On the Green function of Sturm-Liouville differential equation with normal operator coefficient.
Uslu, Serpil Öztürk, Bayramoğlu, Mehmet (2005)
APPS. Applied Sciences
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Displaying similar documents to “A note on a generalization of the Sturm-Picone theorem”
On the Green function of Sturm-Liouville differential equation with normal operator coefficient.
Some integral inequalities of Sturm-Liouville type
B. Florkiewicz, A. Rybarski (1976)
Colloquium Mathematicae
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Positive product formulas and hypergroups associated with singular Sturm-Liouville problems on a compact interval
William C. Connett, Alan L. Schwartz (1990)
Colloquium Mathematicae
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Some remarks about the complete integrability in the sense of Arnold-Liouville.
Lăzureanu, Cristian (1997)
General Mathematics
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A simple proof of the spectral continuity of the Sturm-Liouville problem
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.
Introduction to Liouville Numbers
Adam Grabowski, Artur Korniłowicz (2017)
Formalized Mathematics
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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....
Asypmtotic formulas of eigenvalues and eigenfucntions on non-autonomous semilinear Sturm-Liouville problems.
Tetsutaro Shibata (1995)
Mathematische Zeitschrift
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Accurate computation of higher Sturm-Liouville eigenvalues.
G. Vanden Berghe, H. De Meyer (1991)
Numerische Mathematik
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A note on the pseudorandomness of the Liouville function
Huaning Liu, Wenguang Zhai (2009)
Acta Arithmetica
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The Sturm-Liouville Friedrichs extension
Siqin Yao, Jiong Sun, Anton Zettl (2015)
Applications of Mathematics
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The characterization of the domain of the Friedrichs extension as a restriction of the maximal domain is well known. It depends on principal solutions. Here we establish a characterization as an extension of the minimal domain. Our proof is different and closer in spirit to the Friedrichs construction. It starts with the assumption that the minimal operator is bounded below and does not directly use oscillation theory.