Stationary groups of linear differential equations

František Neuman

Czechoslovak Mathematical Journal (1984)

  • Volume: 34, Issue: 4, page 645-663
  • ISSN: 0011-4642

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Neuman, František. "Stationary groups of linear differential equations." Czechoslovak Mathematical Journal 34.4 (1984): 645-663. <http://eudml.org/doc/13488>.

@article{Neuman1984,
author = {Neuman, František},
journal = {Czechoslovak Mathematical Journal},
keywords = {iterative equation; Kummer equation; oscillatory equation; conjugate groups; stationary group; global transformations; second order linear differential equation},
language = {eng},
number = {4},
pages = {645-663},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Stationary groups of linear differential equations},
url = {http://eudml.org/doc/13488},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Neuman, František
TI - Stationary groups of linear differential equations
JO - Czechoslovak Mathematical Journal
PY - 1984
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 4
SP - 645
EP - 663
LA - eng
KW - iterative equation; Kummer equation; oscillatory equation; conjugate groups; stationary group; global transformations; second order linear differential equation
UR - http://eudml.org/doc/13488
ER -

References

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  1. G. Blanton J. A. Baker, Iteration groups generated by C n functions, Archivum Math. (Brno), 18 (1982), 121-127. (1982) MR0682099
  2. O. Borůvka, Lineare Differentialtransformationen 2, Ordnung, VEB, Berlin 1967, English edition: Linear Differential Transformations of the Second Order, The English Univ. Press, London 1971. (1967) 
  3. O. Borůvka, Sur une classe des groupes continus à un paramètre formés des functions réelles d'une variable, Ann. Polon Math. 42 (1982), 27-37. (1982) MR0728067
  4. G. H. Halphen, Mémoire sur la réduction des équations différentielles linéaires aux formes intégrables, In: Mémoires présentés par divers savants à l'académie des sciences de l'institut de France 28 (1884), 1-301. 
  5. O. Hölder, Die Axiome der Quantität und die Lehre vom Masse, Ber. Verh. Sachs. Ges. Wiss. Leipzig, Math. Phys. Cl. 53 (1901), 1-64. (1901) 
  6. Z. Hustý, Die Iteration homogener linearer Differentialgleichungen, Publ. Fac. Sci. Univ. J. E. Purkyne (Brno), 449 (1964), 23-56. (1964) MR0196166
  7. F. Neuman, Categorial approach to global transformations of the n-th order linear differential equations, Časopis Pěst. Mat. 102 (1977), 350-355. (1977) Zbl0374.34028MR0477284
  8. F. Neuman, 10.1007/BF01836037, Aequationes Math. 16 (1977), 245-257. (1977) MR0467061DOI10.1007/BF01836037
  9. F. Neuman, Criterion of global equivalence of linear differential equations, Proc. Roy. Soc. Edinburg, 97A (1984), 217-221. (1984) Zbl0552.34009MR0751194
  10. F. Neuman, A survey of global properties of linear differential equations of the n-th order, In: Ordinary and Partial Differential Equations, Proceedings, Dundee 1982, Lecture Notes in Mathematics 964, 548-563. (1982) Zbl0501.34003MR0693139
  11. J. Posluszny L.A. Rubel, 10.1016/0022-0396(79)90011-1, J. Diff. Equations 34 (1979), 291-302. (1979) MR0550047DOI10.1016/0022-0396(79)90011-1
  12. P. Stāckel, Über Transformationen von Differentialgleichungen, J. Reine Angew. Math. 111 (1893), 290-302. 

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