PageHeader : Funkcialaj Ekvacioj, 15 (1972), $193-\dot{2}0\mathit{7}$
Title : Euler-Cauchy Polygons and the Local
Title : Existence of Solutionse to Abstract
Title : Ordinary Differential Equations
AuthorInfo : By J. M. BOWNDS* and J. B. DIAZ
AuthorInfo : (University of Arizona and Rerisselaer Polytechnic Institute)
section : I. Introduction
section : II. An Existence Theorem for the Initial Value Problem
subsection : A. The Sequence of Partitions of $[x_{0}, \mathrm{x}_{0}+r]$ .
subsection : B. Definition of the Sequence of Euler-Cauchy Polygons $\{f_{m}\}_{m=1}^{\infty}$ .
subsection : C. Equal Uniform Continuity of the Sequence of Functions $\{f_{m}\}_{m=1}^{\infty}$ .
subsection : D. Pointwise Compactness of the Sequence of Functions $\{f_{m}\}_{m=1}^{\infty}$ .
subsection : E. Application of the Convergence Lemma.
subsection : F. Existence of a Solution to the Initial Value Problem.
section : References