Quasilinearization for the periodic boundary value problem for hybrid differential equation
Open Mathematics (2004)
- Volume: 2, Issue: 2, page 250-259
- ISSN: 2391-5455
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topL. Hall, and S. Hristova. "Quasilinearization for the periodic boundary value problem for hybrid differential equation." Open Mathematics 2.2 (2004): 250-259. <http://eudml.org/doc/268719>.
@article{L2004,
abstract = {The method of quasilinearization for a periodic boundary value problem for nonlinear hybrid differential equations is studied. It is shown that the convergence is quadratic.},
author = {L. Hall, S. Hristova},
journal = {Open Mathematics},
keywords = {hybrid differential equations; periodic boundary value problem; quasilinearization; quadratic convergence; MSC (2000); 34K10; 34B15; 34K25; hybrid systems},
language = {eng},
number = {2},
pages = {250-259},
title = {Quasilinearization for the periodic boundary value problem for hybrid differential equation},
url = {http://eudml.org/doc/268719},
volume = {2},
year = {2004},
}
TY - JOUR
AU - L. Hall
AU - S. Hristova
TI - Quasilinearization for the periodic boundary value problem for hybrid differential equation
JO - Open Mathematics
PY - 2004
VL - 2
IS - 2
SP - 250
EP - 259
AB - The method of quasilinearization for a periodic boundary value problem for nonlinear hybrid differential equations is studied. It is shown that the convergence is quadratic.
LA - eng
KW - hybrid differential equations; periodic boundary value problem; quasilinearization; quadratic convergence; MSC (2000); 34K10; 34B15; 34K25; hybrid systems
UR - http://eudml.org/doc/268719
ER -
References
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- [9] V. Lakshmikantham, N. Shahzad and J.J. Nieto: “Method of generalized quasilinearization for periodic boundary value problems, Nonlinear Analysis, Vol. 27, (1996), pp. 143–151. http://dx.doi.org/10.1016/0362-546X(95)00021-M Zbl0855.34011
- [10] V. Lakshmikantham and A.S. Vatsala: Generalized Quasilinearization for Nonlinear Problems, Kluwer Academic Publishers, 1998. Zbl0997.34501
- [11] A. Nerode and W. Kohn: Medels in Hybrid Systems, Lecture Notes in Computer Science, Vol. 36, Springer Verlag, Berlin, 1993.
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