Boundary value problems for ODEs

Tadeusz Jankowski

Czechoslovak Mathematical Journal (2003)

  • Volume: 53, Issue: 3, page 743-756
  • ISSN: 0011-4642

Abstract

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We use the method of quasilinearization to boundary value problems of 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. "Boundary value problems for ODEs." Czechoslovak Mathematical Journal 53.3 (2003): 743-756. <http://eudml.org/doc/30812>.

@article{Jankowski2003,
abstract = {We use the method of quasilinearization to boundary value problems of 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; quasilinearization; monotone iterations; quadratic convergence},
language = {eng},
number = {3},
pages = {743-756},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Boundary value problems for ODEs},
url = {http://eudml.org/doc/30812},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Jankowski, Tadeusz
TI - Boundary value problems for ODEs
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 3
SP - 743
EP - 756
AB - We use the method of quasilinearization to boundary value problems of 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; quasilinearization; monotone iterations; quadratic convergence
UR - http://eudml.org/doc/30812
ER -

References

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  4. 10.1016/0362-546X(94)00281-L, Nonlinear Anal. 27 (1996), 223–227. (1996) MR1389479DOI10.1016/0362-546X(94)00281-L
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  6. 10.1016/0362-546X(95)00021-M, Nonlinear Anal. 27 (1996), 143–151. (1996) MR1389474DOI10.1016/0362-546X(95)00021-M
  7. 10.1155/S1048953394000420, J.  Appl. Math. Stoch. Anal. 7 (1994), 545–552. (1994) MR1310927DOI10.1155/S1048953394000420
  8. Generalized Quasilinearization for Nonlinear Problems, Kluwer Academic Publishers, Dordrecht, Boston, London, 1998. (1998) MR1640601
  9. Remarks on first order differential equations with anti-periodic boundary conditions, Nonlinear Times Digest 2 (1995), 83–94. (1995) Zbl0832.34018MR1333336

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