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二阶非线性微分方程的振动与非振动准则
引用本文:张云秋.二阶非线性微分方程的振动与非振动准则[J].延边大学理工学报,2005,31(4):249-252.
作者姓名:张云秋
作者单位:延边大学工学院计算机科学与技术系,吉林延吉133002
摘    要:讨论拟线性微分方程φp(x′)]′+q(t)φp(x)=0, t≥t0, q(t)≥0 (φp(u)=up-1u, p〉0是常数)的解的振动与非振动条件,推广了文献1](Elbert A. Oscillation/nonoscillation criteria for linear second order differential equationsJ]. J Math Anal Appl, 1998,226:207-219.)和文献2](Yang Xian-jing. Oscillation and nonoscillation for a class of quasilinear differential equations of second orderJ]. J Acta Mathematica Sinica, 2001,44(2):311-318.)的结论.

关 键 词:拟线性方程  振动  非振动
文章编号:1004-4353(2005)04-0249-04
收稿时间:2005-07-21
修稿时间:2005年7月21日

Oscillation and nonoscillation for quasilinear differential equations of second order
ZHANG Yun-qiu.Oscillation and nonoscillation for quasilinear differential equations of second order[J].Journal of Yanbian University (Natural Science),2005,31(4):249-252.
Authors:ZHANG Yun-qiu
Affiliation:Department of Computer Science and Technology, College of Engineering, Yanbian University, Yanji 133002, China
Abstract:
Keywords:quasilinear equations  oscillation  nonoscillation
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