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Existence results for differential equations with reflection of the argument

Part of: Functional-differential and differential-difference equations General theory in ordinary differential equations Boundary value problems

Published online by Cambridge University Press:  09 April 2009

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

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Existence 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 existence results are deduced for certain classes of first and second order equations with reflection of the argument.

MSC classification

Secondary: 34A12: Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions 34B15: Nonlinear boundary value problems 34K05: General theory 34K10: Boundary value problems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 57 , Issue 2 , October 1994 , pp. 237 - 260
Copyright
Copyright © Australian Mathematical Society 1994

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