Duffing型方程解的有界性

被引：1

作者：

袁小平

机构：

[1] 复旦大学数学系!上海

来源：

中国科学(A辑) | 1998年 / 04期

关键词：

Duffing型方程; 解的有界性; Moser扭转定理;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

证明了下列Duffing型方程的所有解的有界性 :d2 xdt2 +x2n+1+ 2nj=0xjpj(t) =0 ,n≥ 1 ,其中 ,p1,p2 ,… ,p2n是 1周期的有Lipschitz连续性的函数 ,pn +1,… ,p2n是Zygmund连续的 .这表明Duffing型方程的解的有界性不必要求 pj(t)的光滑性 .

引用

页码：303 / 312

页数：10

共 12 条

[1]

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[2]

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[3]

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[9]

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[10]

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