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.

引用

页码：719 / 730

页数：12

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