Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 04, pp. 1-7.
Title: An existence theorem for Volterra integrodifferential
equations with infinite delay
Author: Ferenc Izsak (Lorand Eotvos Univ., Budapest, Hungary)
Abstract:
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.