On phases of accompanying spaces to a linear two-dimensional space of functions with a continuous first derivative. (English) Zbl 0551.34003

Kojecká, Jitka

Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 22, 53-60 (1983).

This paper deals with relations between phases of two accompanying spaces \(P_{\rho}[\alpha,\beta]\) and \(P_{\sigma}[\gamma,\delta]\) to the space \(S\subset C_ 1(i)\) from the point of view of Borůvka’s theory on transformations of integrals of the second order differential equations [O. Borůvka, Lineare Differentialtransformationen 2. Ordnung (1967; Zbl 0153.112)].

Reviewer: H.Haruki

MSC:

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

Keywords:

phases; accompanying spaces; Borůvka’s theory; transformations of integrals; second order differential equations

Citations:

Zbl 0153.112

References:

[1]	Borůvka O.: Lineare Differentialtransformationen 2. Ordnung. VEB Deutscher Verlag der Wissenschaften. Berlin 1967. · Zbl 0153.11201
[2]	Stach K.: Die allgemeinen Eigenschaften der Kummerschen Transformationen zweidimensionaler Räume von stetigen Funktionen. Publ. Fac. Sci. UJEP, Brno, 478, 1966. · Zbl 0256.34007
[3]	Kojecká J.: Lineare zweidimensionale Räume von stetigen Funktionen mit stetigen ersten Ableitungen. ACTA UP Olomouc, T 45 (1974).
[4]	Kojecká J.: Accompanying spaces to a linear two-dimensional space of continuous functions with a continuous first derivative. ACTA UP Olomouc, T. 73 (1982). · Zbl 0534.34037