Oscillatory behavior of second order nonlinear neutral differential equations with distributed deviating arguments

被引：20

作者：

Candan, T. ^{[1
]}

机构：

[1] Nigde Univ, Fac Arts & Sci, Dept Math, TR-51200 Nigde, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 262卷

关键词：

Distributed delay; Neutral differential equations; Oscillations;

D O I：

10.1016/j.amc.2015.03.134

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we shall consider second order nonlinear neutral differential equation of certain type. Some oscillation criteria are established for second-order neutral differential equation of the form [r(t)z'(t)(gamma-1)z'(t)]' + integral(d)(c) f(t,x(sigma(t,xi)))d xi = 0 where z(t) = x(t) + integral(b)(a)p(t,xi)x(tau(t,xi))d xi. An example is given to show the applicability of our results.

引用

页码：199 / 203

页数：5

共 9 条

[1]

[Anonymous], 2000, OSCILLATION THEORY D, DOI DOI 10.1007/978-94-015-9401-1

[2]

Bainov D.D., 1991, Oscillation theory for neutral differential equations with delay

[3] On the oscillation of certain mixed neutral equations [J].

Candan, T. ;

Dahiya, R. S. .

APPLIED MATHEMATICS LETTERS, 2008, 21 (03) :222-226

[4] Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments [J].

Dong, Jiu-Gang .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (12) :3710-3717

[5] Oscillation criteria for second-order delay differential equations [J].

Dzurina, J ;

Stavroulakis, IP .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 140 (2-3) :445-453

[6]

Erbe L., 1995, Oscillation theory for functional differential equations, DOI DOI 10.1201/9780203744727

[7]

Gyori I., 1991, Oscillation theory of delay differential equations with applications

[8]

Ladde G. S., 1987, OSCILLATION THEORY D

[9] Note on the paper of Dzurina and Stavroulakis [J].

Sun, YG ;

Meng, FW .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 174 (02) :1634-1641

← 1 →