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aequationes mathematicae

, Volume 10, Issue 1, pp 97–104 | Cite as

A characterization of linear difference equations which are solvable by elementary operations

  • Charles H. Franke
Research Papers

Keywords

Difference Equation Elementary Operation Linear Difference Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Cohn, R. M.,Difference Algebra (Interscience Publ., New York, N.Y. 1965).Google Scholar
  2. [2]
    Franke, C. H.,Picard-Vessiot Theory of Linear Homogeneous Difference Equations, Trans. Amer. Math. Soc.108, 491–515 (1963).Google Scholar
  3. [3]
    Franke, C. H.,Solvability of Linear Homogeneous Difference Equations by Elementary Operations, Proc. Amer. Math. Soc.17, 240–246 (1966).Google Scholar
  4. [4]
    Franke, C. H.,A Note on the Galois Theory of Linear Homogeneous Difference Equations, Proc. Amer. Math. Soc.18, 548–551 (1967).Google Scholar
  5. [5]
    Franke, C. H.,The Galois Correspondence for Linear Homogeneous Difference Equations, Proc. Amer. Math. Soc.21, 397–401 (1969).Google Scholar
  6. [6]
    Franke, C. H.,Linearly Reducible Linear Difference Operators, Aequationes Math.6, 188–194 (1971).Google Scholar
  7. [7]
    Franke, C. H.,Reducible Linear Difference Operators Aequationes Math.9, 136–144 (1973).Google Scholar
  8. [8]
    Kolchin, E. R.,Algebraic Matric Groups and the Picard-Vessiot Theory of Homogeneous Linear Ordinary Differential Equations, Ann. of Math. (2)49, 1–42 (1948).Google Scholar

Copyright information

© Birkhüuser Verlag 1974

Authors and Affiliations

  • Charles H. Franke
    • 1
  1. 1.Seton Hall UniversitySouth OrangeUSA

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