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Linearized Oscillations in Autonomous Delay ImpulsiveDifferential Equations

机译:自治时滞脉冲微分方程的线性化振动

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摘要

In recent years, there have been intensive efforts to establish linearised oscillation results for onedimensional delay, neutral delay and advanced impulsive differential equations. An impressive number of these efforts have yielded fruitful results in many analytical and applied areas. This is particularly obvious in the areas of applied disciplines such as the linear delay impulsive differential equations. However, there still remains a lot more to be explored in this direction, especially, in the area of non-linear autonomous differential equations. In this paper, we are proposing the development of linearised oscillation techniques for some general non-linear autonomous impulsive differential equations with several delays.
机译:近年来,人们为建立一维延迟,中性延迟和先进的脉冲微分方程线性化的振动结果付出了巨大的努力。在许多分析和应用领域,这些努力中取得了令人瞩目的成果,取得了丰硕的成果。这在线性延迟脉冲微分方程等应用学科领域尤其明显。然而,在这个方向上,尤其是在非线性自治微分方程领域,还有很多事情要做。在本文中,我们提出了一些具有几个时滞的一般非线性自治脉冲微分方程的线性化振荡技术的发展。

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