Necessary and sufficient conditions for the oscillation of forced nonlinear second order differential equations with delayed argument

被引：24
|
作者：
Nasr, AH
机构：
[1] Department of Mathematics, Ain Shams Univ. College for Girls, Asma Fahmi Street, Heliopolis, Cairo
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1997年 / 212卷 / 01期
关键词：
D O I：
10.1006/jmaa.1997.5423
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a special class of the external force g(t) and nonnegative potential a(t), we give necessary and sufficient conditions for the oscillation of all solutions of a nonlinear second order forced differential equation with delayed argument of Emden-Fowler type in the form x ''(t) + a(t)\x(phi(t))\(nu) sgn x(phi(t)) = g(t) in the superlinear (nu > 1) and the sublinear cases (nu < 1). (C) 1997 Academic Press.
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页码：51 / 59
页数：9
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