OSCILLATORY BEHAVIOR OF A CERTAIN CLASS OF SECOND-ORDER NONLINEAR PERTURBED DYNAMIC EQUATIONS ON TIME SCALES

被引：2

作者：

Saker, Samir H. ^{[1
,2
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2010年 / 47卷 / 04期

关键词：

oscillation; perturbed dynamic equations; time scale; CRITERIA; BOUNDEDNESS;

D O I：

10.4134/JKMS.2010.47.4.659

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the asymptotic behavior of solutions of the second-order nonlinear perturbed dynamic equation (r(t)x(Delta) (t))(Delta) + F(t, x(sigma))) = G (t, x(sigma), (x(Delta))(sigma)) on a time scale T. By using a new technique we establish some sufficient conditions which ensure that every solution oscillates or converges to zero. Our results improve the known oscillation results on the literature for the perturbed dynamic equations on time scales. Some examples illustrating our main results are given.

引用

页码：659 / 674

页数：16

共 23 条

[1]

Agarwal R, 2002, MIS QUART, V1, P1

[2]

Agarwal R.P., 2005, Can. Appl. Math. Quart, V13, P1

[3] Oscillation criteria for second-order nonlinear neutral delay dynamic equations [J].