Resonance phenomena for asymmetric weakly nonlinear oscillator

被引：0
|
作者：
Dingbian Qian
机构：
[1] Suzhou University,Department of Mathematics
来源：
Science in China Series A: Mathematics | 2002年 / 45卷 / 2期
关键词：
weakly nonlinearity; asymmetric oscillator; coexistence of periodic solution and unbounded solution; infinity of subharmonic;
D O I：
10.1360/02ys9022
中图分类号：
学科分类号：
摘要：
We establish the coexistence of periodic solution and unbounded solution, the infinity of large-amplitude subharmonics for asymmetric weakly nonlinear oscillator x″ + a2x+— b2x- + h(x) = p(t) with h(±∞) = 0 and xh(x) → +∞(x → ∞ ), assuming that M(τ) has zeros which are all simple and M(τ) ≡ 0 respectively, where M(τ) is a function related to the piecewise linear equation x″ + a2x+— b2x-= p(t).
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页码：214 / 222
页数：8
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