Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblHerzog, Gerd. On Lipschitz conditions for ordinary differential equations in Fréchet spaces. Czechoslovak Mathematical Journal, Tome 48 (1998) no. 1, pp. 95-103. http://geodesic.mathdoc.fr/item/CMJ_1998_48_1_a8/
@article{CMJ_1998_48_1_a8,
author = {Herzog, Gerd},
title = {On {Lipschitz} conditions for ordinary differential equations in {Fr\'echet} spaces},
journal = {Czechoslovak Mathematical Journal},
pages = {95--103},
year = {1998},
volume = {48},
number = {1},
mrnumber = {1614009},
zbl = {0930.34042},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_1998_48_1_a8/}
}
[De] K. Deimling: Ordinary differential equations in Banach spaces. Lecture Notes in Mathematics 596, Springer, 1977. | DOI | MR | Zbl
[Dz] Sh. T. Dzhabbharov: A generalized contraction-mapping principle and infinite systems of differential equations. Diff. Eqs. 26 (1990), 944–952. | MR
[Go] A. N. Godunov, A. P. Durkin: Differential equations in linear topological spaces. Moscow Univ. Math. Bull. 24 (1969), 93–100. | MR
[He1] G. Herzog: Über gewöhnliche Differentialgleichungen in Frécheträumen. Dissertation, Univ. Karlsruhe, 1992. | Zbl
[He2] G. Herzog: On ordinary linear differential equations in $J$. Demonstratio Math. 28 (1995), 383–398. | MR
[He3] G. Herzog: On existence and uniqueness conditions for ordinary differential equations in Fréchet spaces. Studia Sci. Math. Hungar. 32 (1996), 367–375. | MR | Zbl
[Ko] K. H. Körber: Das Spektrum zeilenfiniter Matrizen. Math. Ann. 181 (1969), 8–34. | DOI | MR
[Le1] R. Lemmert, Ä. Weckbach: Charakterisierungen zeilenendlicher Matrizen mit abzählbarem Spektrum. Math. Z. 188 (1984), 119–124. | DOI | MR
[Le2] R. Lemmert: On ordinary differential equations in locally convex spaces. Nonlinear Analysis 10 (1986), 1385–1390. | DOI | MR | Zbl
[Lo] S. G. Lobanov: Solvability of linear ordinary differential equations in locally convex spaces. Moscow Univ. Math. Bull. 35 (1980), 1–5. | MR | Zbl
[Mo] K. Moszyński, A. Pokrzywa: Sur les systèmes infinis d’équations différentielles ordinaires dans certains espaces de Fréchet. Dissertationes Math. CXV, 1974.
[Sch] J. Schröder: Iterationsverfahren bei allgemeinerem Abstandsbegriff. Math. Z. 66 (1956), 111–116. | DOI | MR
[Ul] H. Ulm: Elementarteilertheorie unendlicher Matrizen. Math. Ann. 114 (1937), 493–505. | DOI | MR | Zbl
[Wi] J. H. Williamson: Spectral representation of linear transformations in $\omega $. Proc. Cambridge Philos. Soc. 47 (1951), 461–472. | MR | Zbl