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Title: On transformations of self-adjoint linear differential systems (English)
Author: Došlý, Ondřej
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 21
Issue: 3
Year: 1985
Pages: 159-170
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Category: math
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MSC: 34C20
idZBL: Zbl 0586.34034
idMR: MR833126
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Date available: 2008-06-06T06:14:59Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107228
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Reference: [1] C. D. Ahlbrand D. B. Hinton R. T. Lewis: The effect of variable change on oscillation and disconjugate criteria with application to spectral theory.J. Math. Anal. Appl. 81 (1981) 234-277. MR 0618771
Reference: [2] E. Barvínek: Quadratic phases of differential equations y" + q(t)y = 0.Arch. Math. 8 (1972) 63-78. MR 0326037
Reference: [3] R. Bellman: Introduction to matrix analysis.McGraw-Hill New York 1971. MR 0122820
Reference: [4] D. F. St. Mary: On transformation and oscillation of linear differential systems.Canad. J. Math. 29 (1977) 392-399. Zbl 0332.34028, MR 0427744
Reference: [5] O. Došlý: A phase matrix of linear differential systems.to appear in Časopis pro pěstování matematiky. MR 0796568
Reference: [6] O. Došlý: The basic properties of phase matrices.to appear in Аrch. Math.
Reference: [7] V. А. Jakubovič: Uslovia kalebatělnosti i nekalebatělnosti linejnych kanoničeskich system.Dokl. Аkad. Nauk SSSR 124 (1959) 994-997. MR 0104880
Reference: [8] J. Radon: Zum Problem von Lagrange.Аbh. Math. Sem. Univ. Hambuгg 6 (1928) 273-279.
Reference: [9] W. T. Reid: Ordinary Differential Equations.John Wiley, New Yoгk 1971. Zbl 0212.10901, MR 0273082
Reference: [10] R. L. Sternberg: Variational methods and non-oscillatory theorems for systems of differential equations.Duke Math. J. 19 (1952) 311-322. MR 0048668
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