A note on a generalization of the Sturm-Picone theorem
Vadim Komkov (1978)
Colloquium Mathematicae
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Vadim Komkov (1978)
Colloquium Mathematicae
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Uslu, Serpil Öztürk, Bayramoğlu, Mehmet (2005)
APPS. Applied Sciences
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Bent Birkeland (1980)
Mathematica Scandinavica
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Takaŝi, Kusano, Naito, Manabu (1997)
Memoirs on Differential Equations and Mathematical Physics
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PrzemysŁaw Kosowski (1997)
Banach Center Publications
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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.
H.G. Kaper, M.K. Kwong, A. Zettl (1984)
Monatshefte für Mathematik
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Lăzureanu, Cristian (1997)
General Mathematics
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Tetsutaro Shibata (1995)
Mathematische Zeitschrift
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Adam Grabowski, Artur Korniłowicz (2017)
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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....
B. Florkiewicz, A. Rybarski (1976)
Colloquium Mathematicae
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Huaning Liu, Wenguang Zhai (2009)
Acta Arithmetica
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G. Vanden Berghe, H. De Meyer (1991)
Numerische Mathematik
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