d0b09a6afc,

title = "Existence of solutions for abstract non-autonomous neutral differential equations",

abstract = "In this paper we discuss the existence of mild and classical solutions for a class of abstract non-autonomous neutral functional differential equations. An application to partial neutral differential equations is considered.",

keywords = "Classical solutions, Mild solutions, Neutral equations",

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

year = "2012",

month = dec,

day = "1",

doi = "10.4153/CMB-2011-111-1",

language = "English",

volume = "55",

pages = "736--751",

journal = "Canadian Mathematical Bulletin",

issn = "0008-4395",

publisher = "Canadian Mathematical Society",

number = "4",

}

TY - JOUR

T1 - Existence of solutions for abstract non-autonomous neutral differential equations

AU - Hernández, Eduardo

AU - O'Regan, Donal

PY - 2012/12/1

Y1 - 2012/12/1

N2 - In this paper we discuss the existence of mild and classical solutions for a class of abstract non-autonomous neutral functional differential equations. An application to partial neutral differential equations is considered.

AB - In this paper we discuss the existence of mild and classical solutions for a class of abstract non-autonomous neutral functional differential equations. An application to partial neutral differential equations is considered.

KW - Classical solutions

KW - Mild solutions

KW - Neutral equations

UR - https://www.scopus.com/pages/publications/84871756835

U2 - 10.4153/CMB-2011-111-1

DO - 10.4153/CMB-2011-111-1

M3 - Article

SN - 0008-4395

VL - 55

SP - 736

EP - 751

JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

IS - 4

ER -

Existence of solutions for abstract non-autonomous neutral differential equations

Abstract

Keywords

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

Access to Document

Other files and links

Fingerprint

Cite this