Literature cited
S. F. Feshchenko, N. I. Shkil', and L. D. Nikolaenko, Asymptotic Methods in the Theory of Linear Differential Equations [in Russian], Naukova Dumka, Kiev (1966).
T. K. Meiliev, “Asymptotic methods in the theory of linear systems of second-order differential and integrodifferential equations with a small parameter,” Author's Abstract of Candidate's Dissertation, Physicomathematical Sciences, Kiev (1980).
E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York (1955).
N. I. Shkil', “Some asymptotic methods in the theory of differential equations with slowly varying coefficients,” Author's Abstract of Candidate's Dissertation, Physicomathematical Sciences, Kiev (1968).
F. R. Gantmacher, The Theory of Matrices, Chelsea Publ.
N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1974).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 35, No. 1, pp. 101–103, January–February, 1983.
Rights and permissions
About this article
Cite this article
Meiliev, T.K. Construction of an asymptotic solution of a system of third-order linear differential equations with a small parameter. Ukr Math J 35, 90–92 (1983). https://doi.org/10.1007/BF01093173
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01093173