Necessary and sufficient conditions for oscillation of second-order dynamic equations on time scales

Zhou Yong; Ahmad Bashir; Alsaedi Ahmed

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Necessary and sufficient conditions for oscillation of second-order dynamic equations on time scales

机译：在时间尺度上的二阶动态方程振荡的必要和充分条件

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摘要

In this paper, we establish necessary and sufficient conditions for oscillation of second-order strongly superlinear and strongly sublinear dynamic equations. Our results unify and improve many known results in the literature.

机译：在本文中，我们为二阶强超级线性和强载性动态方程的振荡建立了必要的和充分条件。我们的结果统一和改善文献中的许多已知结果。

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来源
《Mathematical Methods in the Applied Sciences》 |2019年第13期|共10页
作者
Zhou Yong; Ahmad Bashir; Alsaedi Ahmed;
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作者单位

Xiangtan Univ Fac Math &

Computat Sci Xiangtan 411105 Hunan Peoples R China;

King Abdulaziz Univ Fac Sci Nonlinear Anal &

Appl Math NAAM Res Grp Jeddah 21589 Saudi Arabia;

King Abdulaziz Univ Fac Sci Nonlinear Anal &

Appl Math NAAM Res Grp Jeddah 21589 Saudi Arabia;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
dynamic equations; necessary and sufficient conditions; oscillation; time scales;

机译：动态方程;必要和充分的条件;振荡;时间尺度;

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1. Necessary and sufficient conditions for oscillation of second-order dynamic equations on time scales [J] . Zhou Yong, Ahmad Bashir, Alsaedi Ahmed Mathematical Methods in the Applied Sciences . 2019,第13期

机译：在时间尺度上的二阶动态方程振荡的必要和充分条件
2. Necessary and Sufficient Conditions for Positive Solutions of Second-Order Nonlinear Dynamic Equations on Time Scales [J] . Zhi-Qiang Zhu International journal of mathematics and mathematical sciences . 2011,第7期

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3. A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales [J] . Ondrej Dosly, Stefan Hilger Journal of Computational and Applied Mathematics . 2002,第1a2期

机译：时标上Sturm-Liouville动力学方程振动的充要条件
4. Oscillation Criteria for Second-Order Nonlinear Neutral Delay Dynamic Equations with Damping on Time Scales [C] . Shouhua Liu, Quanxin Zhang Annual International Conference on Material Science and Environmental Engineering . 2018

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5. Oscillation theory of dynamic equations on time scales [D] . Higgins, Raegan J. 2008

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6. Qualitative Theory of Differential Equations Difference Equations and Dynamic Equations on Time Scales [O] . Tongxing Li, Martin Bohner, Tuncay Candan, 2016

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7. Necessary and sufficient conditions for oscillation of fourth order dynamic equations on time scales [O] . Yong Zhou, Jia Wei He, Bashir Ahmad, 2019

机译：在时间尺度上的四阶动态方程振荡的必要和充分条件

Necessary and sufficient conditions for oscillation of second-order dynamic equations on time scales

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