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On the properties of central dispersions of linear second order differential equations being of finite type-special. (English) Zbl 0713.34012

Based on the concepts given for the second order differential equation \(y''=q(t)y\) in his previous paper [ibid. 88, Math. 26, 95–130 (1987; Zbl 0708.34011)], the author discusses the relations between the special central dispersions and their derivatives and between the central dispersions and the phases of the oscillatory equation.

MSC:

34A30 Linear ordinary differential equations and systems

Citations:

Zbl 0708.34011

References:

[1] Borůvka O.: Lineare Differentialtransformationen 2.0rdnung. VEB OVW, Berlin (1967).
[2] Tesaříková E.: To the theory of central dispersions for the linear differential equations y” \blacksquare qCOy of a finite type-special. Acta Univ.Palackianae Olomucensis Olomouc, Fac.Rer.Nat. 88 (1987). · Zbl 0708.34011
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