广义lisamadard型系统的若干显式振荡结果

IF 0.2 Q4 MATHEMATICS, APPLIED

International Journal of Dynamical Systems and Differential Equations Pub Date : 2020-02-05 DOI:10.1504/ijdsde.2020.10026678

Tohid Kasbi, V. Roomi, A. J. Akbarfam

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引用次数: 0

摘要

在这项工作中，将考虑一个广义的Lienard类型系统。我们研究了该系统的所有轨迹是否与垂直等斜线相交的问题，这在原点的全局渐近稳定性、振荡理论和周期解的存在性等方面具有重要意义。在非常一般的假设下，我们得到了非常尖锐的充分条件。给出了该系统解为振荡的几个新条件。给出了一些例子来说明我们的结果。

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Some explicit oscillation results for the generalised Liénard type systems

In this work a generalised Lienard type system will be considered. We study the problem whether all trajectories of this system intersect the vertical isocline, which is very important in the global asymptotic stability of the origin, oscillation theory, and existence of periodic solutions. Under quite general assumptions we obtain sufficient conditions which are very sharp. We present some new conditions under which the solutions of this system are oscillatory. Some examples are provided to illustrate our results.

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来源期刊

International Journal of Dynamical Systems and Differential Equations MATHEMATICS, APPLIED-

CiteScore

0.80

自引率

0.00%

发文量

期刊介绍： IJDSDE is a quarterly international journal that publishes original research papers of high quality in all areas related to dynamical systems and differential equations and their applications in biology, economics, engineering, physics, and other related areas of science. Manuscripts concerned with the development and application innovative mathematical tools and methods from dynamical systems and differential equations, are encouraged.