| Title:
|
Contribution to the monotonicity of the sequence of zero points of integrals of the differential equation $y''+g(t)y=0$ with regard to the basis $[\alpha,\beta]$ (English) |
| Author:
|
Háčik, Miloš |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
8 |
| Issue:
|
2 |
| Year:
|
1972 |
| Pages:
|
79-83 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0274.34030 |
| idMR:
|
MR0326063 |
| . |
| Date available:
|
2008-06-05T19:52:56Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104762 |
| . |
| Reference:
|
[1] Hartman Ph.: On differential Equations and the Functions $J_{\mu}^2 + Y_{\mu}^2$.Amer. Journal of Math. Vol. 83 1961 pp. 164-187 MR 0123039 |
| Reference:
|
[2] Laitoch M.: L'équation associée dans la théorie des transformations des équations différentielles du second ordre.Acta Univ. Palack. Olomucensis 1963 TOM 12 pp. 46-62 Zbl 0256.34005, MR 0276527 |
| Reference:
|
[3] Lorch Lee, Szego P.: Higher Monotonicity Properties of Certain Sturm-Liouville Functions I.Acta Math. 109 1963 pp. 56-73 MR 0147695 |
| Reference:
|
[4] Lorch Lee, Szego P.: Higher Monotonicity Properties of Certain Sturm-Liouville Functions II.Bull. de l'Academie Polonaise des Sci. Math., Astr. et Phys. Vol. XI 1963 pp. 455-457 Zbl 0113.27704, MR 0158114 |
| Reference:
|
[5] Lorch Lee, Muldoon M., Szego P.: Higher Monotonicity Properties of Certain Sturm-Liouville Functions III.Canad. Journal of Math. XXII 1970 pp. 1238-1264 MR 0274845 |
| Reference:
|
[6] Vosmanský J.: The Monotonicity of Extremants of Integrals of the Differential Equation $y" + q(t)y = 0$.Archivum Math. (Brno) T 2 1966 pp. 105-111 MR 0216072 |
| Reference:
|
[7] Williamson R. E.: Multiply Monotone Functions and Their Laplace Transforms.Duke Math. Journal Vol. 23 1956 pp. 189-206. Zbl 0070.28501, MR 0077581 |
| . |
