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Interval oscillation criteria for nonlinear impulsive delay differential equations with damping term

机译:具阻尼项的非线性脉冲时滞微分方程的区间振动准则

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摘要

In this paper, a class of second order nonlinear impulsive delay differential equations with damping term is studied. Three factors-impulse, delay and damping that affect the interval qualitative properties of solutions of equations are taken into account together. Several interval oscillation criteria which generalize some known ones, such as, in Huang and Feng (2010), Xing and Zheng (2008) and Liu and Xu (2007), are established. Moreover, examples are also given to illustrate the effectiveness and non-emptiness of our results. (C) 2014 Elsevier Inc. All rights reserved.
机译:本文研究了一类带有阻尼项的二阶非线性脉冲时滞微分方程。一起考虑了影响方程解的间隔定性性质的三个因素,即脉冲,延迟和阻尼。建立了几个区间振动准则,这些准则概括了一些已知的准则,例如,在Huang和Feng(2010),Xing和Zheng(2008)以及Liu和Xu(2007)中。此外,还通过示例说明了我们的结果的有效性和非空性。 (C)2014 Elsevier Inc.保留所有权利。

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