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On transformations of differential equations and systems with deviating argument. (English) Zbl 0463.34051


MSC:

34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34C20 Transformation and reduction of ordinary differential equations and systems, normal forms
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References:

[1] Aczél J.: Lectures on Functional Equations and Their Applications. Acad. Press, New York 1966. · Zbl 0139.09301
[2] Barvínek E.: O rozložení nulových bodů řešení lineární diferenciální rovnice y” = Q(t) y a jejich derivací. Acta Fac. Nat. Univ. Comenian. 5 (1961), 465-474.
[3] Borůvka O.: One-parameter continuous groups of transformations on line. To appear. · Zbl 0291.20001
[4] Choczewski B.: On differentiable solutions of a functional equation. Ann. Polon. Math. 13 (1963), 133-138. · Zbl 0118.32401
[5] Hale J.: Functional Differential Equations. Springer, Berlin 1971. · Zbl 0223.34057
[6] Kuczma M.: Functional Equations in a Single Variable. PWN, Warszawa 1968. · Zbl 0196.16403
[7] Melvin L. H.: A change of variables for functional differential equations. J. Diff. Equations 18 (1975), 1-10. · Zbl 0318.34069
[8] Myškis A. D.: Linejnyje Differencial’nyje Uravnenija s Zapazdyvajuscim Argumentom. Nauka, Moskva 1972.
[9] Tryhuk V.: The most general transformation of homogeneous linear retarded differential equation of the first order. To appear. · Zbl 0448.34073
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