Multipoint boundary value problems for ODEs. Part II

Tadeusz Jankowski

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 4, page 843-854
  • ISSN: 0011-4642

Abstract

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We apply the method of quasilinearization to multipoint boundary value problems for ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.

How to cite

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Jankowski, Tadeusz. "Multipoint boundary value problems for ODEs. Part II." Czechoslovak Mathematical Journal 54.4 (2004): 843-854. <http://eudml.org/doc/30904>.

@article{Jankowski2004,
abstract = {We apply the method of quasilinearization to multipoint boundary value problems for ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.},
author = {Jankowski, Tadeusz},
journal = {Czechoslovak Mathematical Journal},
keywords = {quasilinearization; monotone iterations; quadratic convergence; multipoint boundary value problems; quasilinearization; monotone iterations; quadratic convergence; multipoint boundary value problems},
language = {eng},
number = {4},
pages = {843-854},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Multipoint boundary value problems for ODEs. Part II},
url = {http://eudml.org/doc/30904},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Jankowski, Tadeusz
TI - Multipoint boundary value problems for ODEs. Part II
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 4
SP - 843
EP - 854
AB - We apply the method of quasilinearization to multipoint boundary value problems for ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.
LA - eng
KW - quasilinearization; monotone iterations; quadratic convergence; multipoint boundary value problems; quasilinearization; monotone iterations; quadratic convergence; multipoint boundary value problems
UR - http://eudml.org/doc/30904
ER -

References

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