Abstract
By the method of characteristic matrix functions, we construct asymptotic representations of solutions of a system ofq linearn th-order differential equations with a singularity of rankp/r, p, r∈ ℕ, in a sector of the complex plane whose central angle does not exceed πr/p.
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References
N. N. Ivanyuk,Investigation of Solutions of a Linear System of n th-Order Differential Equations in the Vicinity of Singularities [in Russian], Candidate Degree Thesis (Physics and Mathematics), Khmel'nitskii (1989).
A. Vazov,Asymptotic Expansions of Solutions of Ordinary Differential Equations [in Russian], Vysshaya Shkola, Moscow (1962).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 9, pp. 1148–1155, September, 1994.
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Ivanyuk, N.N. Construction of asymptotic representations of solutions from the classL τρ for systems of differential equations by the method of characteristic matrix functions. Ukr Math J 46, 1263–1271 (1994). https://doi.org/10.1007/BF01059417
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DOI: https://doi.org/10.1007/BF01059417