Oscillation of even order nonlinear delay dynamic equations on time scales

被引：0
作者：
Lynn Erbe
Raziye Mert
Allan Peterson
Ağacık Zafer
机构：
[1] University of Nebraska-Lincoln,Department of Mathematics
[2] Čankaya University,Department of Mathematics and Computer Science
[3] Middle East Technical University,Department of Mathematics
来源：
Czechoslovak Mathematical Journal | 2013年 / 63卷
关键词：
time scale; even order; delay; oscillation; Taylor monomial; 34K11; 39A10; 39A99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
One of the important methods for studying the oscillation of higher order differential equations is to make a comparison with second order differential equations. The method involves using Taylor’s Formula. In this paper we show how such a method can be used for a class of even order delay dynamic equations on time scales via comparison with second order dynamic inequalities. In particular, it is shown that nonexistence of an eventually positive solution of a certain second order delay dynamic inequality is sufficient for oscillation of even order dynamic equations on time scales. The arguments are based on Taylor monomials on time scales.
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页码：265 / 279
页数：14
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