| Title: | Asymptotic properties of derivatives of central dispersions of the $k$-th kind for the differential equation $y''=q(t)y$ (English) | 
| Author: | Staněk, Svatoslav | 
| Language: | English | 
| Journal: | Czechoslovak Mathematical Journal | 
| ISSN: | 0011-4642 (print) | 
| ISSN: | 1572-9141 (online) | 
| Volume: | 27 | 
| Issue: | 4 | 
| Year: | 1977 | 
| Pages: | 644-662 | 
| Summary lang: | Russian | 
| . | 
| Category: | math | 
| . | 
| MSC: | 34C10 | 
| idZBL: | Zbl 0402.34020 | 
| idMR: | MR0460794 | 
| DOI: | 10.21136/CMJ.1977.101502 | 
| . | 
| Date available: | 2008-06-09T14:26:12Z | 
| Last updated: | 2020-07-28 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/101502 | 
| . | 
| Reference: | [1] Bartušek M.: Connection between asymptotic properties and zeros of solutions of $y'' = q(t)y$.Arch. Math. 3, scripta fac. sci. nat. UJEP Brunensis, VIII : 113 - 124, 1972. MR 0340715 | 
| Reference: | [2] Bartušek M.: On asymptotic properties and distribution of zeros of solutions of $y'' = q(t)y$.Acta F.R.N. Univ. Comenianae Math. XXXII (1975), 69-86. MR 0539861 | 
| Reference: | [3] Bartušek M.: On asymptotic behaviour of central dispersions of linear differential equations of the second order.Časopis pro pěstování matematiky, 100 (1975), 255-260. MR 0387704 | 
| Reference: | [4] Borůvka O.: Linear Differential Transformations of the Second Order.The English Universities Press Ltd, London 1971. MR 0463539 | 
| Reference: | [5] Hartman P.: Ordinary differential equations.(in Russian), Moscow 1970. Zbl 0214.09101 | 
| Reference: | [6] Neuman F.: A Role of Abel's Equation in the Stability Theory of Differential Equations.Aequat. Math. 6 (1971), 66-70. Zbl 0215.43803, MR 0299899, 10.1007/BF01833239 | 
| Reference: | [7] Neuman F.: Distribution of zeros of solutions of $y'' = q(t) y$ in relation to their behaviour in large.Studia Sci. Math. Hungar. 8 (1973), 177-185. Zbl 0286.34050, MR 0333344 | 
| Reference: | [8] Staněk S.: Asymptotic properties of dispersions of the differential equations $y'' = q(t) y$.Arch. Math. 2, scripta fac. sci. nat. UJEP Brunensis XI: 85-98, 1975. MR 0407379 | 
| Reference: | [9] Staněk S.: On asymptotic properties of central dispersions of the $k$-th kind of $y'' = q(t) у$ with $k = 1, 2, 3, 4$.Arch. Math. 2, scripta fac. sci. nat. UJEP Brunensis ХII, 87-98, 1976. | 
| Reference: | [10] Tricomi F. G.: Differential equations.(in Russian), Moscow 1968. | 
| . |