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Asymptotics of solutions of a second-order linear differential system with a special right-hand side. (English. Russian original) Zbl 0706.34051

Sib. Math. J. 31, No. 2, 260-263 (1990); translation from Sib. Mat. Zh. 31, No. 2(180), 89-93 (1990).
The authors present construction and asymptoticity of a formal solution to a linear system of two equations of the first order \(Y'=[I(\mu)+A(t)]Y+B(t),\) where I(\(\mu\)) is Jordan block (matrix) with eigenvalue \(\mu\) of the second order, A(t) is a square matrix with infinite series as its elements and B(t) is a column vector with elements equal to \(e^{\lambda t}\sum^{m_ i}_{n=-\infty}b_{in}t^ n\), \(i=1,2\).
Reviewer: M.Greguš

MSC:

34E05 Asymptotic expansions of solutions to ordinary differential equations
34A30 Linear ordinary differential equations and systems
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References:

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