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Electronic Journal of Qualitative Theory of Differential Equations
Article . 2014 . Peer-reviewed
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Sturm comparison theorems via Picone-type inequalities for some nonlinear elliptic type equations with damped terms

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 Hungary Publisher:University of SzegedJournal:Electronic Journal of Qualitative Theory of Differential Equations (eissn: 1417-3875, Copyright policy )
Authors: Tiryaki, A.; Sahiner, Sinem;

doi: 10.14232/ejqtde.2014.1.46

Sturm comparison theorems via Picone-type inequalities for some nonlinear elliptic type equations with damped terms

Abstract

In this paper, we establish a Picone-type inequality for a class of some nonlinear elliptic type equations with damped terms, and obtain Sturmian comparison theorems using the Picone-type inequality. As an application by using comparison theorem oscillation result and Wirtinger-type inequality are given.

Country
Hungary
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Keywords

half-linear equations, QA Mathematics / matematika, elliptic equations, QA1-939, wirtinger-type inequality, oscillation criteria, picone-type inequality, Mathematics, sobolev space

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
gold