Liénard方程解的有界性与整体渐近性

杨启贵

系统科学与数学 ›› 1999, Vol. 19 ›› Issue (2) : 211-216.

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PDF(269 KB)
系统科学与数学 ›› 1999, Vol. 19 ›› Issue (2) : 211-216. DOI: 10.12341/jssms09589
论文

Liénard方程解的有界性与整体渐近性

    杨启贵
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BOUNDEDNESS OF SOLUTION AND GLOBAL ASYMPTOTIC BEHMIOR OF LIENARD EQUATION

    Qi Gui YANG
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摘要

本文研究Liénard方程x+f(x)x+g(x)=e(t)的解的有界性及整体渐近性态,并获得了所有解及它们的导数有界与收敛于零的充要条件.

Abstract

In this paper, the boundedness of solution and the global asymptotic behavior of Lienard equation is studied. Necessary and sufficient conditions for all solutions to be bounded and for all solution to have their derivatives convergeing to zero are given.

关键词

Linard方程 / 有界性 / 整体渐近性态

Key words

Lienard equation / boundedness / global asymptotic behavior

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杨启贵. Liénard方程解的有界性与整体渐近性. 系统科学与数学, 1999, 19(2): 211-216. https://doi.org/10.12341/jssms09589
Qi Gui YANG. BOUNDEDNESS OF SOLUTION AND GLOBAL ASYMPTOTIC BEHMIOR OF LIENARD EQUATION. Journal of Systems Science and Mathematical Sciences, 1999, 19(2): 211-216 https://doi.org/10.12341/jssms09589
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