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Article

Title: Linear perturbations of a constant coefficient differential equation subject to mild integral smallness conditions (English)
Author: Trench, William F.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 36
Issue: 4
Year: 1986
Pages: 623-633
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Category: math
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MSC: 34E05
idZBL: Zbl 0623.34059
idMR: MR863192
DOI: 10.21136/CMJ.1986.102121
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Date available: 2008-06-09T15:13:22Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102121
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Reference: [1] O. Dunkel: Regular singular points of a system of homogeneous linear differential equations of the first order.Proc. Amer. Acad. Arts Sci. 38 (1902-3), 341 - 370.
Reference: [2] P. Hartman: Ordinary Differential Equations.John Wiley, New York, 1964. Zbl 0125.32102, MR 0171038
Reference: [3] J. Šimša: Asymptotic integration of perturbed linear differential equations under conditions involving ordinary integral convergence.SIAM J. Math. Anal. 15 (1984), 116-123. MR 0728686, 10.1137/0515007
Reference: [4] J. Šimša: The second order differential equation with oscillatory coefficient.Arch. Math. (Brno) 18 (1982), 95-100. MR 0683351
Reference: [5] J. Šimša: The condition of ordinary integral covergence in the asymptotic theory of linear differential equations with almost constant coefficients.SIAM J. Math. Anal., 16 (1985), 757-769. MR 0793920, 10.1137/0516057
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