OSCILLATION OF SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH A DAMPING TERM

被引：0

作者：

Elabbasy, Elmetwally M. ^{[1
]}

Hassan, Taher S. ^{[1
]}

Saker, Samir H. ^{[1
]}

机构：

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

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年

关键词：

Oscillation; second order nonlinear differential equation; damping term;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the oscillation of solutions to the differential equation (r(t)x'(t))' + p(t)x'(t) + q(t)g(x(t)) = 0, where xg(x) > 0 for all x not equal 0, r(t) > 0 for t >= t(0) > 0. No sign conditions are imposed on p(t) and q(t). Our results solve the open problem posed by Rogovchenko [27], complement the results in Sun [29], and improve a number of existing oscillation criteria. Our main results are illustrated with examples.

引用

页数：13

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