Georgian Mathematical Journal

, Volume 2, Issue 1, pp 1–8 | Cite as

Continuous transformations of differential equations with delays

  • Jan Čermák


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 transformationz(t)=g(t)y(h(t)) represents the most general pointwise transformation converting every linear homogeneous differential equation of thenth order into an equation of the same type. Further, some forms of these equations having certain subspaces of solutions are considered.

1991 Mathematics Subject Classification

34K05 34K15 

Key words and phrases

Differential equation delay argument transformation 


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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • Jan Čermák
    • 1
  1. 1.Department of MathematicsTechnical University of BrnoBrnoCzech Republic

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