In this paper,the authors obtain the existence of one-signed periodic solutions of the first-order functional difference equation ？u（n） = a（n）u（n）-λb（n）f（u（n-τ（n）））,n ∈ Z by using global bifurcation ...In this paper,the authors obtain the existence of one-signed periodic solutions of the first-order functional difference equation ？u（n） = a（n）u（n）-λb（n）f（u（n-τ（n）））,n ∈ Z by using global bifurcation techniques,where a,b：Z → [0,∞） are T-periodic functions with ∑T n=1 a（n） 〉 0,∑T n=1 b（n） 〉 0;τ：Z → Z is T-periodic function,λ 〉 0 is a parameter;f ∈ C（R,R） and there exist two constants s2 〈 0 〈 s1 such that f（s2） = f（0） = f（s1） = 0,f（s） 〉 0 for s ∈（0,s1） ∪（s1,∞）,and f（s） 〈 0 for s ∈（-∞,s2） ∪（s2,0）.展开更多
基金Supported by the National Natural Science Foundation of China(Grant Nos.1162618811671322+2 种基金11501451)the Natural Science Foundation of Gansu Province(Grant No.1606RJYA232)the Young Teachers’ Scientific Research Capability Upgrading Project of Northwest Normal University(Grant No.NWNU-LKQN-15-16)
文摘In this paper,the authors obtain the existence of one-signed periodic solutions of the first-order functional difference equation ？u（n） = a（n）u（n）-λb（n）f（u（n-τ（n）））,n ∈ Z by using global bifurcation techniques,where a,b：Z → [0,∞） are T-periodic functions with ∑T n=1 a（n） 〉 0,∑T n=1 b（n） 〉 0;τ：Z → Z is T-periodic function,λ 〉 0 is a parameter;f ∈ C（R,R） and there exist two constants s2 〈 0 〈 s1 such that f（s2） = f（0） = f（s1） = 0,f（s） 〉 0 for s ∈（0,s1） ∪（s1,∞）,and f（s） 〈 0 for s ∈（-∞,s2） ∪（s2,0）.
