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.
Reviewer: Ge Weigao


34A30 Linear ordinary differential equations and systems


Zbl 0708.34011
Full Text: EuDML


[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.