时间尺度上二阶非线性阻尼动力方程的振动性

Open Journal of Mathematical Analysis Pub Date : 2018-12-31 DOI:10.30538/psrp-oma2018.0019

Fanfan Li, Z. Han

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引用次数: 1

摘要

本文利用Riccati变换技术，对时间尺度为(r(t)(x(t)) - p(t)(x(t)) + q(t)f(x(t)) = 0的二阶非线性阻尼动力学方程建立了新的振动准则。我们的结果不仅推广了一些已有的结果，而且可以应用于文献中没有涉及的振动问题。最后，我们给出了一些例子来说明我们的主要结果。数学学科分类:26E70, 34C10。

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Oscillation Behavior of Second Order Nonlinear Dynamic Equation with Damping on Time Scales

In this paper, we use Riccati transformation technique to establish some new oscillation criteria for the second order nonlinear dynamic equation with damping on time scales (r(t)(x(t))) − p(t)(x(t)) + q(t)f(x(t)) = 0. Our results not only generalize some existing results, but also can be applied to the oscillation problems that are not covered in literature. Finally, we give some examples to illustrate our main results. Mathematics Subject Classification: 26E70, 34C10.

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来源期刊

Open Journal of Mathematical Analysis

自引率

0.00%

发文量

审稿时长

8 weeks