No abstract

In this work, we shall be concerned with the following forced Rayleigh type equation:Under certain assumptions, some criteria for guaranteeing the existence, uniqueness and asymptotic stability (in the Lyapunov sense) of periodic solutions of this equation are presented by applying the Manásevich-Mawhin continuation theorem, Floquet theory, Lyapunov stability theory and some analysis techniques. Moreover, an example is provided to demonstrate the applications of our results.2000 Mathematics subject classification: primary 34K15, 34C25.

In this work, we will be concerned with the following forced Liénard type equation:Under certain assumptions, some new criteria for guaranteeing the existence of asymptotically stable (in the sense of Liapunov) periodic solutions of this equation are presented by applying Manásevich-Mawhin continuation theorem, Floquet theory, Liapunov stability theory and some analysis techniques. Moreover, an example is provided to demonstrate the applications of our results.