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具有振动位势的二阶非线性常微分方程的区间强迫振动判别准则
Interval Oscillation Criteria for A Foced Second-order Nonlinear Ordinary Differential Equation with Oscillatory Potential
【摘要】 给出具有振动位势的二阶非线性常微分方程 (r(t)y′(t) )′ +p(t)y′(t) +Q(t,y(t) ) =g(t) 区间强迫振动的判别准则和实例 .
【Abstract】 New oscillation criteria established for a second order nonlinear ordinary differential equation with oscillatory potential(r(t)y′(t))′+p(t)y′(t)+Q(t,y(t))=g(t) are different from the most known ones in the sense that they are based on the information only on a sequence of subintervals of[t-0,+∞).
【关键词】 常微分方程;
振动;
非线性;
判别;
【Key words】 ordinary differential equation; oscillation; nonlinear; judgement;
【Key words】 ordinary differential equation; oscillation; nonlinear; judgement;
【基金】 广西青年科学基金 (0 0 0 70 0 2 )资助项目
- 【文献出处】 广西科学 ,Guangxi Sciences , 编辑部邮箱 ,2004年04期
- 【分类号】O175.12
- 【被引频次】1
- 【下载频次】33