PageHeader : Funkcialaj Ekvacioj, 22 (1979), 77-94 Title : On a System of Difference Equations of the Form Title : $\mathrm{y}(x-1)=f(x, \mathrm{y}(x))$ with $\lim_{x\rightarrow\infty}\frac{\partial f}{\partial y}(x, 0)=I$ AuthorInfo : By AuthorInfo : Yoshio INAGAKI AuthorInfo : (Tokyo Denki University, Japan) section : 1. Introduction section : 2. Proof of Theorem 1 section : 3. Proof of Theorem 2 section : 4. Construction of formal transformation in Theorem 3 section : 5. Convergence of formal transformation in Theorem 3 section : References