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Transformation of spaces of vector functions of scalar argument. (English) Zbl 0853.15002
The paper studies the generalized Kummer’s transformation of regular spaces of real functions of scalar argument and the connection to the transformation of spaces of solutions to systems of linear differential equations of the first order. It contains section of basic considerations, transformation of regular spaces, inverse transformations and transformation of solutions of systems of linear equations.
Reviewer: Y.Kuo (Knoxville)
MSC:
15A03 Vector spaces, linear dependence, rank, lineability
34A30 Linear ordinary differential equations and systems
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References:
[1] Borůvka O.: Lineare Differentialtransformationen 2. Ordnung. Deutscher Verlag der Wissenschaften, Berlin, 1967. · Zbl 0153.11201
[2] Coddington E. A., Levinson N.: Theory of ordinary differential equations. Mc Graw-Hill Book Comp., New York, Toronto, London, 1955. · Zbl 0064.33002
[3] Stach K.: Die allgemeinen Eigenschaften der Kummerschen Transformationen zwei-dimensionaler Raume von stetigen Funktionen. Publ. Fac. Sci. Univ. J. E. Purkyně, No. 478, Brno, 1966. · Zbl 0256.34007
[4] Trávnícek S.: O preobrazovanijach resenij sistem linejnych differencialnych uravnenij pervogo porjadka. Acta Univ. Pal. Olom., F. R. N.,T 18, Olomouc, 1965.
[5] Trávníček S.: O nekotorych preobrazovanijach resenij sistem linejnych differencialnych uravnenij pervogo porjadka. Acta Univ. Pal. Olom., F. R. N., T 21, Olomouc, 1966.
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