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On Equivalence of Linear Functional-Differential Equations

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Abstract

For linear functional-differential equations of the first order there are derived canonical forms and an effective criterion of equivalence with respect to the pointwise transformations.

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References

  1. Aczél, J., Lectures on Functional Equations and Their Applications, Acad. Press, New York-London, 1966.

    MATH  Google Scholar 

  2. Blanton, G. and Baker, J. A., Iteration groups generated by Cn functions, Arch. Math. (Brno) 19 (1982), 121–127.

    MathSciNet  Google Scholar 

  3. O. Borůvka, Linear Differential Transformations of the Second Order, The English Univ. Press, London, 1971.

    MATH  Google Scholar 

  4. Čermák, J., On transformations of functional-differential equations, Arch. Math. (Brno), to appear.

  5. Čermák, J., Continuous transformations of differential equations with delays, Proc. Georg. Acad. Sci. Math., to appear.

  6. Čermák, J., Note on simultaneous solutions of a system of Schröder equations, sent to Math. Bohemica.

  7. Kuczma, M., Choczewski, B. and Ger, R., Iterative Functional Equations, Cambridge Univ. Press, Cambridge-New York, 1989.

    Google Scholar 

  8. Neuman, F., On transformations of differential equations and systems with deviating argument, Czechoslovak Math. J. 31 (106) (1981), 87–90.

    MathSciNet  Google Scholar 

  9. Neuman, F., Simultaneous solutions of a system of Abel equations and differential equations with several deviations, Czechoslovak Math. J. 32 (107) (1982), 488–494.

    MathSciNet  Google Scholar 

  10. Neuman, F., Transformations and canonical forms of functional-differential equations, Proc. Roy. Soc. Edinburgh 115 A (1990), 349–357.

    Article  MathSciNet  Google Scholar 

  11. Neuman, F., Global Properties of Linear Ordinary Differential Equations, Mathematics and Its Applications (East European Series) 52, Kluwer Acad. Publ., Dordrecht-Boston-London, 1991.

  12. Tryhuk, V., The most general transformation of homogeneous linear differential retarded equations of the first order, Arch. Math. (Brno) 16 (1980), 225–230.

    MathSciNet  MATH  Google Scholar 

  13. Zdun, M. C., On simultaneous Abel equations, Aequationes Math. 38 (1989), 163–177.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Mathematical Institute, Academy of Sciences of the Czech Republic, Žižkova 22, CZ-616 62, Brno, Czech Republic

    František Neuman

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  1. František Neuman
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Dedicated to Professor János Aczél on his 70th birthday

Research partially supported by grants # 201/93/0452 of the Czech Republic and # 119404 of the Academy of Sciences.

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Neuman, F. On Equivalence of Linear Functional-Differential Equations. Results. Math. 26, 354–359 (1994). https://doi.org/10.1007/BF03323059

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  • DOI: https://doi.org/10.1007/BF03323059

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