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/lp/de-gruyter/continuous-transformations-of-differential-equations-with-delays-ufdJl4n0Ij
References (6)
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(1972)
Geometrical approach to linear differential equations of the nth order Author's address -
M. Čadek (1985)
Form of general pointwise transformations of linear differential equationsCzechoslovak Mathematical Journal, 35
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J. Hale (1971)
Functional Differential Equations -
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F. Neuman (1992)
Global Properties of Linear Ordinary Differential Equations -
(1993)
Geometrical approach to linear differential equations of the nth order
- Publisher
- de Gruyter
- Copyright
- © 1995 Plenum Publishing Corporation
- ISSN
- 1072-947X
- eISSN
- 1072-9176
- DOI
- 10.1515/GMJ.1995.1
- Publisher site
- See Article on Publisher Site
Abstract
The aim of this paper is to find the class of continuous pointwise transformations (as general as possible) in the framework of which Kummer's transformation z ( t ) = g ( t ) y ( h ( t )) represents the most general pointwise transformation converting every linear homogeneous differential equation of the n th order into an equation of the same type. Further, some forms of these equations having certain subspaces of solutions aer cobstructed.
Journal
Georgian Mathematical Journal – de Gruyter
Published: Feb 1, 1995
Keywords: Differential equation; delay argument; transformation