Existence of solutions of nonlinear neutral integrodifferential equations in Banach spaces

Citation
Jp. Dauer et K. Balachandran, Existence of solutions of nonlinear neutral integrodifferential equations in Banach spaces, J MATH ANAL, 251(1), 2000, pp. 93-105
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
251
Issue
1
Year of publication
2000
Pages
93 - 105
Database
ISI
SICI code
0022-247X(20001101)251:1<93:EOSONN>2.0.ZU;2-P
Abstract
In this paper we prove the existence of mild solutions of a nonlinear neutr al integrodifferential equation in a Banach space. The results are obtained by using the Schaefer fixed point theorem. As an application the controlla bility problem for the neutral system is discussed. (C) 2000 Academic Press .