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Minors of the Wronskian of the differential equation Lny + p(x)y = 0. II. Dominance of solutions

Published online by Cambridge University Press:  14 November 2011

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

The equation studied here is Lny + p(x)y = 0, where Ln is a disconjugate differential operator and p(x) is of a fixed sign. We define a basis of the solution space and order its elements according to their relative magnitudes near infinity. Our method is independent of the possible oscillation or nonoscillation of the solutions and it is achieved by utilising the fact that some minors of the Wronskian never vanish.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 108 , Issue 3-4 , 1988 , pp. 229 - 239
Copyright
Copyright © Royal Society of Edinburgh 1988

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