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Received July 29, 2021; Accepted September 1, 2021; Published September 15, 2021
Abstract. This paper studies the existence and multiplicity of harmonic and subharmonic solutions of superlinear Liénard type equation with some forced terms. First, the system corresponding to the superlinear Liénard type equation with the forced term is transformed into an equivalent Hamiltonian system. Then, it is proved that the equation has infinitely many harmonic and subharmonic solutions by using the superlinear condition and the Poincaré-Birkhoff twist theorem.
How to Cite this Article:
Zhenfeng Zhang, Kelei Zhang, Qihuai Liu, Wentao Zhang, The existence of harmonic and subharmonic solutions for superlinear Liénard type equation with forced terms, Journal of Nonlinear Functional Analysis, Vol. 2021 (2021), Article ID 27, pp. 1-11.