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Eurasian Mathematical Journal, 2015, Volume 6, Number 1, Pages 85–95 (Mi emj186)  
This article is cited in 2 scientific papers (total in 2 papers)

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
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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.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 1067/GF3
This work was supported by the Scintific Commitee of the Ministry of Education and Science of Kazakhstan, Grant No. 1067/GF3 on the priority area "Intellectual potential of the country".
Received: 27.03.2015
Bibliographic databases:
Document Type: Article
MSC: 34C10
Language: English
Citation: 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
Citation in format AMSBIB
\Bibitem{OinRamTir15}
\by R.~Oinarov, Kh.~Ramazanova, A.~Tiryaki
\paper Sturm comparison theorems for half-linear equations with a damping term
\jour Eurasian Math. J.
\yr 2015
\vol 6
\issue 1
\pages 85--95
\mathnet{http://mi.mathnet.ru/emj186}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000374499100007}
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  • https://www.mathnet.ru/eng/emj186
  • https://www.mathnet.ru/eng/emj/v6/i1/p85
    • This publication is cited in the following 2 articles:
    1. J. Sugie, K. Ishibashi, “Integral condition for oscillation of half-linear differential equations with damping”, Appl. Math. Lett., 79 (2018), 146–154  crossref  mathscinet  isi  scopus
    2. A. Ozbekler, “Sturmian comparison theory for half-linear and nonlinear differential equations via Picone identity”, Math. Meth. Appl. Sci., 40:8 (2017), 3100–3110  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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