有强迫项的二阶半线性微分方程新的区间振动准则

数学季刊 ›› 2009, Vol. 24 ›› Issue (2): 223-226.

有强迫项的二阶半线性微分方程新的区间振动准则

1. Department of Applied Mathematics, Nanyang Institute of Technology2. Yongcheng Vocational College3. Department of Mathematics, Zhengzhou Education College

收稿日期:2006-09-09 出版日期:2009-06-30 发布日期:2023-07-20
作者简介:WANG Xi-ping(1965-), male, native of Nanyang, Henan, a lecturer of Nanyang Institute of Technology, engages in probability, statistics and differential equations.
基金资助:

New Interval Oscillation Criteria for Forced Second-order Half-linear Differential Equations

1. Department of Applied Mathematics, Nanyang Institute of Technology2. Yongcheng Vocational College3. Department of Mathematics, Zhengzhou Education College

Received:2006-09-09 Online:2009-06-30 Published:2023-07-20
About author:WANG Xi-ping(1965-), male, native of Nanyang, Henan, a lecturer of Nanyang Institute of Technology, engages in probability, statistics and differential equations.

摘要/Abstract

摘要： This paper discusses a class of forced second-order half-linear differential equations. By using the generalized Riccati technique and the averaging technique, some new interval oscillation criteria are obtained.

关键词: second-order half-linear differential equations, oscillation, interval criteria, forcing term, generalized Riccati technique

Abstract: This paper discusses a class of forced second-order half-linear differential equations. By using the generalized Riccati technique and the averaging technique, some new interval oscillation criteria are obtained.

Key words: second-order half-linear differential equations, oscillation, interval criteria, forcing term, generalized Riccati technique

中图分类号:

O175.7

王喜平, 陈琼, 徐继军. 有强迫项的二阶半线性微分方程新的区间振动准则[J]. 数学季刊, 2009, 24(2): 223-226.

WANG Xi-ping, CHEN Qiong, XU Ji-jun. New Interval Oscillation Criteria for Forced Second-order Half-linear Differential Equations[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 223-226.

[1]	杨甲山. 时间测度链上三阶时滞动力方程的振动性[J]. 数学季刊, 2014, 29(3): 447-456.
[2]	黄先勇, 徐志庭. 一类二阶脉冲中立型微分方程的振动性质[J]. 数学季刊, 2013, 28(4): 592-604.
[3]	张丰盘, 路金瑞, 刘志广. 由microRAN介导的具有时滞负反馈环的基因振荡表达[J]. 数学季刊, 2013, 28(2): 303-310.
[4]	杨甲山. 时间测度链上二阶非线性动力方程的振动性[J]. 数学季刊, 2013, 28(2): 172-179.
[5]	洪鹏花, 翁佩萱. 个离散造血模型概周期解的吸引性和振动性[J]. 数学季刊, 2013, 28(1): 20-26.
[6]	张蒙, 宋国华. 具有连续分布偏差变元的双曲型微分方程振动准则的进一步结果[J]. 数学季刊, 2012, 27(1): 145-151.
[7]	杨甲山, 孙文兵. 具有可变时滞的二阶非线性差分方程的有界振动性[J]. 数学季刊, 2011, 26(4): 516-520.
[8]	杨军, 吴会宁. 时标上具有正负系数的中立型时超动力方程的强迫振动[J]. 数学季刊, 2011, 26(3): 466-469.
[9]	李元旦, 罗李平, 俞元洪. 具连续分布变元的向量抛物型方程振动性的新准则[J]. 数学季刊, 2011, 26(2): 260-264.
[10]	张伟鹏, 朱德明. 一类二阶非线性微分方程的区间振动准则[J]. 数学季刊, 2010, 25(4): 500-509.
[11]	陈星荣, 潘立军. 带阻尼的二阶半线性脉冲微分方程的振动准则[J]. 数学季刊, 2009, 24(4): 614-620.
[12]	林文贤 . 一类高阶中立型偏微分方程系统振动性的注记[J]. 数学季刊, 2009, 24(4): 537-542.
[13]	罗李平, 彭白玉, 欧阳自根. 非线性脉冲时滞双曲型偏微分方程的振动性[J]. 数学季刊, 2009, 24(3): 439-444.
[14]	谭琼华, 陈明. 一类变时滞差分方程的振动性[J]. 数学季刊, 2009, 24(1): 87-93.
[15]	罗李平. 一类具连续分布滞量的非线性中立型偏微分方程解的振动性[J]. 数学季刊, 2008, 23(1): 67-74.