# Higher-order differential systems and a regularization operator

Mathematica Bohemica (1999)

- Volume: 124, Issue: 4, page 337-349
- ISSN: 0862-7959

## Access Full Article

top## Abstract

top## How to cite

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

top- P. Calábek, A four-point problem for second-order differential systems, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 114, 7-15. MR1385740
- 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

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.