×

zbMATH — the first resource for mathematics

Differential equations and differential calculus in Montel spaces. (English) Zbl 0119.11802

PDF BibTeX XML Cite
Full Text: DOI
References:
[1] N. Bourbaki, Eléments de mathématique. XV. Première partie: Les structures fondamentales de l’analyse. Livre V: Espaces vectoriels topologiques. Chapitre I: Espaces vectoriels topologiques sur un corps valué. Chapitre II: Ensembles convexes et espaces localement convexes, Actualités Sci. Ind., no. 1189, Herman & Cie, Paris, 1953 (French). · Zbl 0050.10703
[2] -, Espace vectoriels topologique, Chapters III, IV, V, Hermann, Paris, 1955.
[3] Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955. · Zbl 0064.33002
[4] J. Dieudonné, Deux exemples singuliers d’équations différentielles, Acta Sci. Math. Szeged 12 (1950), no. Leopoldo Fejér et Frederico Riesz LXX annos natis dedicatus, Pars B, 38 – 40 (French). · Zbl 0037.06002
[5] Jesús Gil de Lamadrid, Topology of mappings and differentiation processes, Illinois J. Math. 3 (1959), 408 – 420. · Zbl 0116.32803
[6] T. H. Hildebrandt and Lawrence M. Graves, Implicit functions and their differentials in general analysis, Trans. Amer. Math. Soc. 29 (1927), no. 1, 127 – 153. · JFM 53.0234.02
[7] D. H. Hyers, Linear topological spaces, Bull. Amer. Math. Soc. 51 (1945), 1 – 21. · Zbl 0060.26501
[8] Michael Kerner, Die Differentiale in der allgemeinen Analysis, Ann. of Math. (2) 34 (1933), no. 3, 546 – 572 (German). · Zbl 0007.25002
[9] A. D. Michal and V. Elconin, Completely integrable differential equations in abstract spaces Acta Math. 68 (1937), 71-107. · Zbl 0016.30704
[10] Laurent Schwartz, Théorie des distributions à valeurs vectorielles. I, Ann. Inst. Fourier, Grenoble 7 (1957), 1 – 141 (French). · Zbl 0089.09601
[11] Laurent Schwartz, Théorie des distributions à valeurs vectorielles. II, Ann. Inst. Fourier. Grenoble 8 (1958), 1 – 209 (French). · Zbl 0089.09801
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.