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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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     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},
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Háčik, 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/

[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