Quasiperiodic Motions for Asymmetric Oscillators

摘要

We prove the existence of quasiperiodic solutions and Lagrange stability for a class of differential equations with jumping nonlinearity x+αx~+-bx~-+φ(x)=p(t), where α,b>0,p(t)∈ C(R/2πZ) and φ:R→R is an unbounded function.