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A representation theorem for the linear quasi-differential equation ( p y ′ ) ′ + q y = 0

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  • J. G. O'Hara

Abstract

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

Suggested Citation

  • J. G. O'Hara, 2000. "A representation theorem for the linear quasi-differential equation ( p y ′ ) ′ + q y = 0," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 23, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:894502
    DOI: 10.1155/S016117120000199X
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