OSCILLATION CRITERIA FOR SECOND-ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS OF MIXED TYPE

被引：0
|
作者：
Thandapani, Ethiraju [1 ]
Rama, Renu [1 ]
机构：
[1] Univ Madras, Ramanujan Inst Adv Study Math, Madras 600005, Tamil Nadu, India
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2012年 / 75期
关键词：
Neutral differential equations; mixed type; comparison theorems; oscillation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some oscillation criteria are established for the second order nonlinear neutral differential equations of the form ((x(t) + ax(t - tau(1)) - bx(t + tau(2)))(alpha))'' = q(t)x(beta)(t - sigma(1)) + p(t)x(beta)(t + sigma(2)), and (x(t) - ax(t - tau(1)) + bx(t + tau(2))(alpha))'' = q(t)x(beta)(t - sigma(1)) + p(t)x(beta)(t + sigma(2)) where alpha and beta are the ratios of odd positive integers with beta >= 1. Examples are provided to illustrate the main results.
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页码：1 / 16
页数：16
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