Method of upper and lower solutions for second-order impulsive integro-differential equations in a Banach space

Authors
Liu, XZ Guo, DJ
Citation
Xz. Liu et Dj. Guo, Method of upper and lower solutions for second-order impulsive integro-differential equations in a Banach space, COMPUT MATH, 38(3-4), 1999, pp. 213-223
Citations number
4
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
38
Issue
3-4
Year of publication
1999
Pages
213 - 223
Database
ISI
SICI code
0898-1221(199908)38:3-4<213:MOUALS>2.0.ZU;2-R
Abstract
This paper discusses the initial value problem for second-order nonlinear i mpulsive integro-differential equations of Volterra type in a Banach space by means of upper and lower solutions. By establishing a comparison result, criteria on the existence of maximal and minimal solutions are obtained. ( C) 1999 Elsevier Science Ltd. All rights reserved.