OSCILLATION BEHAVIOR OF SECOND ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS

被引：26
作者：
Elabbasy, Elmetwally M. [1 ]
Hassan, T. S. [1 ]
Moaaz, O. [1 ]
机构：
[1] Mansoura Univ, Dept Math, Fac Sci, Mansoura, Egypt
来源：
OPUSCULA MATHEMATICA | 2012年 / 32卷 / 04期
关键词：
oscillation; second order; neutral differential equations; deviating arguments;
D O I：
10.7494/OpMath.2012.32.4.719
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Oscillation criteria are established for second order nonlinear neutral differential equations with deviating arguments of the form r (t) Psi(x(t))vertical bar(alpha-1) z' (t) + integral(b)(a) q(t,epsilon) f(x(g(t,Psi(g(t,Psi))do (epsilon) = 0,t >= to, where alpha > 0 and z (t) = x t) + p (t) x (t - T). Our results improve and extend some known results in the literature. Some illustrating examples are also provided to show the importance of our results.
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收藏
页码：719 / 730
页数：12
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