Boundedness of Solutions of a Quasi-periodic Sublinear Duffing Equation

被引：0
|
作者：
Yaqun Peng
Xinli Zhang
Daxiong Piao
机构：
[1] Sun Yat-Sen University,School of Mathematics (Zhuhai)
[2] Qingdao University of Science and Technology,School of Mathematics and Physics
[3] Ocean University of China,School of Mathematical Sciences
来源：
Chinese Annals of Mathematics, Series B | 2021年 / 42卷
关键词：
Hamiltonian system; Sublinear Duffing equation; Boundedness; Quasi-periodic solution; Invariant curve; 34C11; 34D20; 37E40; 37J40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The authors study the Lagrangian stability for the sublinear Duffing equations ẍ + e(t)∣x∣α−1x = p(t) with 0 < α < 1, where e and p are real analytic quasi-periodic functions with frequency ω. It is proved that if the mean value of e is positive and the frequency ω satisfies Diophantine condition, then every solution of the equation is bounded.
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页码：85 / 104
页数：19
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