Using Schauder's fixed point theorem, we prove an existence theorem for Volterra integrodifferential equations with infinite delay. As an appplication, we consider an n species Lotka-Volterra competitive system.
Submitted October 21, 2002. Published January 7, 2003.
Math Subject Classifications: 45J05, 45K05.
Key Words: Volterra integrodifferential equation, Schauder fixed point theorem, competitive systems.
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|Ferenc Izsak |
Department of Applied Analysis
Lorand Eotvos University
H-1518 Budapest, PO Box 120, Hungary
Faculty of Mathematical Sciences
Universtity of Twente
PO Box 217, 7500 AE Enschede, The Netherlands.
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