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三阶线性齐次微分方程解的Sturm比较定理 被引量:5

Sturm Comparison Theorem of Solution for the Third Order Homogeneous Linear Differential Equations
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摘要 研究了一类三阶线性齐次微分方程解的Sturm比较定理的理论,在三阶线性齐次微分方程的Sturm基本定理的基础上得出了Sturm比较定理,所得结论推广了现有文献的相应结果。 In this paper, the Sturm comparison theorem of the third order homogeneous linear equations are researched. On the basis of the Sturm fundamental theorem, the third order homogeneous linear differential equations reaches the Sturm comparison theorem . Some results are generalized.
出处 《榆林学院学报》 2009年第4期18-19,共2页 Journal of Yulin University
关键词 三阶线性齐次微分方程 零点 拐点 单调函数 STURM比较定理 third order homogeneous linear differential equation zero point inflection point monotone function Sturm comparison theorem
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