Sturm comparison theorems for some elliptic type equations via Picone-tpye inequalities
Bildiriler > Tam Metin Bildiri
Yazarlar: Aydin Tiryaki, Sinem Şahiner, Emine MISIRLI
Proceedings of The 10'th Colloquium on the Qualitative Theory of Differential Equations (July 1–4, 2015, Szeged, Hungary) edited by: T. Krisztin, , , Uluslararası, Tam Metin Bildiri, ss 1-20
DOI: 10.14232/ejqtde.2016.8.23
Özet
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.