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Eurasian Mathematical Journal, 2015, том 6, номер 1, страницы 85–95
(Mi emj186)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Sturm comparison theorems for half-linear equations with a damping term
R. Oinarova, Kh. Ramazanovaa, A. Tiryakib a Department of Fundamental Mathematics, Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University,
2 Satpaev St., 010008 Astana, Kazakhstan
b Department of Mathematics and Computer Sciences,
Faculty of Arts and Sciences, Izmir University,
35350 Uckuyular, Izmir, Turkey
Аннотация:
In this paper, first we establish a Picone-type inequality for a pair of half-linear equations with a damping term. Next we prove some Sturm-type comparison theorems via the Picone-type inequality.
Ключевые слова и фразы:
half-linear equations, Picone’s inequality, Wirtinger’s inequality, Sturm’s comparison principle.
Поступила в редакцию: 27.03.2015
Образец цитирования:
R. Oinarov, Kh. Ramazanova, A. Tiryaki, “Sturm comparison theorems for half-linear equations with a damping term”, Eurasian Math. J., 6:1 (2015), 85–95
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj186 https://www.mathnet.ru/rus/emj/v6/i1/p85
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