| Title:
|
On a transformation of solutions of the differential equation $y'=Q(t)y$ with a complex coefficient $Q$ of a real variable (English) |
| Title:
|
Transformace řešení rovnice $y'=Q(t)y$ s komplexním koeficientem Q reálné proměnné (Czech) |
| Author:
|
Staněk, Svatoslav |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
26 |
| Issue:
|
1 |
| Year:
|
1987 |
| Pages:
|
57-83 |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A30 |
| MSC:
|
34C20 |
| idZBL:
|
Zbl 0712.34009 |
| idMR:
|
MR1033331 |
| . |
| Date available:
|
2009-01-29T15:32:36Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120185 |
| . |
| Reference:
|
[1] Blanton G., Baker J. А.: Iteration groups generated by $C^\ast$ functions.Аrch. Math. (Brno) 3, XVIII, 1982, 121-128. Zbl 0518.26002, MR 0682099 |
| Reference:
|
[2] Borůvka O.: Linear Differential Transformations of the Second Order.The English Univ. Press, London, 1971. MR 0463539 |
| Reference:
|
[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. MR 0710190 |
| Reference:
|
[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. MR 0751175 |
| Reference:
|
[5] Borůvka O.: .Lectures at the seminar of the Institute of Mathematics of the Czechoslovak Acәdemy of Science in Brno. |
| Reference:
|
[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. |
| Reference:
|
[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. MR 0397087 |
| Reference:
|
[8] Krbiľa J.: Explicit solutions of several Kummer's nonlinear differential equations.Mat. Čas. 24, 1974, No 4, 343-348. MR 0382767 |
| Reference:
|
[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. MR 0397062 |
| Reference:
|
[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. Zbl 0543.34026, MR 0702610 |
| Reference:
|
[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. Zbl 0596.34014, MR 0837026 |
| Reference:
|
[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. MR 0879022 |
| Reference:
|
[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. MR 0918369 |
| Reference:
|
[14] Wilczynski E. J.: Projective differential geometry of curves and ruled surfaces.Leipzig, 1906. |
| . |
