Aydin Tiryaki
Abstract:
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 [19], Picone [18] and Leighton [5] 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 email: aydin.tiryaki@izmir.edu.tr |
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