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Title: Necessary and sufficient conditions for the convergence of approximate Picard's iterates for nonlinear boundary value problems (English)
Author: Agarwal, Ravi P.
Author: Vosmanský, Jaromír
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 21
Issue: 3
Year: 1985
Pages: 171-175
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Category: math
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MSC: 34B15
MSC: 65L10
idZBL: Zbl 0599.65056
idMR: MR833127
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Date available: 2008-06-06T06:15:02Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107229
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Reference: [1] R. P. Agarwal: On Urabe's application of Newton's method to nonlinear boundary value problems.Arch. Math. (Brno) T 20 (1984), 113-123. Zbl 0572.34020, MR 0784862
Reference: [2] R. P. Agarwal: Contraction and approximate contraction with an application to multi-point boundary value problems.J. Comp. Appl. Math. 9 (1983) 315-325. Zbl 0546.65060, MR 0729235
Reference: [3] R. P. Agarwal, J. Vosmanský: Two-point boundary value problems for second order systems.Arch. Math. (Brno) T 19 (1983), 1-8. MR 0724304
Reference: [4] J. M. Ortega, W. C. Rheinboldt: On a class of approximate iterative processes.Arch. Rational Meth. Anal. 23 (1967), 352-365. Zbl 0149.11002, MR 0207167
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