IJPAM: Volume 41, No. 4 (2007)
MODIFICATION OF WAZEWSKI'S THEOREM
FOR INTEGRO-DIFFERENTIAL EQUATIONS
FOR INTEGRO-DIFFERENTIAL EQUATIONS
Zdenek Šmarda
Department of Mathematics
Faculty of Electrical Engineering and Communication
Brno University of Technology
8, Technická, Brno, 616 00, CZECH REPUBLIC
e-mail: smarda@feec.vutbr.cz
Department of Mathematics
Faculty of Electrical Engineering and Communication
Brno University of Technology
8, Technická, Brno, 616 00, CZECH REPUBLIC
e-mail: smarda@feec.vutbr.cz
Abstract.This paper deals with a modification of Wazewski's Theorem as applied to initial value problems of integro-differential equations. It gives properly defined concepts of egress points, a left shadow for given equations and consequents of an initial point.
Received: October 10, 2007
AMS Subject Classification: 45J05
Key Words and Phrases: integro-differential equation, retract, egress point
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 41
Issue: 4
