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Sturmian comparison theory for impulsive differential inequalities and equations

机译:脉冲微分不等式和方程的Sturmian比较理论

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1.Introduction. The classical Sturmian comparison theory for the second order ordi-nary differential equations is known to be the basis for study of numerous important properties of their solutions and, first of all, of their oscillatory properties. The principal advance in this direction was achieved due to the results of Sturmian theory (Sturmian Comparison Theorem, Oscillation and Non-oscillation Theorem, Zeros-Separation The-orem) although many of the more recent investigations (especially for nonlinear equa-tions) are no more based on this theory [4].
机译:1,引言众所周知,二阶常微分方程的经典Sturmian比较理论是研究其解的众多重要性质以及首先是其振荡性质的基础。这方面的主要进展是由于Sturmian理论的结果(Sturmian比较定理,振荡和非振荡定理,零分离定理),尽管最近的许多研究(尤其是非线性方程)不再基于该理论[4]。

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