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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 8, Pages 579-584
doi:10.1155/S016117120000199X

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

J.G. O'Hara

Department of Mathematics and Applied Mathematics, University of Durban-Westville, Private Bag X54001, Durban 4000, South Africa

Abstract

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.