| Title:
|
Higher monotonicity properties of $i$-th derivatives of solutions of $y'' + a(x) y' + b(x) y = 0$ (English) |
| Author:
|
Pavlíková, Elena |
| Language:
|
English |
| Journal:
|
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika |
| ISSN:
|
0231-6048 |
| Volume:
|
21 |
| Issue:
|
1 |
| Year:
|
1982 |
| Pages:
|
69-78 |
| Summary lang:
|
Slovak |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A30 |
| MSC:
|
34C10 |
| MSC:
|
34C20 |
| idZBL:
|
Zbl 0522.34033 |
| idMR:
|
MR0702609 |
| . |
| Date available:
|
2009-01-29T15:25:23Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120121 |
| . |
| Reference:
|
[1] M. Háčik: 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 $\alpha, \beta$.Arch. Math. 8, Brno, (1972), 79-83. MR 0326063 |
| Reference:
|
[2] M. Laitoch: L’équation associeé dans la théorie des transformations des équations différentielles du second ordre.Acta Univ. Palack. Olomucensis, TOM 12 (1963), 45-62. Zbl 0256.34005, MR 0276527 |
| Reference:
|
[3] L. Lorch M. Muldoon P. Szego: Higher monotonicity properties of certain Sturm-Liouville functions. IV.Canad. Journal of Math., XXIV (1972), 349-368. MR 0298113 |
| Reference:
|
[4] E. Pavlíková: Higher monotonicity properties of certain Sturm-Liouville functions.Archivum Mathematicum, Brno, (to appear). MR 0672321 |
| Reference:
|
[5] J. Vosmanský: Certain higher monotonicity properties of Bessel functions.Arch. Math. 1, Brno, (1977), 55-64. MR 0463571 |
| Reference:
|
[6] J. Vosmanský: Certain higher monotonicity properties of i-th derivatives of solutions of $y'' + a(t)y' + b(t)y = 0$.Arch. Math. 2, Brno, (1974), 87-102. MR 0399578 |
| . |
