Ordinary differential equations in spaces of bounded functions

Peter Volkmann

Czechoslovak Mathematical Journal (1985)

  • Volume: 35, Issue: 2, page 201-211
  • ISSN: 0011-4642

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Volkmann, Peter. "Équations différentielles ordinaires dans les espaces des fonctions bornées." Czechoslovak Mathematical Journal 35.2 (1985): 201-211. <http://eudml.org/doc/13506>.

@article{Volkmann1985,
author = {Volkmann, Peter},
journal = {Czechoslovak Mathematical Journal},
keywords = {Cauchy problem},
language = {fre},
number = {2},
pages = {201-211},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Équations différentielles ordinaires dans les espaces des fonctions bornées},
url = {http://eudml.org/doc/13506},
volume = {35},
year = {1985},
}

TY - JOUR
AU - Volkmann, Peter
TI - Équations différentielles ordinaires dans les espaces des fonctions bornées
JO - Czechoslovak Mathematical Journal
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 2
SP - 201
EP - 211
LA - fre
KW - Cauchy problem
UR - http://eudml.org/doc/13506
ER -

References

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  2. K. Deimling, Ordinary differential equations in Banach spaces, Springer-Verlag Berlin et al. 1977. (1977) Zbl0361.34050MR0463601
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  4. S. W. Du, V. Lakshmikantham, 10.1016/0022-247X(82)90134-2, J. Math. Analysis Appl. 87 (1982), 454-459. (1982) Zbl0523.34057MR0658024DOI10.1016/0022-247X(82)90134-2
  5. J. Dugundji, A. Granas, Fixed point theory, I, Panstwowe Wydawnictwo Naukowe Warszawa 1982. (1982) MR0660439
  6. С. Kuratowski, 10.4064/fm-15-1-301-309, Fundamenta Math. 15 (1930), 301 - 309. (1930) DOI10.4064/fm-15-1-301-309
  7. V. Lakshmikantham, S. Leela, Nonlinear differential equations in abstract spaces, Pergamon Press Oxford et al. 1981. (1981) Zbl0456.34002MR0616449
  8. R. H. Martin, Jr., Approximation and existence of solutions to ordinary differential equations in Banach spaces, Funkcialaj Ekvac. 16 (1973), 195-211. (1973) Zbl0296.34058MR0352641
  9. R. H. Martin, Jr., 10.1090/S0002-9947-1973-0318991-4, Trans. Amer. Math. Soc. 179 (1973), 399-414. (1973) Zbl0293.34092MR0318991DOI10.1090/S0002-9947-1973-0318991-4
  10. R. H. Martin, Jr., Nonlinear operators and differential equations in Banach spaces, John Wiley & Sons New York et al. 1976. (1976) Zbl0333.47023MR0492671
  11. M. Nagumo, Über die Lage der Integralkurven gewöhnlicher Differentialgleichungen, Proc. Phys.-Math. Soc. Japan, III. Ser. 24 (1942), 551-559. (1942) Zbl0061.17204MR0015180
  12. Б. А. Шyвар, M. И. Копач, О двусторонних интегральных неравенствах типа Вольтерра со многими независимыми переменными, Ukrain. Mat. Žurn. 33 (1981), 848-853. (1981) Zbl0625.60058
  13. P. Volkmann, 10.1007/BFb0087367, Lecture Notes Math. 564 (1976), 496-503. (1976) Zbl0341.34053MR0598067DOI10.1007/BFb0087367
  14. P. Volkmann, Ein Existenzsatz für gewöhnliche Differentialgleichungen in Banachräumen, Proc. Amer. Math. Soc. 80 (1980), 297-300. (1980) Zbl0506.34051MR0577763
  15. P. Volkmann, 10.1016/0362-546X(83)90083-4, Nonlinear Analysis 7 (1983), 217-222. (1983) MR0688776DOI10.1016/0362-546X(83)90083-4
  16. P. Volkmann (П. Фолькманн), Заметка об интегральных неравенствах типа Вольтерра, Ukrain. Mat. Žurn. 36 (1984), 393-395. (1984) Zbl0582.34003MR0749738
  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. (1983) MR0821812
  18. E. Zeidler, Vorlesungen über nichtlineare Funktionalanalysis, I: Fixpunktsätze, Теubnег Verlagsgesellschaft Leipzig 1976. (1976) Zbl0326.47053MR0473927

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