PageHeader : Funkcialaj Ekvacioj, 16 (1973), 137-164 Title : Solutions Containing Arbitrary Periodic Functions Title : of Systems of Nonlinear Difference Equations AuthorInfo : By Kyoichi TAKANO AuthorInfo : (University of Tokyo) section : 1. Introduction. section : 2. Statement of Theorems section : 3. Proof of Theorem 1. subsection : 3. 1. Formal solution. subsection : 3. 2. Verification of asymptotic developability of the formal solutions. subsection : 3. 3. Lemma 1. section : 4. Lemmas on linear difference equations. section : 5. Proof of Theorem 2. subsection : 5. 1. Formal solution. subsection : 5. 2. Convergence of the formal solution. section : 6. Lemmas on systems of linear functional equations. section : 7. Proof of Theorem 3. subsection : 7. 1. Formal solution of (7. 2). subsection : 7. 2. Convergence of a formal solution (7. 3). section : References