In this article, we establish a Picone-type inequality for a pair of first-order nonlinear differential systems. By using this inequality, we give Sturm-Picone type comparison theorems for these systems and a special class of second-order half-linear equations with damping term.
Submitted March 10, 2015. Published June 11, 2015.
Math Subject Classifications: 34C10, 34C15.
Key Words: Comparison theorem; Sturm-Picone theorem; half-linear equations; nonlinear differential systems.
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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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