New oscillation criteria for a class of second-order nonlinear forced differential equations

被引：10

作者：

Fangcui Jiang ^{[1
]}

Fanwei Meng

机构：

[1] Peking Univ, Dept Engn Sci & Mech, Ctr Syst & Control, Beijing 100871, Peoples R China

[2] Qufu Normal Univ, Dept Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 336卷 / 02期

关键词：

nonlinear; oscillation; forcing term; averaging technique;

D O I：

10.1016/j.jmaa.2007.02.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using classical variational principle and averaging technique, new oscillation criteria are established for second-order nonlinear forced differential equations [r(t) psi (x (t)) phi (x'(t))]'+ q (t) f (x (t)) = e (t), t >= t(0), where the functions r, q, e is an element of C ([t(0), infinity), R), and phi, psi, f is an element of C(R, R) improve and extend some recent results. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1476 / 1485

页数：10

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