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.