Oscillation criteria for a class of nonlinear fourth order neutral differential equations

被引：6
|
作者：
Tripathy, A. K. [1 ]
机构：
[1] Sambalpur Univ, Dept Math, Sambalpur 768019, India
来源：
MATHEMATICA SLOVACA | 2013年 / 63卷 / 02期
关键词：
oscillation; non-oscillation; nonlinear; neutral mixed differential equations;
D O I：
10.2478/s12175-012-0096-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, sufficient conditions are obtained for oscillation of a class of nonlinear fourth order mixed neutral differential equations of the form (1/a(t)((y(t) + p(t)y(t-tau))'')(alpha))'' = q(t)f(y(t-sigma(1))) + r(t)g(y(t + sigma(2))) (E) under the assumption integral(infinity)(0)(a(t))(1/alpha) dt = infinity. where alpha is a ratio of odd positive integers. (E) is studied for various ranges of p(t). (C) 2013 Mathematical Institute Slovak Academy of Sciences
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页码：243 / 262
页数：20
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