Bibliography
Bernstein, B., andC. Truesdell: The solution of linear differential systems by quadratures. J. reine angew. Math.197, 104–111 (1957).
Chen, K. T.: Formal differential equations. Ann. Math.73, 110–133 (1961).
Chevalley, C.: Theory of Lie Groups. Princeton University Press 1946.
Chevalley, C.: Theorie des groupes de Lie. III. Paris: Hermann 1955.
Coddington, E. A., andN. Levinson: Theory of ordinary differential equations. London-New York-Toronto: McGraw-Hill 1955.
Kolchin, E. R.: Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations. Ann. Math.49, 1–42 (1948).
Kowalewski, G.: Einführung in die Theorie der kontinuierlichen Gruppen. Leipzig: Akademische Verlagsgesellschaft m. b. H. 1953.
Kowalewski, G.: Integrationsmethoden der Lieschen Theorie. Leipzig: Akademische Verlagsgesellschaft m. b. H. 1933.
Lie, S.: Vorlesungen über Differentialgleichungen. Leipzig: Druck und Verlag von B. G. Teubner 1891.
Pontrjagin, L. S.: Topologische Gruppen, 2. Stuttgart: B. G. Teubner 1958.
Samelson, H.: Topology of Lie groups. Bull. Am. Math. Soc.58, 2–37 (1952).
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A part of the work was done when the author was supported by National Science Foundation through Institute for Advanced Study during the period from December, 1960, to February, 1961.
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Chen, KT. Decomposition of differential equations. Math. Ann. 146, 263–278 (1962). https://doi.org/10.1007/BF01470955
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DOI: https://doi.org/10.1007/BF01470955