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Quasi-additive solutions of nonlinear differential equations

Part of: General theory in ordinary differential equations

Published online by Cambridge University Press:  09 April 2009

A. S. Jones
A. S. Jones
Affiliation:
Department of Mathematics, University of Queensland, St. Lucia 4067, Australia
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Abstract

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Some nonlinear second order ordinary differential equations have solutions which can be represented as sums of solutions of related equations. This paper classifies the equations for which this is possible and derives the corresponding forms.

MSC classification

Secondary: 34A25: Analytical theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 42 , Issue 1 , February 1987 , pp. 92 - 116
Copyright
Copyright © Australian Mathematical Society 1987

References

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