摘要
In this paper, we consider the unboundedness of solutions for the asymmetric equation x00＋ax＋？bx？＋？（x）ψ（x0）＋f（x）＋g（x0）=p（t）, where x＋ = max{x, 0}, x？ = max{？x, 0}, a and b are two different positive constants, f （x） is locally Lipschitz continuous and bounded,？（x）, ψ（x）, g（x） and p（t） are continuous functions, p（t） is a 2π-periodic function. We discuss the existence of unbounded solutions under two classes of conditions： the resonance case √1a＋ √1b ∈Q and the nonresonance case√1a ＋ √1b /∈Q.
基金
Supported by the Tianyuan Special Foundation（11526148）
Supported by the National Natural Science Foundation of China（l1571187, 11461056）
