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Oscillation Criteria for Second-Order Neutral Delay Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integrals

机译:二阶中立延迟动态方程的振动标准与riemann-stieltjes集成的非线性

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摘要

We establish several oscillation criteria for a class of second-order neutral delay dynamic equations with nonlinearities given by Riemann-Stieltjes integrals. Our results extend and unify a number of other existing results and handle the cases which are not covered by known criteria. The new results we obtain are of significance because the equations we study allow an infinite number of nonlinear terms and even a continuum of nonlinearities.
机译:我们为一类二阶中立延迟动态方程建立了几种振荡标准,其中包括riemann-stieltjes积分的非线性。我们的结果扩展并统一了许多其他现有结果,并处理未知标准未涵盖的情况。我们获得的新结果具有重要意义,因为我们研究的方程允许无限数量的非线性术语甚至是非线性的连续性。

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