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Periodic solutions of semilinear Duffing equations with impulsive effects
Yanmin Niu, Xiong Li
In this paper we are concerned with the existence of periodic solutions for semilinear Duffing equations with impulsive effects. Firstly for the autonomous one, basing on Poincaré-…
Periodic solutions of sublinear impulsive differential equations
Yanmin Niu, Xiong Li
In this paper, we consider sublinear second order differential equations with impulsive effects. Basing on the Poincaré-Bohl fixed point theorem, we first will prove the existence…
Boundedness in forced isochronous oscillators
Shasha Jin, Xiong Li
In this paper we are concerned with the boundedness of all solutions for the forced isochronous oscillator where is a so-called -isochronous potenti…
The large twist theorem and boundedness of solutions for polynomial potentials with time dependent coefficients
Xiong Li, Bin Liu, Yanmei Sun
In this paper we first prove the so-called large twist theorem, then using it to prove the boundedness of all solutions and the existence of quasi-periodic solutions for Duffing's…