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On the integrability of solutions of perturbed non-linear differential equations

Published online by Cambridge University Press:  14 February 2012

Paul W. Spikes
Paul W. Spikes
Affiliation:
Department of Mathematics, Mississippi State University
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Synopsis

Sufficient conditions are given to insure that all solutions of a perturbed non-linear second-order differential equation have certain integrability properties. In addition, some continuability and boundedness results are given for solutions of this equation.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 77 , Issue 3-4 , 1977 , pp. 309 - 318
Copyright
Copyright © Royal Society of Edinburgh 1977

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