| On the Oscillation of the Fourth Order Differential Equations |
| |
| 作者姓名： | 冯滨鲁 俞元范例 |
| |
| 作者单位： | Feng Binlu (Department of Basic Courses，Shandong Institute of Mining，Taian，271019) Yu Yuanhong (Institute of Applicd Mathenzatics，Academta Sinica，Beijing，100080) |
| |
| 摘 要： | 61.IntroductionWeconsiderthefourthorderdifferentialequationx(`)(t)-p(t)lx(t)I'sgnx(t)=O,(1.l)wherea>l,isconstant,andp(t)ispositivecontinuousfunctionont,,oo),to>o.Werestrictourattentiontothosenontrivialsolutionsx(t)of(1.1)whichexistonsomehalf-ineT:,co)cyt,,oo),suchasolutioniscalledapropersolutionof(1.l).ApropersolutioniscalledoscillatoryifithasarbitrarilylargezerosFotherwiseitiscallednonoscillatory.Wecon-sidertheoscillationandnonoscillationofpropersolutionsof(l,l).WeletEdenotethesetofall…
|
| 关 键 词： | 四阶微分方程 振动性 振动解 非振动解 |
On the Oscillation of the Fourth Order Differential Equations |
| |
| Feng Binlu.On the Oscillation of the Fourth Order Differential Equations[J].Chinese Quarterly Journal of Mathematics,1997,12(4):1-10. |
| |
| Authors: | Feng Binlu |
| |
| Institution: | [1]Department [2]of |
| |
| Abstract: | In the present paper sufficient conditions for oscillations and nonoscillations of a class of fourth order differential equations are obtained. |
| |
| Keywords: | fourth order differential equations oscillatory solutions nonoscillatory solutions |
| 本文献已被 CNKI 维普 等数据库收录！ |
