| Title:
|
Some properties of linear homogeneous transformation of independent variable in ordinary differential linear equations (English) |
| Author:
|
Barvínek, Erich |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
16 |
| Issue:
|
6 |
| Year:
|
1971 |
| Pages:
|
431-438 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The article studies a general linear differential equations of the 2nd order the solution $y(t)$ of which generates an orthogonal sequence $y(k_it)$ where $k_i$ is a suitably ordered sequence of positive roots of the solution $y(t)$. Actually differential equations of Euler's type are dealt with.
Further a certain generalization concerning the general solution of certain iterated equation of the 4th order is given. () |
| MSC:
|
34A25 |
| MSC:
|
34A30 |
| MSC:
|
34B30 |
| MSC:
|
34C20 |
| idZBL:
|
Zbl 0225.34008 |
| idMR:
|
MR0294755 |
| DOI:
|
10.21136/AM.1971.103378 |
| . |
| Date available:
|
2008-05-20T17:52:07Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103378 |
| . |
| Reference:
|
[1] B. G. Korenjev: Some elasticity and heat conduction problems solvable in Bessel functions.(Russian), Moscow 1960. |
| Reference:
|
[2] V. Pane: Die allgemeine Lösung einer zylindrischen Differentialgleichung vierter Ordnung nullten Parameterwertes.Aplikace matematiky, sv. 16 (1971), čís. 3. |
| Reference:
|
[3] A. Gray G. B. Mathews: A treatise on Bessel functions and their applications to physics. |
| Reference:
|
[4] H. Bateman: Higher transcendental functions.Vol. 2. Zbl 0542.33002 |
| . |
