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A classification of the solutions of a differential equation according to their behaviour at infinity, II

Published online by Cambridge University Press:  14 November 2011

Uri Elias
Affiliation:
Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israel

Synopsis

The solutions of the differential equation Lny + p(×)y = 0, where Ln is a disconjugate operator, are classified according to their behaviour as × →∞. The solution space is decomposed into disjoint sets. We study the dominance properties of the solutions which belong to different sets.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1985

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