Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblHáčik, Miloš. 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 $[\alpha,\beta]$. Archivum mathematicum, Tome 8 (1972) no. 2, pp. 79-83. http://geodesic.mathdoc.fr/item/ARM_1972_8_2_a1/
@article{ARM_1972_8_2_a1,
author = {H\'a\v{c}ik, Milo\v{s}},
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 $[\alpha,\beta]$},
journal = {Archivum mathematicum},
pages = {79--83},
year = {1972},
volume = {8},
number = {2},
mrnumber = {0326063},
zbl = {0274.34030},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_1972_8_2_a1/}
}
TY - JOUR AU - Háčik, Miloš TI - 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 $[\alpha,\beta]$ JO - Archivum mathematicum PY - 1972 SP - 79 EP - 83 VL - 8 IS - 2 UR - http://geodesic.mathdoc.fr/item/ARM_1972_8_2_a1/ LA - en ID - ARM_1972_8_2_a1 ER -
%0 Journal Article %A Háčik, Miloš %T 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 $[\alpha,\beta]$ %J Archivum mathematicum %D 1972 %P 79-83 %V 8 %N 2 %U http://geodesic.mathdoc.fr/item/ARM_1972_8_2_a1/ %G en %F ARM_1972_8_2_a1
[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
[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 | MR | Zbl
[3] Lorch Lee, Szego P.: Higher Monotonicity Properties of Certain Sturm-Liouville Functions I. Acta Math. 109 1963 pp. 56-73 | MR
[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 | MR | Zbl
[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
[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
[7] Williamson R. E.: Multiply Monotone Functions and Their Laplace Transforms. Duke Math. Journal Vol. 23 1956 pp. 189-206. | MR | Zbl