R. Oinarov, Kh. Ramazanova, A. Tiryaki, “Sturm comparison theorems for half-linear equations with a damping term”, Eurasian Math. J., 2015, Volume 6, Number 1,Pages <nobr>85

This article is cited in 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