| Title:
|
Higher monotonicity properties of certain Sturm-Liouville functions (English) |
| Author:
|
Pavlíková, Elena |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
17 |
| Issue:
|
3 |
| Year:
|
1981 |
| Pages:
|
159-167 |
| . |
| Category:
|
math |
| . |
| MSC:
|
33C10 |
| MSC:
|
34L99 |
| idZBL:
|
Zbl 0523.34007 |
| idMR:
|
MR672321 |
| . |
| Date available:
|
2008-06-06T06:09:45Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107106 |
| . |
| Reference:
|
[1] Háčik M.: Contribution to the monotonicity of the sequence of zero points integrals of the differential equation $y\sp{\prime\prime}+g(t)y=0$ with regard to the basis $[\alpha ,\,\beta ]$.Arch. Math. 8, Brno, (1972), 79-83. MR 0326063 |
| Reference:
|
[2] Laitoch M.: L'équation associée 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] Lorch L., Muldon M., Szego P.: Higher monotonicity properties of certain Sturm Liouville functions. IV.Canad. Journal of Math., XXIV, (1972), 349-368. MR 0298113 |
| Reference:
|
[4] Vosmanský J.: The monotonicity of extremants of integrals of the differential equation $y\sp{\prime\prime}+g(t)y=0$.Arch. Math. 2, Brno, (1966), 105-111. MR 0216072 |
| Reference:
|
[5] Vosmanský J.: 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 |
| . |