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.
