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Title: On existence of singular solutions of $n$-th order differential equations (English)
Author: Bartušek, Miroslav
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 36
Issue: 5
Year: 2000
Pages: 395-404
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Category: math
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MSC: 34C11
idZBL: Zbl 1090.34536
idMR: MR1822807
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Date available: 2008-06-06T22:26:45Z
Last updated: 2012-05-10
Stable URL: http://hdl.handle.net/10338.dmlcz/107752
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Reference: 1. I. V. Astashova: On Asymptotic Behaviour of Solutions of Some Nonlinear Differential Equations.Dokl. Raz. Zas. Sem. Ins. Prikl. Mat. Tbilisi University, 1 (1985), 9-11.
Reference: 2. T. A. Chanturia: On Singular Solutions of Nonlinear Systems of Ordinary Differential Equations.Coll. Math. Soc. J. Bolyai, In: “15. Diff. Equations” (1975), 107-119. MR 0591720
Reference: 3. T. A. Chanturia: On Existence of Singular and Unbounded Oscillatory Solutions of Differential Equations of Emden–Fowler Type.Dif. Urav. 28 (1992), 1009-1022. MR 1198158
Reference: 4. J. Jaroš T. Kusano: On Black Hole Solutions of Second Order Differential Equations with a Singularity in the Differential Operator.Funk. Ekv. (to appear).
Reference: 5. I. Kiguradze: Asymptotic Properties of Solutions of a Nonlinear Differential Equation of Emden–Fowler Type.Izvestiya Akad. Nauk SSSR. Ser. Mat. 29 (1965), 965–986. MR 0190459
Reference: 6. I. Kiguradze: On the Oscilation of Solutions of the Equation \frac{d^m u}{dt^m} + a(t) |u|^n sgn u.Mat. Sbornik 65 (1964), 172–187. Zbl 0135.14302, MR 0173060
Reference: 7. I. Kiguradze: Some singular Boundary Value Problems for Ordinary Differential Equations.Tbilisi University Press, Tbilisi, (1975). MR 0499402
Reference: 8. I. Kiguradze G. Kvinikadze: On Strongly Increasing Solutions of Nonlinear Ordinary Differential Equations.Ann. Math. Pura ed Appl. 130 (1982), 67–87. MR 0663965
Reference: 9. I. Kiguradze T. A. Chanturia: Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations.Kluwer Acad. Pub., Dordrecht–Boston–London, (1993). MR 1220223
Reference: 10. D. Mirzov: Asymptotic Properties of Solutions of Systems of Nonlinear Nonautonomous Ordinary Differential Equations.Adygea, Majkop, (1993).
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