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Approximation Methods for Solving the Cauchy Problem

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Publication:3366752
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DOI10.1007/s10587-005-0058-1zbMath1081.34009OpenAlexW2054254179MaRDI QIDQ3366752

Cristinel Mortici

Publication date: 14 February 2006

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30981


zbMATH Keywords

Cauchy problemPicard theoremLipschitz functioncontractions principlesuccesive approximations method


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) Nonlinear ordinary differential equations and systems (34A34)


Related Items (2)

The distance between fixed points of some pairs of maps in Banach spaces and applications to differential systems ⋮ Further developments to the decomposition method for solving singular initial-value problems



Cites Work

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