Literature Cited
R. Nevanlinna, Sur les équations aux dériveés partielles du premier ordre. Compt. Rend.,247, 22, 1953–1954 (1958).
R. Nevanlinna, Application d'un principle de E. Goursat dans la théorie des equations aux dériveés partielles du premier ordre. Compt. Rend.,247, 23, 2087–2090 (1958).
R. Nevanlinna and F. Nevanlinna, Absolute Analysis, Grundlehren Math. Wiss. (Springer, 1959), p. 102.
A. I. Perov, n-Dimensional linear differential equations with constant coefficients. Dokl. Akad. Nauk SSSR,154, 6, 1266–1270 (1964).
A. I. Perov, Topological characteristics of the solutions of multidimensional differential equations. Dokl. Akad. Nauk SSSR,157, 4, 791–794 (1964).
T. Klemola, Über lineare partielle Differentialgleichungen erster Ordnung. Soumalais. tiedeakat. toimituks, Ser. A1, Mathematica,260, 1–35 (1961).
S. P. Finikov, Course in Differential Geometry [in Russian], GITTL, Moscow (1952).
P. R. Halmos, Finite-Dimensional Vector Spaces [Russian translation], Fizmatgiz, Moscow (1963).
H. Whitney, Geometric Integration Theory [Russian translation], IL, Moscow (1960).
I. G. Petrovskii, Lectures on the Theory of Ordinary Differential Equations [in Russian], GITTL, Moscow-Leningrad (1952).
E. Kamke, Handbook of Ordinary Differential Equations [Russian translation], Fizmatgiz, Moscow (1961).
A. I. Perov, Integral inequalities, Trudy sem. po funkts. analizu, No. 5, Voronezh (1957), pp. 5–14.
S. M. Makarov, Minor systems of differential equations and their application for determination of the invariants of the characteristic equation. Trudy Kuibishevskogo aviats. inst., No. 12 (1961), pp. 371–383.
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 7, No. 2, pp. 344–352, March–April, 1966
Rights and permissions
About this article
Cite this article
Perov, A.I. Multidimensional first-order differential equations. Soviet Mathematical Journal 7, 279–286 (1967). https://doi.org/10.1007/BF02196745
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02196745