| Title:
|
Transformations of linear second order ordinary differential equations (English) |
| Author:
|
Staněk, Svatoslav |
| Author:
|
Vosmanský, Jaromír |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
22 |
| Issue:
|
1 |
| Year:
|
1986 |
| Pages:
|
55-59 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B05 |
| MSC:
|
34B99 |
| MSC:
|
34C20 |
| idZBL:
|
Zbl 0644.34029 |
| idMR:
|
MR868119 |
| . |
| Date available:
|
2008-06-06T06:15:44Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107245 |
| . |
| Reference:
|
[1] I. Bihary: Zeros of the Böcher - function and its derivative with respect to differential equation $y" + p(x) y = 0$ II.(to appear). |
| Reference:
|
[2] O. Borůvka: Linear Differential Transformations of the Second Order.The English Univ. Press, (1971) London. MR 0463539 |
| Reference:
|
[3] Z. Došlá: Monotonicity properties of the linear combination of derivatives of some special functions.(to appear). Arch. Math. (Brno), 21, (1985), 147 - 157. MR 0833125 |
| Reference:
|
[4] A. Erdélyi, al: Higher transcendental functions.vol. 2, Mc Graw-Hill, New York, 1954. |
| Reference:
|
[5] M. Háčik: Generalization of amplitude, phase and accompanying differential equations.Acta Univ. Palackianae Olomucensis, FRN, 33, (1971), 7-17. MR 0352583 |
| Reference:
|
[6] J. Heading: Consistency invariants and transformations between second order linear differential equations.Preprint. |
| Reference:
|
[7] M. Laitoch: L'équation associée dans la théorie des transformations des équations différentielles du second ordre.Acta Univ. Palackianae Olomucensis, 12, 0963), 45 - 62. Zbl 0256.34005, MR 0276527 |
| Reference:
|
[8] M. Muldoon: On the zeros of a function related to Bessel functions.Arch. Math. (Brno), 18, (1982), 22-34. Zbl 0504.33005, MR 0683343 |
| Reference:
|
[9] S. Staněk: On a certain transformation of the solution of two second order differential equations.Acta Univ. Palackianae Olomucensis, FRN, 76, math. XXII, (1983), 81-90. MR 0744702 |
| Reference:
|
[10] J. Vosmanský: The monotonicity of extremants of integrals of the differential equation y'' + q(t)y = 0.Arch. Math. (Brno), 2, (1966), 105-111. Zbl 0219.34035, MR 0216072 |
| Reference:
|
[11] J. Vosmanský: Certain higher monotonicity properties of i-th derivatives of solutions of y'' + a(t) y' + b(t) y = 0.Arch. Math. (Brno), X, (1974), 87-102. MR 0399578 |
| . |
