Higher-order differential systems and a regularization operator
Mathematica Bohemica (1999)
- Volume: 124, Issue: 4, page 337-349
- ISSN: 0862-7959
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topCalábek, Pavel. "Higher-order differential systems and a regularization operator." Mathematica Bohemica 124.4 (1999): 337-349. <http://eudml.org/doc/248470>.
@article{Calábek1999,
abstract = {Sufficient conditions for the existence of solutions to boundary value problems with a Caratheodory right hand side for ordinary differential systems are established by means of continuous approximations.},
author = {Calábek, Pavel},
journal = {Mathematica Bohemica},
keywords = {Carathéodory functions; Arzelà-Ascoli theorem; Lebesgue theorem; Carathéodory functions; Arzelà-Ascoli theorem; Lebesgue theorem},
language = {eng},
number = {4},
pages = {337-349},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Higher-order differential systems and a regularization operator},
url = {http://eudml.org/doc/248470},
volume = {124},
year = {1999},
}
TY - JOUR
AU - Calábek, Pavel
TI - Higher-order differential systems and a regularization operator
JO - Mathematica Bohemica
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 124
IS - 4
SP - 337
EP - 349
AB - Sufficient conditions for the existence of solutions to boundary value problems with a Caratheodory right hand side for ordinary differential systems are established by means of continuous approximations.
LA - eng
KW - Carathéodory functions; Arzelà-Ascoli theorem; Lebesgue theorem; Carathéodory functions; Arzelà-Ascoli theorem; Lebesgue theorem
UR - http://eudml.org/doc/248470
ER -
References
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- P. Calábek, Second-order differentiai systems and a regularization operator, Ann. Math. Sil. 10, 67-78. MR1399611
- S. Fučík O. John A. Kufner, Function Spaces, Academia, Prague, 1977. (1977) MR0482102
- K. Yosida, Functional Analysis, 6-th edition, Springer-Verlag, BerІin, 1980. (1980) Zbl0435.46002MR0617913
- A. Granas R. Guenther J. Lee, Some existence principies in the Carathéodory theory of nonlinear differential systems, J. Math. Pures Appl. 70 (1991), 153-196. (1991) MR1103033
- I. T. Kiguradze, Boundary value problems for systems of ordinary differential equations, Itogi nauki i tehniki, ser. Sovr. problemy matematiki. Nov. dostizhenija. t. 30, VINITI, Moskva, 1987, pp. 3-103. (In Russian.) (1987) Zbl0782.34025MR0925829
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