The aim of this article is to give Sturm-Picone type theorems for the pair of second-order nonlinear differential equations
in both regular and singular cases. Our results include some earlier results and generalize the well-known comparison theorems given by Sturm , Picone  and Leighton  which play a key role in the qualitative behaviour of the solutions.
Submitted March 5, 2014. Published June 20, 2014.
Math Subject Classifications: 34C10, 34C15.
Key Words: Comparison theorem; Sturm-Picone theorem; half-linear; second order differential equations; singular equation; variational lemma.
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| Aydin Tiryaki |
Department of Mathematics and Computer Sciences
Faculty of Arts and Sciences, Izmir University
35350 Uckuyular, Izmir, Turkey
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