| Title:
|
Higher monotonicity properties of zero points of the linear combination of the solution and its first derivative of the differential equation $y''+q(t)y=0$ (English) |
| Author:
|
Háčik, Miloš |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
10 |
| Issue:
|
2 |
| Year:
|
1974 |
| Pages:
|
67-77 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0318.34043 |
| idMR:
|
MR0399579 |
| . |
| Date available:
|
2008-06-05T19:55:13Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104819 |
| . |
| Reference:
|
[1] Háčik M.: Contribution to the monotonicity of the sequence of zero points of integrals of the differential equation y" + q(t)y = 0 with regard to the basis ($\alpha$, $\beta$).Archivum Mathematicum (Brno) (to appear). |
| Reference:
|
[2] Laitoch M.: L'équation associée dans la théorie des transformations des équations diffèrentielles du second ordre.Acta Univ. Palack. Olomucensis 1963 TOM 12, pp. 45-62. Zbl 0256.34005, MR 0276527 |
| Reference:
|
[3] Lorch L., Szego P.: Higher monotonicity properties of certain Sturm-Liouville functions.Acta Math., 109 1963, pp. 55-73. Zbl 0113.27704, MR 0147695 |
| Reference:
|
[4] Vosmanský J.: Monotonic properties of zeros and extremants of the differential equation y'' + q(t)y = 0.Archivum Mathematicum (Brno) T 6 1970, pp. 37-73. Zbl 0239.34014, MR 0296420 |
| Reference:
|
[5] Vosmanský J.: The monotonicity of extremants of integrals of the differential equation y'' + q(t)y = 0.Archivum Mathematicum (Brno) T 2 1966, pp. 105-111. Zbl 0219.34035, MR 0216072 |
| . |
