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Title: Comparison results for two-dimensional half-linear cyclic differential systems (English)
Author: Jaroš, Jaroslav
Author: Takaŝi, Kusano
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 53
Issue: 3
Year: 2017
Pages: 131-140
Summary lang: English
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Category: math
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Summary: Two identities of the Picone type for a class of half-linear differential systems in the plane are established and the Sturmian comparison theory for such systems is developed with the help of these new formulas. (English)
Keyword: half-linear differential systems
Keyword: Picone identity
Keyword: Sturmian comparison
MSC: 34C10
idZBL: Zbl 06819520
idMR: MR3708767
DOI: 10.5817/AM2017-3-131
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Date available: 2017-09-13T09:30:28Z
Last updated: 2020-01-05
Stable URL: http://hdl.handle.net/10338.dmlcz/146878
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Reference: [12] Picone, M.: Sui valori eccepzionali di un parametro da cui dipende un’ equazione differenziale ordinaria del secondordine.Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) II (1910), 1–141. MR 1556637
Reference: [13] Reid, W.T.: Sturmian Theory for Ordinary Differential Equations.Appl. Math. Sci., vol. 31, Springer, New York, 1980. Zbl 0459.34001, MR 0606199
Reference: [14] Rostás, K.: Comparison theorems for pseudoconjugate points of half-linear ordinary differentialequations of the second order.Acta Math. Univ. Comenian. (N.S.) 72 (2003), 223–228. MR 2040908
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