一类二阶非线性微分方程的区间振动准则

数学季刊 ›› 2010, Vol. 25 ›› Issue (4): 500-509.

一类二阶非线性微分方程的区间振动准则

1. School of Mathematics and Statistics, Northeast Normal University2. Department of Mathematics, East China Normal University

收稿日期:2005-12-26 出版日期:2010-12-30 发布日期:2023-05-17
作者简介:ZHANG Wei-peng(1978-), female, native of Xuchang, Henan, Ph.D., engages in differential equation.
基金资助:
Supported by Science Foundation for Young Teachers of Northeast Normal University(20080105)； Supported by NSFC(10926105； 11001041； 10971022)； Supported by SRFDP(200802001008)；

Interval Criteria for Oscillation of Certain Second-order Nonlinear Differential Equations

1. School of Mathematics and Statistics, Northeast Normal University2. Department of Mathematics, East China Normal University

Received:2005-12-26 Online:2010-12-30 Published:2023-05-17
About author:ZHANG Wei-peng(1978-), female, native of Xuchang, Henan, Ph.D., engages in differential equation.
Supported by:
Supported by Science Foundation for Young Teachers of Northeast Normal University(20080105)； Supported by NSFC(10926105； 11001041； 10971022)； Supported by SRFDP(200802001008)；

摘要/Abstract

摘要： The main desire of this paper is to present several new interval oscillation criteria related to a generalized Riccati technique for certain second-order nonlinear differential equations. Our results extend some known equations. Finally, several examples illustrate the effectiveness of our results.

关键词: interval oscillation criteria, nonlinear differential equations, Riccati technique

Abstract: The main desire of this paper is to present several new interval oscillation criteria related to a generalized Riccati technique for certain second-order nonlinear differential equations. Our results extend some known equations. Finally, several examples illustrate the effectiveness of our results.

Key words: interval oscillation criteria, nonlinear differential equations, Riccati technique

中图分类号:

O175.1

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.

ZHANG Wei-peng, ZHU De-ming. Interval Criteria for Oscillation of Certain Second-order Nonlinear Differential Equations[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(4): 500-509.