Literature Cited
É. L. Ains, Ordinary Differential Equations [in Russian], GNTIU, Khar'kov (1939).
W. Wasow, Asymptotic Expansions of Solutions of Ordinary Differential Equations, Krieger Publ., New York (1966).
M. Kohno, “A two point connection problem,” Hiroshima Math. J.,9, 61–135 (1979).
W. Balzer, W. B. Jurkat, and D. A. Lutz, “Transfer of connection problems for meromorphic differential equations of rank r≥2 and representations of solutions,” J. Math. Anal. Appl.,85, 448–542 (1982).
I. A. Lappo-Danilevskii, Application of Matrix-Functions to the Theory of Linear Systems of Ordinary Differential Equations [in Russian], GITGL, Moscow (1957).
M. A. Kovalevskii, “Difference equations to determine connection factors,” Dokl. Akad. Nauk SSSR,277, No. 6, 1315–1318 (1984).
M. A. Kovalevskii, “Integral representation of solutions and the problem of connection factors for a linear differential equation,” Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst.,140, 88–104 (1984).
K. Okubo, “A global representation of a fundamental set of solutions and Stokes phenomenon for a system of linear ordinary differential equations,” J. Math. Soc. Jpn.,15, No. 3, 268–288 (1964).
W. Balzer, W. B. Jurkat, and D. A. Lutz, “Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations,” J. Math. Anal. Appl.,71, 48–94 (1979).
A. A. Mirolyubov and M. A. Soldatov, Linear Homogeneous Difference Equations [in Russian], Nauka, Moscow (1981).
V. B. Lemidovich, “Regular linear difference systems,” Differents. Uravn.,7, No. 5, 902–909 (1971).
M. A. Kovalevskii, “Asymptotics of some generalizations of the Euler gamma-functions,” Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst.,104, 123–129 (1980).
W. Balzer, “Growth estimates for the coefficients of generalized formal solutions and representation of solutions using Laplace integral and factorial series,” Hiroshima Math. J.,12, 11–42 (1982).
M. A. Kovalevskii, “Asymptotics of a class of entire functions,” Vestn. Leningr. Gos. Univ.,19, 19–24 (1981).
M. A. Kovalevskii, “Construction of asymptotic expressions for some entire functions,” Vestn. Leningr. Gos. Univ., No. 1, 15–20 (1985).
Additional information
Leningrad. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 1, pp. 79–95, January–February, 1990.
Rights and permissions
About this article
Cite this article
Kovalevskii, M.A. Problem of connection of fundamental families of solutions for a system of linear differential equations with polynomial coefficients. Sib Math J 31, 67–81 (1990). https://doi.org/10.1007/BF00971151
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00971151