Some new stability and boundedness results on a certain fourth order nonlinear differential equation

Adesina Olufemi Adeyinka; Ogundare Babatunde Sunday

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Some new stability and boundedness results on a certain fourth order nonlinear differential equation

机译：某四阶非线性微分方程的一些新稳定性和有界性

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摘要

In this paper, some new conditions on the global asymptotic stability, boundedness and ultimate boundedness of solutions to a certain fourth order nonlinear differential equation are obtained. By constructing a complete Lyapunov function, we give three new results on the considered equation. Our results improve, generalize and complement existing results in the literature on the subject matter.

机译：本文为某四阶非线性微分方程解的整体渐近稳定性，有界性和极限有界性提供了一些新条件。通过构造一个完整的Lyapunov函数，我们给出了所考虑方程式的三个新结果。我们的结果改进，概括和补充了有关该主题的文献中的现有结果。

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来源
《Nonlinear studies》 |2012年第3期|共11页
作者
Adesina Olufemi Adeyinka; Ogundare Babatunde Sunday;
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正文语种 eng
中图分类高等数学;
关键词
Boundedness; Lyapunov function; Nonlinear fourth order differential equations; Stability.; Ultimate boundedness;

机译：有界;李雅普诺夫函数;非线性四阶微分方程;稳定性;极限有界;

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专利

1. Some new stability and boundedness results on a certain fourth order nonlinear differential equation [J] . Adesina Olufemi Adeyinka, Ogundare Babatunde Sunday Nonlinear studies . 2012,第3期

机译：某四阶非线性微分方程的一些新稳定性和有界性
2. Some remarks on the stability and boundedness of solutions of certain differential equations of fourth-order [J] . Tun? Cemil Computational and Applied Mathematics . 2007,第1期

机译：关于某些四阶微分方程解的稳定性和有界性的一些评论
3. A note on the stability and boundedness results of solutions of certain fourth order differential equations [J] . Tunc C Applied mathematics and computation . 2004,第3期

机译：关于某些四阶微分方程解的稳定性和有界性结果的注释
4. Stability, Boundedness and Square Integrability Properties of Fourth Order Neutral Differential Equations with Variable Delay [C] . Mebrouk RAHMANE, Moussadek REMILI, Larbi FATMI International Conference on Mathematics and Information Technology . 2020

机译：变时滞四阶中立型微分方程的稳定性，有界性和平方可积性
5. ON THE BOUNDEDNESS OF SOLUTIONS AND THE ATTRACTIVITY PROPERTIES FOR NONLINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS [D] . 坂田, 定久 1982

机译：非线性二阶微分方程解的有界性和吸引性
6. Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay [O] . Erdal Korkmaz -1

机译：时滞非线性四阶微分方程解的导数的稳定性和平方可积性。
7. Stability and boundedness of solutions of nonlinear fourth order differential equations with bounded delay [O] . erdal korkmaz 2017

机译：有界延迟的非线性四阶微分方程解的稳定性和界限

Some new stability and boundedness results on a certain fourth order nonlinear differential equation

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