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| An Oscillation Criterion for Second Order Superlinear Differential Equations | |
| 作者姓名： | 陈文灯 俞元洪 |
| 作者单位： | Chen Wendeng(Center University of Finance and Economic，Beijing，100081)Yu Yuanhong(Institute of Applied Mathematics，Academia Sinica，Beijing，100080) |
| 摘 要： | 61.IntroductionConsiderthesecondordersuperlinearequationx'(t) p(t)X'(t) q(t)1x(t)l"sgnx(t)=o,t>to,(1)wherea>l,pandq:t,'co)-R=(-co,oo)arecontinuous.Weconsideronlysuchsolutionsxofequation(l)whichexistonsomeintervalt.,oo),t.>t,>o.Asolutionofequation(l)issaidtobeoscillatoryifithasarbitrarilylargezerosandotherwise,itissaidtobenonoscillatory.Equation(l)iscalledoscillatoryifallofitssolutionsareoscilllatory.Forthespecialcasewherep(t)=Oli.e.,forthedifferentialequationx'(t) q(t)lx(t)l"sgnx(t)=o,a>1-… |
An Oscillation Criterion for Second Order Superlinear Differential Equations |
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| Chen Wendeng.An Oscillation Criterion for Second Order Superlinear Differential Equations[J].Chinese Quarterly Journal of Mathematics,1997(3). | |
| Authors: | Chen Wendeng |
| Abstract: | |
| Keywords: | superlinearity oscillation criterion second order differential equation |
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