To the theory of global transformation of the second order linear differential equations of finite type, special. (English) Zbl 0754.34031

From author’s abstract (in Czech): “The transformation theory for homogeneous linear second-order differential equations, \(y''=q(t)y\), of the finite type \(m\geq 2\), which are special on the appropriate finite or infinite intervals of definition, is elaborated by means of the theory of dispersions formulated in the monograph O. Bor\D{u}vka [Lineare Differentialtransformationen 2. Ordnung. Berlin (1967; Zbl 0153.112)]. This is done for the both-sides oscillatory equations with respect to the transformation problem of Kummer”.
Reviewer: J.Andres (Olomouc)


34C20 Transformation and reduction of ordinary differential equations and systems, normal forms
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
34A30 Linear ordinary differential equations and systems


Zbl 0153.112
Full Text: EuDML


[1] Borůvka O.: Lineare Differentialtransformationen 2.Ordnung. VEB OVW, Berlin (1967). · Zbl 0153.11201
[2] Tesaříková E.: To the theory of central dispersions for the linear differential equations y” = q(t)y of a finite type - special. Acta Univ. Palackianae Olomucensis (Olomouc), Fac.Rer.Nat. 88 (1987). · 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 (Olomouc), Fac.Rer.Nat. (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 (Olomouc), Fac.Rer.Nat. (1989). · Zbl 0709.34031
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