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Title: Some converse theorems in the asymptotic theory of ordinary differential equations (English)
Author: Šimša, Jaromír
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 38
Issue: 3
Year: 1988
Pages: 425-433
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Category: math
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MSC: 34A30
MSC: 34A55
MSC: 34E05
idZBL: Zbl 0674.34056
idMR: MR950296
DOI: 10.21136/CMJ.1988.102238
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Date available: 2008-06-09T15:22:15Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102238
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Reference: [1] P. Hartman: Ordinary Differential Equations.John Wiley, New York, 1964, Zbl 0125.32102, MR 0171038
Reference: [2] 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: [3] J. Šimša: The second order differential equation with oscillatory coefficient.Arch. Math. (Brno) 18(1982) 95-100. MR 0683351
Reference: [4] J. Šimša: The condition of ordinary integral convergence 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
Reference: [5] W. F. Trench: Asymptotic integration of linear differential equations subject to mild integral conditions.SIAM J. Math. Anal. 15 (1984) 932-942. Zbl 0567.34008, MR 0755853, 10.1137/0515070
Reference: [6] W. F. Trench: Linear perturbations of a constant coefficient differential equation subject to mild integral smallness conditions.submitted for publication. Zbl 0623.34059
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