A representation theorem for the linear quasi-differential equation (py′)′+qy=0

We establish a representation for q in the second-order linear quasi-differential equation (py′)′+qy=0. We give a number of applications, including a simple proof of Sturm's comparison theorem.

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Bibliographic Details
Main Author: J. G. O'Hara
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S016117120000199X
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