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aequationes mathematicae

, Volume 16, Issue 3, pp 245–257 | Cite as

On solutions of the vector functional equationy(ξ(x)) = f(x) ⋅ A ⋅ y(x)

  • F. Neuman
Research papers

AMS (1970) subject classification

Primary 39A35, 39A20, 39A25 Secondary 34A25, 34A30, 34C25 

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References

  1. [1]
    Borůvka, O.,Linear differential transformations of the second order. The English Universities Press, London, 1971.Google Scholar
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    Kuczma, M.,Functional equations in a single variable, PWN, Warszawa, 1968.Google Scholar
  3. [3]
    Neuman, F.,Linear differential equations of the second order and their applications. Rend. Mat.4 (1971), 559–617.Google Scholar
  4. [4]
    Neuman, F.,A role of Abel's equation in the stability theory of differential equations. Aequationes Math.6 (1971), 66–70.Google Scholar
  5. [5]
    Neuman, F.,L 2-solutions of y″ = q(t)y and a functional equation. Aequationes Math.6 (1971), 162–169.Google Scholar
  6. [6]
    Neuman, F.,Distribution of zeros of solutions of y″ = q(t)y in relation to their behaviour in large. Studia Sci. Math. Hungar.8 (1973), 177–185.Google Scholar
  7. [7]
    Neuman, F.,Geometrical approach to linear differential equations of the n-th order. Rend. Mat.5 (1972), 579–602.Google Scholar
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    Stäckel, P.,Über Transformationen von Differentialgleichungen. J. Reine Angew. Math.111 (1893), 290–302.Google Scholar
  9. [9]
    Wilczynski, E. J.,Projective differential geometry of curves and ruled surfaces. B. G. Teubner, Leipzig, 1906.Google Scholar

Copyright information

© Birkhäuser Verlag 1977

Authors and Affiliations

  • F. Neuman
    • 1
  1. 1.Mathematical Institute of the Czechoslovak Academy of SciencesBranch in BrnoBrnoCzechoslovakia

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