| Title:
|
Monotonic properties of zeros and extremants of the differential equation $y''+q(t)y=0$ (English) |
| Author:
|
Vosmanský, Jaromír |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
6 |
| Issue:
|
1 |
| Year:
|
1970 |
| Pages:
|
37-74 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0239.34014 |
| idMR:
|
MR0296420 |
| . |
| Date available:
|
2008-06-05T18:14:46Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104710 |
| . |
| Reference:
|
[1] Borůvka O.: O kolebljuščichsja integralach differencialnych linejnych uravnenij 2-ogo porjadka.Čech. mat. ž., 3 (78) 1953, 199-251. MR 0060671 |
| Reference:
|
[2] Borůvka O.: Sur les transformations différentielles linéares complètes du second ordre.Ann. di Mat. p. ed app., 49, 1960, 229-251. MR 0114962 |
| Reference:
|
[3] Hartman P.: On differential equations and the function $J_{\mu}^2 + Y_{\mu}^2$.Amer. Jour. of Math., 83, 1961, 154-188. MR 0123039 |
| Reference:
|
[4] Ince E. L.: Ordinary Differential Equations.1927. Zbl 0612.34002 |
| Reference:
|
[5] Lorch L., Szego P.: Higher monotonicity properties of certain Sturm-Liouville functions.Acta Math., 109, 1963, 55-73. Zbl 0113.27704, MR 0147695 |
| Reference:
|
[6] Lorch L., Szego P.: Higher monotonicity properties of certain Sturm-Liouville functions II.Bull. de l'Acad. Pol. des Sci. Ser. Math. Astr. et Phys., Vol. 11, 1963, 455-457. Zbl 0113.27704, MR 0158114 |
| Reference:
|
[7] Neuman F.: Sur les équations différentielles linéaires du second ordre dont les solutions ont des racines formant une suite convexe.Acta Math., Acad. Scient. Hung., 13, 1962, 281-287. Zbl 0117.30303, MR 0148999 |
| Reference:
|
[8] Sansone G.: Obyknověnnyje differencialnyje uravnenija.Moskva 1953. MR 0064795 |
| Reference:
|
[9] Vallée-Poussin Ch. J.: Cours d'Analyse Infinitésimal.vol. 1. 8th éd., Louvain, 1938, reprinted, New York, 1946. |
| Reference:
|
[10] Vosmanský J.: The monotonicity of extremants of integrals of the differential equation $y" + q(t) y = 0$.Arch. math. (Brno) 2, 1966, 105-111. MR 0216072 |
| Reference:
|
[11] Watson G. N.: A Treatise on the Theory of Bessel Functions.Cambridge, 1922. |
| . |
