An existence theorem for Volterra integrodifferential equations with infinite delay
Electronic journal of differential equations, Tome 2003 (2003)
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.
Classification : 45J05, 45K05
Keywords: Volterra integrodifferential equation, Schauder fixed point theorem, competitive systems
@article{EJDE_2003__2003__a154,
     author = {Izs\'ak,  Ferenc},
     title = {An existence theorem for {Volterra} integrodifferential equations with infinite delay},
     journal = {Electronic journal of differential equations},
     year = {2003},
     volume = {2003},
     zbl = {1019.45005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a154/}
}
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Izsák,  Ferenc. An existence theorem for Volterra integrodifferential equations with infinite delay. Electronic journal of differential equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a154/