Resonance phenomena for asymmetric weakly nonlinear oscillator

• 作 者: QlAN Dingbian(钱定边)
• 机 构: DepartmentofMathematics
• 出 处: 中国科学：数学英文版
• 发表日期: 2002年2期
• 关键词: weakly nonlinearity ASYMMETRIC OSCILLATORY coexistence of periodic SOLUTION and
• 基金项目: Acknowledgements This work was supported by the National Natural Science Foundation of China(Grant No. 10071055).

We establish the coexistence of periodic solution and unbounded solution, the infinity of largeamplitude subharmonics for asymmetric weakly nonlinear oscillator x' + a2x+ - b2x- + h(x) = p(t) with h(±∞) - 0 and xh(x) → +∞(x →∞), assuming that M(τ