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Zeitschrift für Analysis und ihre Anwendungen

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Volume 15, Issue 3, 1996, pp. 765–770
DOI: 10.4171/ZAA/728

Published online: 1996-09-30

On the Method of Backward Steps of Carathéodory-Tonelli

Espedito De Pascale[1], G. Marino[2] and Giorgio Metafune[3]

(1) Università della Calabria, Arcavacata di Rende, Italy
(2) Università della Calabria, Arcavacata Di Rende, Italy
(3) Università del Salento, Lecce, Italy

We study the convergence of a sequence of functions which has been introduced by Carathéodory and Tonelli in connection with the solvability of the Cauchy problem for ordinary differential equations.

Keywords: Ordinary differential equations, Cauchy problems, Backward steps method, Carathéodory-Tonelli solution, Peano phenomenon

De Pascale Espedito, Marino G., Metafune Giorgio: On the Method of Backward Steps of Carathéodory-Tonelli. Z. Anal. Anwend. 15 (1996), 765-770. doi: 10.4171/ZAA/728