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Electronic Journal of Qualitative Theory of Differential Equations
Article . 2016
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Sturm comparison theorems for some elliptic type equations via Picone-tpye inequalities

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2016 Turkey, Hungary Publisher:Bolyai Institute, SZTEJournal:Proceedings of The 10'th Colloquium on the Qualitative Theory of Differential Equations (July 1–4, 2015, Szeged, Hungary) edited by: T. Krisztin
Authors: Tiryaki, Aydin; Sahiner, Sinem; Misirli, Emine;

doi: 10.14232/ejqtde.2016.8.23

handle: 11454/53278

Sturm comparison theorems for some elliptic type equations via Picone-tpye inequalities

Abstract

Sturm theorems have appeared as one of the fundamental subjects in qualitative theory to determine properties of the solutions of differential equations. Motivated by some recent developments for half-linear type elliptic equations, we obtain Picone-type inequalities for two pairs of elliptic type equations with damping and external terms in order to establish Sturmian comparison theorems. Some oscillation results are given as applications.

Countries
Turkey, Hungary
Related Organizations
Keywords

half-linear equations, QA Mathematics / matematika, sturm theory, Sturm theory, elliptic equations, QA1-939, Picone's inequality, oscillation, picone's inequality, Mathematics

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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!
1
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