On the method of backward steps of Carathéodory-Tonelli

DOI10.4171/ZAA/728zbMath0857.34027OpenAlexW2028089665MaRDI QIDQ1924317

Giuseppe Marino, Metafune, Giorgio, Espedito De Pascale

Publication date: 14 October 1996

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/728

zbMATH Keywords

convergenceCauchy problemordinary differential equationsCarathéodory-Tonelli method of backward steps

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• Teoremi di esistenza per sistemi seml semilineari di equazioni a derivate parziali in piu variabili indipendenti
• Sul problema di Picard in ipotesi di Caratheodory
• A Noncontractive Fixed Point Theorem
• Liapunov Functions and Global Existence without Uniqueness
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