Existence results for semilinear neutral functional differential inclusions via analytic semigroups

S. K. Ntouyas; D. O'Regan

doi:10.1007/s10440-007-9157-3

Existence results for semilinear neutral functional differential inclusions via analytic semigroups

S. K. Ntouyas
, D. O'Regan

Mathematics

University of Ioannina

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

10 Citations (Scopus)

Abstract

In this paper we prove existence results for semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.

Original language	English
Pages (from-to)	223-253
Number of pages	31
Journal	Acta Applicandae Mathematicae
Volume	98
Issue number	3
DOIs	https://doi.org/10.1007/s10440-007-9157-3
Publication status	Published - 1 Sep 2007

Keywords

Analytic semigroups
Cosine families
Fixed point
Integrated semigroups
Semilinear neutral functional differential inclusions

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

Authors
Ntouyas, SK;O'Regan, D

Access to Document

10.1007/s10440-007-9157-3

Cite this

@article{e7485bacca674706b314797ca071b906,

title = "Existence results for semilinear neutral functional differential inclusions via analytic semigroups",

abstract = "In this paper we prove existence results for semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.",

keywords = "Analytic semigroups, Cosine families, Fixed point, Integrated semigroups, Semilinear neutral functional differential inclusions",

author = "Ntouyas, \{S. K.\} and D. O'Regan",

year = "2007",

month = sep,

day = "1",

doi = "10.1007/s10440-007-9157-3",

language = "English",

volume = "98",

pages = "223--253",

journal = "Acta Applicandae Mathematicae",

issn = "0167-8019",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - Existence results for semilinear neutral functional differential inclusions via analytic semigroups

AU - Ntouyas, S. K.

AU - O'Regan, D.

PY - 2007/9/1

Y1 - 2007/9/1

N2 - In this paper we prove existence results for semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.

AB - In this paper we prove existence results for semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.

KW - Analytic semigroups

KW - Cosine families

KW - Fixed point

KW - Integrated semigroups

KW - Semilinear neutral functional differential inclusions

UR - https://www.scopus.com/pages/publications/34548506999

U2 - 10.1007/s10440-007-9157-3

DO - 10.1007/s10440-007-9157-3

M3 - Article

SN - 0167-8019

VL - 98

SP - 223

EP - 253

JO - Acta Applicandae Mathematicae

JF - Acta Applicandae Mathematicae

IS - 3

ER -

Existence results for semilinear neutral functional differential inclusions via analytic semigroups

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