The non-local cauchy problem for semilinear integrodifferential equations with deviating argument

Authors
Balachandran, K Chandrasekaran, M
Citation
K. Balachandran et M. Chandrasekaran, The non-local cauchy problem for semilinear integrodifferential equations with deviating argument, P EDIN MATH, 44, 2001, pp. 63-70
Citations number
18
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
ISSN journal
00130915 → ACNP
Volume
44
Year of publication
2001
Part
1
Pages
63 - 70
Database
ISI
SICI code
0013-0915(200102)44:<63:TNCPFS>2.0.ZU;2-0
Abstract
The aim of this paper is to prove the existence and uniqueness of mild and classical solutions of the non-local Cauchy problem for a semilinear integr odifferential equation with deviating argument. The results are established by using the method of semigroups and the contraction mapping principle. T he paper generalizes certain results of Lin and Liu.