PageHeader : Funkc.alaj $\mathrm{E}\mathrm{k}\mathrm{v}_{\mathrm{c}_{\vee}\mathrm{C}_{1}\mathrm{O}\mathrm{j}}^{\tau \mathrm{i}}$ , 9 $(19\hat{\mathrm{o}}6)_{}\underline{\mathrm{o}_{}}73-^{\underline{\mathrm{Q}}}\mathrm{S}\overline{\mathrm{a}}$ Title : Convergent Solution of Ordinary Nonlinear Title : Dif.f.erential Equations AuthorInfo : By Masahiro IWANO* AuthorInfo : (Mathematics Research Center, Wisconsin and Tokyo Metropolitan University) section : 0. Ihrtrocluction. section : 1. Formal transformation. section : 2. Integration of the equation (R). section : 3. Estimation of the growth of the solution U near the origin $x=0$ . section : 4. Formal solution. section : 5. Statement of main theorem. section : 6. Proof of the main theorem. section : 7. Sketch of the proof of the auxiliary theorem. section : Added in proof section : References