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Title: Centroaffine invariants of plane curves in connection with the theory of the second-order linear differential equations  (English)
Author: Neuman, František
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 4
Issue: 4
Year: 1968
Pages: 201-216
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Category: math
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Summary:
idZBL: Zbl 0218.34007
idMR: MR0267512
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Date available: 2008-06-05T17:53:21Z
Last updated: 2010-06-22
Stable URL: http://hdl.handle.net/10338.dmlcz/104668
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Reference: [1] Blaschke W.: Vorlesungen über Differentialgeometrie II Springer, Berlin 1923.
Reference: [2] Borůvka O.: Sur quelques applications des dispersions centrales dans la théorie des equations différentielles linéaires du deuxième ordre Archivum mathematicum (Brno), T. 1 (1965), 1-20. MR 0197823
Reference: [3] Borůvka O.: Lineare Differentialtransformationen 2. Ordnung VEB Berlin, 1967.
Reference: [4] Cesari L.: Asymptotic Behavior and Stability Problems in Ordinary Differential Equations MIR, Moscow 1964. Zbl 0121.07203, MR 0180708
Reference: [5] Neuman F.: Sur les équations differentielles linéaires oscillatoires du deuxième ordre avec la dispersion fondamentale $\varphi (t) = t + \pi$ Buletinul Inst. Polit. (Iaşi), T. X (XIV), (1964), 37-42. Zbl 0151.12202, MR 0197825
Reference: [6] Neuman F.: Criterion of Periodicity of Solutions of a Certain Differential Equation with a Periodic Coefficient Ann. di Mat. p. ed appl. (IV), T. LXXV (1967), 385-396. Zbl 0148.07104, MR 0213652
Reference: [7] Neuman F.: Extremal Property of the Equation $y" = -k^2 y$ Archivum math. (Brno), T. 3 (1967), 161-164. MR 0236465
Reference: [8] Neuman F.: Relation between the Distribution of the Zeros of the Solutions of a 2nd Order Linear Differential Equation and the Boundedness of these Solutions Acta Math., T. XIX (1968), p. 1-6. MR 0228750
Reference: [9] Santaló L. A.: Introduction to Integral Geometry Hermann, Paris 1953. MR 0060840
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