J Austral Math Soc Ser A 57 pp237--260, 1994.

Existence Results for Differential Equations with Reflection of the Argument

Donal O'Regan

(Received 31 January 1992)

Abstract

Existance principles are given for systems of differential equations with reflection of the argument. These are derived using fixed point analysis, specifically the Nonlinear Alternative. Then existance results are deduced for certain classes of first and second order equations with reflection of the argument.

1991 AMS Subject Classification: 34A12, 34B15, 34K05, 34K10

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Authors

Donal O'Regan: Department of Mathematics, University College Galway, Galway, Ireland.

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Last Modified: Thu Jan 9 9:04:22 2003