| Title:
|
Équations différentielles ordinaires dans les espaces des fonctions bornées (French) |
| Title:
|
Ordinary differential equations in spaces of bounded functions (English) |
| Author:
|
Volkmann, Peter |
| Language:
|
French |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
35 |
| Issue:
|
2 |
| Year:
|
1985 |
| Pages:
|
201-211 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34G20 |
| MSC:
|
45N05 |
| idZBL:
|
Zbl 0579.34047 |
| idMR:
|
MR787125 |
| DOI:
|
10.21136/CMJ.1985.102011 |
| . |
| Date available:
|
2008-06-09T15:04:34Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102011 |
| . |
| Reference:
|
[1] A. Cellina: On the nonexistence of solutions of differential equations in nonreflexive spaces.Bull. Amer. Math. Soc. 78 (1972), 1069-1072. Zbl 0277.34066, MR 0312017, 10.1090/S0002-9904-1972-13114-8 |
| Reference:
|
[2] K. Deimling: Ordinary differential equations in Banach spaces.Springer-Verlag Berlin et al. 1977. Zbl 0361.34050, MR 0463601 |
| Reference:
|
[3] J. Dieudonné: Deux exemples singuliers d'équations différentielles.Acta Sci. Math. 12B (1950), 38-40. Zbl 0037.06002, MR 0035397 |
| Reference:
|
[4] S. W. Du, V. Lakshmikantham: Monotone iterative technique for differential equations in a Banach space.J. Math. Analysis Appl. 87 (1982), 454-459. Zbl 0523.34057, MR 0658024, 10.1016/0022-247X(82)90134-2 |
| Reference:
|
[5] J. Dugundji, A. Granas: Fixed point theory, I.Panstwowe Wydawnictwo Naukowe Warszawa 1982. MR 0660439 |
| Reference:
|
[6] С. Kuratowski: Sur les espaces complets.Fundamenta Math. 15 (1930), 301 - 309. 10.4064/fm-15-1-301-309 |
| Reference:
|
[7] V. Lakshmikantham, S. Leela: Nonlinear differential equations in abstract spaces.Pergamon Press Oxford et al. 1981. Zbl 0456.34002, MR 0616449 |
| Reference:
|
[8] R. H. Martin, Jr.: Approximation and existence of solutions to ordinary differential equations in Banach spaces.Funkcialaj Ekvac. 16 (1973), 195-211. Zbl 0296.34058, MR 0352641 |
| Reference:
|
[9] R. H. Martin, Jr.: Differential equations on closed subsets of a Banach space.Trans. Amer. Math. Soc. 179 (1973), 399-414. Zbl 0293.34092, MR 0318991, 10.1090/S0002-9947-1973-0318991-4 |
| Reference:
|
[10] R. H. Martin, Jr.: Nonlinear operators and differential equations in Banach spaces.John Wiley & Sons New York et al. 1976. Zbl 0333.47023, MR 0492671 |
| Reference:
|
[11] M. Nagumo: Über die Lage der Integralkurven gewöhnlicher Differentialgleichungen.Proc. Phys.-Math. Soc. Japan, III. Ser. 24 (1942), 551-559. Zbl 0061.17204, MR 0015180 |
| Reference:
|
[12] Б. А. Шyвар, M. И. Копач: О двусторонних интегральных неравенствах типа Вольтерра со многими независимыми переменными.Ukrain. Mat. Žurn. 33 (1981), 848-853. Zbl 0625.60058 |
| Reference:
|
[13] P. Volkmann: Über die Existenz von Lösungen der Differentialgleichung $u' = f(u)$ in einer abgeschlossenen Menge, wenn $f$ eine $k$-Mengenkontraktion ist.Lecture Notes Math. 564 (1976), 496-503. Zbl 0341.34053, MR 0598067, 10.1007/BFb0087367 |
| Reference:
|
[14] P. Volkmann: Ein Existenzsatz für gewöhnliche Differentialgleichungen in Banachräumen.Proc. Amer. Math. Soc. 80 (1980), 297-300. Zbl 0506.34051, MR 0577763 |
| Reference:
|
[15] P. Volkmann: On the convergence of approximate solutions for аn initial value problem in Banach spaces.Nonlinear Analysis 7 (1983), 217-222. MR 0688776, 10.1016/0362-546X(83)90083-4 |
| Reference:
|
[16] P. Volkmann (П. Фолькманн): Заметка об интегральных неравенствах типа Вольтерра.Ukrain. Mat. Žurn. 36 (1984), 393-395. Zbl 0582.34003, MR 0749738 |
| Reference:
|
[17] P. Volkmann: Einschließung der Lösungen von Systemen gewöhnlicher Differentialgleichungen.General Inequalities 4 (4th International Conference on General Inequalities, Oberwolfach 1983) Birkhäuser Verlag Basel 1984, 351-357. MR 0821812 |
| Reference:
|
[18] E. Zeidler: Vorlesungen über nichtlineare Funktionalanalysis, I: Fixpunktsätze.Теubnег Verlagsgesellschaft Leipzig 1976. Zbl 0326.47053, MR 0473927 |
| . |
