A note on a generalization of the Sturm-Picone theorem
Vadim Komkov (1978)
Colloquium Mathematicae
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Displaying similar documents to “Positive product formulas and hypergroups associated with singular Sturm-Liouville problems on a compact interval”
A note on a generalization of the Sturm-Picone theorem
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The aim of this article is to present a simple proof of the theorem about perturbation of the Sturm-Liouville operator in Liouville normal form.
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The article defines Liouville numbers, originally introduced by Joseph Liouville in 1844 [17] as an example of an object which can be approximated “quite closely” by a sequence of rational numbers. A real number x is a Liouville number iff for every positive integer n, there exist integers p and q such that q > 1 and [...] It is easy to show that all Liouville numbers are irrational. Liouville constant, which is also defined formally, is the first transcendental (not algebraic) number....
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