Eurasian Math. J., 2015 Volume 6, Number 1, Pages 85–95
(Mi emj186)
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2 papers
Sturm comparison theorems for half-linear equations with a damping term R. Oinarov a ,
Kh. Ramazanova a ,
A. Tiryaki b 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 Abstract:
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.
Keywords and phrases:
half-linear equations, Picone’s inequality, Wirtinger’s inequality, Sturm’s comparison principle.
MSC: 34C10 Received: 27.03.2015
Language: English
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