Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations.
Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations.
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发表时间：
2007
影响因子：
1.3
通讯作者：
E. Akın;S. Saker;M. Bohner
中科院分区：
文献类型：
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作者：
E. Akın;S. Saker;M. Bohner
利用Riccati变换技巧建立了时标上二阶Emden-Fowler动力学方程的振动准则。这样的方程包含经典的Emden-Fowler方程以及它们的离散对应物。本文将Atkinson（在超线性情形）和Belohorec（在次线性情形）的经典振动性结果推广到任意时标的Emden-Fowler动力学方程。
By means of Riccati transformation techniques we establish some oscillation criteria for the second order Emden–Fowler dynamic equation on a time scale. Such equations contain the classical Emden–Fowler equation as well as their discrete counterparts. The classical oscillation results of Atkinson (in the superlinear case) and Belohorec (in the sublinear case) are extended in this paper to Emden–Fowler dynamic equations on any time scale.