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On the existence and uniqueness of solution of boundary‐value problem for differential equations with parameter
Author(s) -
Jankowski Tadeusz,
Kwapisz Marian
Publication year - 1976
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19760710119
Subject(s) - uniqueness , citation , value (mathematics) , mathematics , boundary (topology) , computer science , library science , mathematical analysis , statistics
summary:In the present paper we are concerned with the problem of numerical solution of ordinary differential equations with parameters. Our method is based on a one-step procedure for IDEs combined with an iterative process. Simple sufficient conditions for the convergence of this method are obtained. Estimations of errors and some numerical examples are given