@article{ARM_1970_6_1_a3,
author = {Vosmansk\'y, Jarom{\'\i}r},
title = {Monotonic properties of zeros and extremants of the differential equation $y''+q(t)y=0$},
journal = {Archivum mathematicum},
pages = {37--74},
year = {1970},
volume = {6},
number = {1},
mrnumber = {0296420},
zbl = {0239.34014},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_1970_6_1_a3/}
}
Vosmanský, Jaromír. Monotonic properties of zeros and extremants of the differential equation $y''+q(t)y=0$. Archivum mathematicum, Tome 6 (1970) no. 1, pp. 37-74. http://geodesic.mathdoc.fr/item/ARM_1970_6_1_a3/
[1] Borůvka O.: O kolebljuščichsja integralach differencialnych linejnych uravnenij 2-ogo porjadka. Čech. mat. ž., 3 (78) 1953, 199-251. | MR
[2] Borůvka O.: Sur les transformations différentielles linéares complètes du second ordre. Ann. di Mat. p. ed app., 49, 1960, 229-251. | MR
[3] Hartman P.: On differential equations and the function $J_{\mu}^2 + Y_{\mu}^2$. Amer. Jour. of Math., 83, 1961, 154-188. | MR
[4] Ince E. L.: Ordinary Differential Equations. 1927. | Zbl
[5] Lorch L., Szego P.: Higher monotonicity properties of certain Sturm-Liouville functions. Acta Math., 109, 1963, 55-73. | MR | Zbl
[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. | MR | Zbl
[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. | MR | Zbl
[8] Sansone G.: Obyknověnnyje differencialnyje uravnenija. Moskva 1953. | MR
[9] Vallée-Poussin Ch. J.: Cours d'Analyse Infinitésimal. vol. 1. 8th éd., Louvain, 1938, reprinted, New York, 1946.
[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
[11] Watson G. N.: A Treatise on the Theory of Bessel Functions. Cambridge, 1922.