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Quasiperiodic Motions for Asymmetric Oscillators
Authors:Xiao Ping Yuan
Institution:(1) Department of Mathematics, Fudan University, Shanghai 200433, P. R. China
Abstract:We prove the existence of quasiperiodic solutions and Lagrange stability for a class of differential equations with jumping nonlinearity $${\ddot x}+ax^+-bx^-+\phi(x)=p(t)$$ , where a,b > 0, p(t) ∈C(ℝ/2πℤ) and φ : ℝ→ℝ is an unbounded function. Supported by the National Natural Science Foundation of China
Keywords:Quasiperiodic solution  Lagrange stability  KAM theorem
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