三阶线性齐次微分方程解的相邻零点之间的距离  

Distance between Adjacent Zero Point of Solution for the Third Order Homogeneous Linear Differential Equations

作　　者：薛巧梅[1] 秦宏立[1] 张荣荣[1] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《延安大学学报（自然科学版）》2009年第4期8-9,共2页Journal of Yan'an University：Natural Science Edition

摘　　要：研究了一类三阶线性齐次微分方程解的相邻零点之间的距离问题,在三阶线性齐次微分方程解的Sturm比较定理的基础上得出了相邻零点之间的距离,所得结论推广了现有文献的相应结论。The distance between adjacent zero point of solution for the third order homogeneous linear differential equations are studied.On the basis of the sturm comparison theorem of solution for the third order homogeneous linear differential equations,the third order homogeneous linear differential equations reaches the distance between adjacent zero point.Some results are generalized.

关 键 词：三阶线性齐次微分方程 零点 距离 STURM比较定理 

分 类 号：O175.29[理学—数学]