超线性二阶微分方程的振动准则

数学季刊 ›› 1997, Vol. 12 ›› Issue (3): 1-6.

• • 下一篇

超线性二阶微分方程的振动准则

Center University of Finance and Economic,Beijing,100081；Institute of Applied Mathematics,Academia Sinica,Beijing,100080

收稿日期:1993-04-17 出版日期:1997-09-30 发布日期:2024-11-20
基金资助:
The Project Supported by the Natural Science Foundaion of China.

An Oscillation Criterion for Second Order Superlinear Differential Equations#br#

Center University of Finance and Economic,Beijing,100081；Institute of Applied Mathematics,Academia Sinica,Beijing,100080

Received:1993-04-17 Online:1997-09-30 Published:2024-11-20
Supported by:
The Project Supported by the Natural Science Foundaion of China.

摘要/Abstract

摘要： A new criterion is established for the oscillation of second order superlinear ordinary differential equations of the formx″(t)+ p(t)x′(t) + q(t)｜x(t)｜αsgnx(t) = 0, t ≥ t₀,where α>1,p and q are continuous functions on [t₀,∞). This criterion extends and unifies some　of the results obtained in [1]- [5].

关键词: , superlinearity, oscillation criterion, second order differential equation ,

Abstract: A new criterion is established for the oscillation of second order superlinear ordinary differential equations of the formx″(t)+ p(t)x′(t) + q(t)｜x(t)｜αsgnx(t) = 0, t ≥ t₀,where α>1,p and q are continuous functions on [t₀,∞). This criterion extends and unifies some　of the results obtained in [1]- [5].

Key words: , superlinearity, oscillation criterion, second order differential equation ,

中图分类号:

O175

陈文灯, 俞元洪 . 超线性二阶微分方程的振动准则[J]. 数学季刊, 1997, 12(3): 1-6.

Chen Wendeng, Yu Yuanhong. An Oscillation Criterion for Second Order Superlinear Differential Equations#br#[J]. Chinese Quarterly Journal of Mathematics, 1997, 12(3): 1-6.

[1]	裴柯柯, 龙品红, 刘金林, 甘加达兰穆鲁古桑德拉姆斯. 涉及 q-微分积分算子的某些解析函数类的 Fekete-Szegö 不等式与对称Toeplitz 行列式[J]. 数学季刊, 2024, 39(4): 366-378.
[2]	林奕武. Orbifold 基本群和 Deck 变换群[J]. 数学季刊, 2022, 37(2): 147-161.
[3]	陈叔瑾. 在 Stein 流形中有界域的解析簇上积分表示及其应用[J]. 数学季刊, 2021, 36(4): 331-355.
[4]	陈雪姣, 李远飞. Forchheimer 方程组的 Phragmén-Lindelöf 二择一结果[J]. 数学季刊, 2021, 36(4): 395-404.
[5]	李鸿军. 局部共形拟 Kähler Finsler 流形[J]. 数学季刊, 2021, 36(3): 244-251.
[6]	周久儒. 具有加权p-Poincaré不等式的光滑测度空间上的消灭定理[J]. 数学季刊, 2020, 35(3): 311-319.
[7]	郑治波, 张利萍, 郝晓红, 刘国旗, 孙江洁. 带有非线性项不可压Navier-Stokes方程整体性吸引子的存在性 [J]. 数学季刊, 2020, 35(1): 93-110.
[8]	胡彩华, 李锋杰, 王千喜. 具有一般非线性耦合项的抛物型方程组的爆破时间估计 [J]. 数学季刊, 2020, 35(1): 77-92.
[9]	王亚敏, 赛朋飞. b₂-度量空间中一对广义循环收缩映射的公共不动点定理 [J]. 数学季刊, 2020, 35(1): 63-76.
[10]	薛琳, 张之正. 带有二项式系数的广义Fibonacci和Lucas数一个结果的拓广[J]. 数学季刊, 2020, 35(1): 56-62.
[11]	刘讲军, 曲桢, 胡钢. 一类不确定薛定谔基尔霍夫方程解的存在性和集中性 [J]. 数学季刊, 2020, 35(1): 46-55.
[12]	陈玉松, 常荷洁. 一类不确定薛定谔基尔霍夫方程解的存在性和集中性[J]. 数学季刊, 2020, 35(1): 37-45.
[13]	黎景辉, 梁志斌. 楼与群I[J]. 数学季刊, 2020, 35(1): 1-28.
[14]	彭宅铭 , 谷勤勤 , 张蕊蕊 . 幺半群上的强α-自反环[J]. 数学季刊, 2018, 33(3): 260-271.
[15]	杨朝强. 混合跳-扩散模型下美式浮动履约回望期权的临界实施价格[J]. 数学季刊, 2018, 33(3): 240-259.

超线性二阶微分方程的振动准则

An Oscillation Criterion for Second Order Superlinear Differential Equations#br#

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价