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Tesaříková, Eva

Special dispersions of the second order linear differential equations of a finite type special and their relation to the Kummer’s transformation problem. (English) Zbl 0752.34024

Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 100, Math. 30, 125-141 (1991).
Summary: This article is a contribution to the theory of dispersions for the second order linear differential equations of a finite type, special. There is investigated the relation of the special dispersions to the Kummer’s transformation problem.

MSC:

34C20 Transformation and reduction of ordinary differential equations and systems, normal forms
34A30 Linear ordinary differential equations and systems
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

Keywords:

dispersions; second order linear differential equations; Kummer’s transformation problem
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References:

[1] Borůvka O.: Lineare Differentialtransformationen 2.Ordnung. VEB Deutscher Verlag der Wissenschaften, Berlin, 1967. · Zbl 0153.11201
[2] Tesaříková E.: To the Theory of Central Dispersions of the Linear Differential Equations y” = q(t)y of a Finite Type, Special. Acta Univ. Palackianae Olomucensis, Fac.Rer.Nat. 88 (1987), 95-130. · Zbl 0708.34011
[3] Tesaříková E.: On the Properties of Central Dispersions of Linear Second Order Differential Equations being of Finite Type - Special. Acta Univ. Palackianae Olomucensis, Fac.Rer.Nat.90 (1989)) · Zbl 0713.34012
[4] Tesaříková E.: On Equations y” = q(t)y of Finite Type, 1-special, with the same Central Dispersion of the First Kind. Acta Univ. Palackianae Olomucensis, Fac.Rer.Nat. 90 (1989)) · Zbl 0709.34031
[5] Tesaříková E.: To the Theory of Global Transformation of Second Order Linear Differential Equations - Finite Type, Special. Acta Univ. Palackianae Olomucensis, Fac.Rer.Nat. 97 (1990)) · Zbl 0754.34031
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