PageHeader : Punkcialaj Ekvacioj, 11 (1968), 111-129 Title : Subfunctions for Ordinary Differential Equations III AuthorInfo : By Kiyoshi AKO AuthorInfo : (University of Tokyo) section : Introduction. section : 1. Preliminaries. section : 2. Two Lemmas. section : 3. Main Theorem. section : 4. The Case Where $f(x, g, p)$ Is Non-decreasing in y. section : 5. A Further Existence Theorem far the Problem (2). section : 6. Uniqueness Theorems for the Problem (2). section : 7. Unique Existence Theorems for the Problem (2). section : 8. An Open Question. section : 9. Further Investigations. section : Appendix section : 10. The Definitions of Semi-decomposable Systems. section : 11. Theorems of Perron Type and of Peano Type. section : 12. Uniqueness Theorems for the Cauchy Problem. section : 13. Application to the Problems (1) and (2). section : References