Necessary and sufficient conditions for the convergence of approximate Picard's iterates for nonlinear boundary value problems
Ravi P. Agarwal; Jaromír Vosmanský
Archivum Mathematicum (1985)
- Volume: 021, Issue: 3, page 171-175
- ISSN: 0044-8753
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topAgarwal, Ravi P., and Vosmanský, Jaromír. "Necessary and sufficient conditions for the convergence of approximate Picard's iterates for nonlinear boundary value problems." Archivum Mathematicum 021.3 (1985): 171-175. <http://eudml.org/doc/18166>.
@article{Agarwal1985,
author = {Agarwal, Ravi P., Vosmanský, Jaromír},
journal = {Archivum Mathematicum},
keywords = {Picard's iterates; approximate sequence; convergence; generalized norm space; spectral radius; error criterion},
language = {eng},
number = {3},
pages = {171-175},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Necessary and sufficient conditions for the convergence of approximate Picard's iterates for nonlinear boundary value problems},
url = {http://eudml.org/doc/18166},
volume = {021},
year = {1985},
}
TY - JOUR
AU - Agarwal, Ravi P.
AU - Vosmanský, Jaromír
TI - Necessary and sufficient conditions for the convergence of approximate Picard's iterates for nonlinear boundary value problems
JO - Archivum Mathematicum
PY - 1985
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 021
IS - 3
SP - 171
EP - 175
LA - eng
KW - Picard's iterates; approximate sequence; convergence; generalized norm space; spectral radius; error criterion
UR - http://eudml.org/doc/18166
ER -
References
top- R. P. Agarwal, On Urabe's application of Newton's method to nonlinear boundary value problems, Arch. Math. (Brno) T 20 (1984), 113-123. (1984) Zbl0572.34020MR0784862
- R. P. Agarwal, Contraction and approximate contraction with an application to multi-point boundary value problems, J. Comp. Appl. Math. 9 (1983) 315-325. (1983) Zbl0546.65060MR0729235
- R. P. Agarwal, J. Vosmanský, Two-point boundary value problems for second order systems, Arch. Math. (Brno) T 19 (1983), 1-8. (1983) MR0724304
- J. M. Ortega, W. C. Rheinboldt, On a class of approximate iterative processes, Arch. Rational Meth. Anal. 23 (1967), 352-365. (1967) Zbl0149.11002MR0207167
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