Asymptotic properties of derivatives of central dispersions of the $k$-th kind for the differential equation $y''=q(t)y$
Czechoslovak Mathematical Journal, Tome 27 (1977) no. 4, pp. 644-662
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DOI : 10.21136/CMJ.1977.101502
Classification : 34C10
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Staněk, Svatoslav. Asymptotic properties of derivatives of central dispersions of the $k$-th kind for the differential equation $y''=q(t)y$. Czechoslovak Mathematical Journal, Tome 27 (1977) no. 4, pp. 644-662. doi: 10.21136/CMJ.1977.101502

[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

[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

[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

[4] Borůvka O.: Linear Differential Transformations of the Second Order. The English Universities Press Ltd, London 1971. | MR

[5] Hartman P.: Ordinary differential equations. (in Russian), Moscow 1970. | Zbl

[6] Neuman F.: A Role of Abel's Equation in the Stability Theory of Differential Equations. Aequat. Math. 6 (1971), 66-70. | DOI | MR | Zbl

[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. | MR | Zbl

[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

[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.

[10] Tricomi F. G.: Differential equations. (in Russian), Moscow 1968.

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