It is shown that all solutions are bounded for Duffing equation s+ x^2n+1+j=0∑^2n Pj(t)x^j=0,provided that for each n + 1≤j≤2n,Pj ∈ C^γ(T^1) with γ〉1-1/n and for each j with 0 ≤ j ≤ n,Pj ∈L (T^1) w...It is shown that all solutions are bounded for Duffing equation s+ x^2n+1+j=0∑^2n Pj(t)x^j=0,provided that for each n + 1≤j≤2n,Pj ∈ C^γ(T^1) with γ〉1-1/n and for each j with 0 ≤ j ≤ n,Pj ∈L (T^1) where T^1=R/Z.展开更多
基金Project supported by the National Natural Science Foundation of China(No.11421061)
文摘It is shown that all solutions are bounded for Duffing equation s+ x^2n+1+j=0∑^2n Pj(t)x^j=0,provided that for each n + 1≤j≤2n,Pj ∈ C^γ(T^1) with γ〉1-1/n and for each j with 0 ≤ j ≤ n,Pj ∈L (T^1) where T^1=R/Z.