Quasi-periodic solutions of a forced asymmetric oscillator at resonance Original Research Article

It is proved the existence of Aubry-Mather sets and infinitely many subharmonic solutions to an equation of the form u″+au+−bu−+φ(u)=p(t), where u+=max{u,0}, u−=max{−u,0}, View the MathML source is continuous, View the MathML source is continuous and 2π-periodic. We deal with the situation when a≠b are two positive constants satisfying View the MathML source.