On a transformation of solutions of the differential equation y ' = Q ( t ) y with a complex coefficient Q of a real variable

Staněk, Svatoslav

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1987)

  • Volume: 26, Issue: 1, page 57-83
  • ISSN: 0231-9721

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Staněk, Svatoslav. "On a transformation of solutions of the differential equation $y^{\prime }=Q(t)y$ with a complex coefficient $Q$ of a real variable." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 26.1 (1987): 57-83. <http://eudml.org/doc/23464>.

@article{Staněk1987,
author = {Staněk, Svatoslav},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {second order differential equation; central transformator},
language = {eng},
number = {1},
pages = {57-83},
publisher = {Palacký University Olomouc},
title = {On a transformation of solutions of the differential equation $y^\{\prime \}=Q(t)y$ with a complex coefficient $Q$ of a real variable},
url = {http://eudml.org/doc/23464},
volume = {26},
year = {1987},
}

TY - JOUR
AU - Staněk, Svatoslav
TI - On a transformation of solutions of the differential equation $y^{\prime }=Q(t)y$ with a complex coefficient $Q$ of a real variable
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1987
PB - Palacký University Olomouc
VL - 26
IS - 1
SP - 57
EP - 83
LA - eng
KW - second order differential equation; central transformator
UR - http://eudml.org/doc/23464
ER -

References

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  1. Blanton G., Baker J. А., Iteration groups generated by C * functions, Аrch. Math. (Brno) 3, XVIII, 1982, 121-128. (1982) Zbl0518.26002MR0682099
  2. Borůvka O., Linear Differential Transformations of the Second Order, The English Univ. Press, London, 1971. (1971) MR0463539
  3. Borůvka O., Sur les transformations simultanées de deux équations différentielles linéaires du deuxième ordre dans elles-mêmes, Applicable Anal. 1983, 15, No 1-4, 187-200. (1983) MR0710190
  4. Borůvka O., Sur les sous-groupes planaires des groupes des dispersions des équations différentielles linéaires du deuxième ordre, Proc. Roy. Soc. Edinburgh, 97 A (1984), 35-41. (1984) MR0751175
  5. Borůvka O., [unknown], Lectures at the seminar of the Institute of Mathematics of the Czechoslovak Acәdemy of Science in Brno. 
  6. Krbiľa J., Vlastnosti fáz neoscilatorických rovníc y" = q(t)y definovaných pomocou hyperbolických polárných súradnic, Sborník prací VŠD a VUD, Nadas (Praha), 19, (1969), 5-11. (19,) 
  7. Krbiľa J., Applikation von parabolischen Phasen der Differentialgleichung y'' = q(t)y, Sborník prací VŠD a VUD, IV. ved. konf., 1.sekcia, 1973, 67-74. (1973) MR0397087
  8. Krbiľa J., Explicit solutions of several Kummer's nonlinear differential equations, Mat. Čas. 24, 1974, No 4, 343-348. (1974) MR0382767
  9. Krbiľa J., Kříž F., Transformácia binomických lineárnych diferencialnych rovníc n-tého rádu, ktorých nosiče sú komplexné funkcie reálného argumentu, Práce a štúdie VŠD v Žiline, No 1, 1974, séria mat.-fyz., 77-82. (1974) MR0397062
  10. Staněk S., On a structure of the intersection of the set of dispersions of two second-order linear differential equations, Acta Univ.Palac.Olomucensis, Fac. rer. nat., vol 73, 1982, 79-85. (1982) Zbl0543.34026MR0702610
  11. Staněk S., On the intersection of the set of solutions of two Kummer's differential equations, Acta Univ. Palac. Olomucensis, Fac. rer. nat., vol. 79, 1984, 25-32. (1984) Zbl0596.34014MR0837026
  12. Staněk S., On the intersection of groups of increasing dispersions of two second order oscillatory differential equations, Acta Univ. Palac. Olomucensis, Fac. rer. nat., vol. 86, Math. XXIV, 1985. 61-66. (1985) MR0879022
  13. Staněk S., Introducing A phase of the differential equation y'' = Q(t)y with a complex coefficient Q of a real variable, Acta Univ. Palac. Olomucensis, vol. 85, Math. XXIV, 1986, 57-75. (1986) MR0918369
  14. Wilczynski E. J., Projective differential geometry of curves and ruled surfaces, Leipzig, 1906. (1906) 

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