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Stanek, Svatoslav

Asymptotic properties of derivatives of central dispersions of the k-th kind for the differential equation y”=q(t)y. (English) Zbl 0402.34020

Czech. Math. J. 27(102), 644-662 (1977).
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MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34E99 Asymptotic theory for ordinary differential equations

Keywords:

Oscillation of Solutions; Asymptotic Behaviour of Derivatives of Central Dispersions

Citations:

Zbl 0222.34002
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\textit{S. Stanek}, Czech. Math. J. 27(102), 644--662 (1977; Zbl 0402.34020)
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References:

[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. · Zbl 0282.34023
[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. · Zbl 0322.34021
[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. · Zbl 0306.34042
[4] Borůvka O.: Linear Differential Transformations of the Second Order. The English Universities Press Ltd, London 1971. · Zbl 0218.34005
[5] Hartman P.: Ordinary differential equations. (in Russian), Moscow 1970. · Zbl 0214.09101
[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
[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
[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.
[9] Staněk S.: On asymptotic properties of central dispersions of the \(k\)-th kind of \(y'' = q(t) u\) with \(k = 1, 2, 3, 4\). Arch. Math. 2, scripta fac. sci. nat. UJEP Brunensis XII, 87-98, 1976.
[10] Tricomi F. G.: Differential equations. (in Russian), Moscow 1968.
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