DING T R, IANNACCI R, ZANOLIN F. Existence and Multiplicity Results for Periodic Solutions of Semilinear Duffing Equations [J]. Journal of Differential Equations, 1993, 105(2): 364-409. doi: 10.1006/jdeq.1993.1093
吴吟吟, 钱定边. 强迫摆型碰撞振子的弹性周期解[J]. 中国科学: 数学, 2018, 48(5): 579-588.
HAO D Y, MA S W. Semilinear Duffing Equations Crossing Resonance Points [J]. Journal of Differential Equations, 1997, 133(1): 98-116. doi: 10.1006/jdeq.1996.3193
WANG Z H. Multiplicity of Periodic Solutions of Semilinear Duffing's Equation at Resonance [J]. Journal of Mathematical Analysis and Applications, 1999, 237(1): 166-187. doi: 10.1006/jmaa.1999.6472
王学蕾. 平面时变Hamilton系统周期解的存在性和重性[D]. 苏州: 苏州大学, 2016.
吴克正. 具有振动位势的二阶哈密顿方程的重周期解[D]. 苏州: 苏州大学, 2017.
DING W Y. A Generalization of the Poincaré-Birkhoff Theorem [J]. Proceedings of the American Mathematical Society, 1983, 88(2): 341-346.
马田田, 张铁荟, 黄艳. 共振条件下具有奇异性和无界扰动Duffing方程的周期解(上) [J]. 首都师范大学学报(自然科学版), 2017, 38(6): 1-4.
马田田, 张铁荟, 黄艳. 共振条件下具有奇异性和无界扰动Duffing方程的周期解(下) [J]. 首都师范大学学报(自然科学版), 2018, 39(1): 1-7.
LIU Q H, TORRES P J, QIAN D B. Periodic, Quasi-Periodic and Unbounded Solutions of Radially Symmetric Systems with Repulsive Singularities at Resonance [J]. Nonlinear Differential Equations and Applications NoDEA, 2015, 22(5): 1115-1142. doi: 10.1007/s00030-015-0316-3
WANG Z H, MA T T. Existence and Multiplicity of Periodic Solutions of Semilinear Resonant Duffing Equations with Singularities [J]. Nonlinearity, 2012, 25(2): 279-307. doi: 10.1088/0951-7715/25/2/279
李宇尘, 张康群. 一类Duffing方程周期解的存在唯一性[J]. 南京师大学报(自然科学版), 2016, 39(3): 16-21.
陈仕洲. 一类Lienard型p-Laplacian方程周期解的存在性和唯一性[J]. 西南师范大学学报(自然科学版), 2015, 40(1): 6-11.
姜黎鑫, 丁卫. 一般次线性条件下脉冲方程的周期解[J]. 西南师范大学学报(自然科学版), 2018, 43(11): 18-23.
CAPIETTO A, MAWHIN J, ZANOLIN F. A Continuation Theorem for Periodic Boundary Value Problems with Oscillatory Nonlinearities [J]. Nonlinear Differential Equations and Applications NoDEA, 1995, 2(2): 133-163.