| Title:
|
Higher-order differential systems and a regularization operator (English) |
| Author:
|
Calábek, Pavel |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
124 |
| Issue:
|
4 |
| Year:
|
1999 |
| Pages:
|
337-349 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Carathéodory functions |
| Keyword:
|
Arzelà-Ascoli theorem |
| Keyword:
|
Lebesgue theorem |
| MSC:
|
34A45 |
| MSC:
|
34B10 |
| MSC:
|
34B15 |
| idZBL:
|
Zbl 0937.34015 |
| idMR:
|
MR1722872 |
| DOI:
|
10.21136/MB.1999.125996 |
| . |
| Date available:
|
2009-09-24T21:38:47Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125996 |
| . |
| Reference:
|
[1] P. Calábek: A four-point problem for second-order differential systems.Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 114, 7-15. MR 1385740 |
| Reference:
|
[2] P. Calábek: Second-order differentiai systems and a regularization operator.Ann. Math. Sil. 10, 67-78. MR 1399611 |
| Reference:
|
[3] S. Fučík O. John A. Kufner: Function Spaces.Academia, Prague, 1977. MR 0482102 |
| Reference:
|
[4] K. Yosida: Functional Analysis.6-th edition, Springer-Verlag, BerІin, 1980. Zbl 0435.46002, MR 0617913 |
| Reference:
|
[5] 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. MR 1103033 |
| Reference:
|
[6] 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.) Zbl 0782.34025, MR 0925829 |
| . |
