Oscillation criteria for certain forced second-order nonlinear differential equations

被引：36
|
作者：
Çakmak, D
Tiryaki, A
机构：
[1] Gazi Univ, Fac Arts & Sci, Dept Math, TR-06500 Teknikokullar, Turkey
[2] Gazi Univ, Fac Educ, Dept Math Educ, TR-06500 Teknikokullar, Turkey
来源：
APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 03期
关键词：
oscillation; forced term; variational principle;
D O I：
10.1016/S0893-9659(04)90063-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, two new oscillation criteria for forced second-order nonlinear differential equations of the form (r(t)Psi(y(t)) \y'(t)\(alpha-1) y'(t))' + q(t)f(y(t)) = e(t), t greater than or equal to t(o), are established. Our results are based on the information on a sequence of subintervals of [t(o), infinity) only, rather than on the whole half-line. Our methodology is somewhat different from that of previous authors. The results presented here are much more general than a recent result of Li and Cheng [1]. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：275 / 279
页数：5
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