Geodesic
Higher monotonicity properties of zero points of the linear combination of the solution and its first derivative of the differential equation $y''+q(t)y=0$
Archivum mathematicum, Tome 10 (1974) no. 2, pp. 67-77

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Classification : 34C10 
Háčik, Miloš. Higher monotonicity properties of zero points of the linear combination of the solution and its first derivative of the differential equation $y''+q(t)y=0$. Archivum mathematicum, Tome 10 (1974) no. 2, pp. 67-77. http://geodesic.mathdoc.fr/item/ARM_1974_10_2_a0/
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     title = {Higher monotonicity properties of zero points of the linear combination of the solution and its first derivative of the differential equation $y''+q(t)y=0$},
     journal = {Archivum mathematicum},
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     year = {1974},
     volume = {10},
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     mrnumber = {0399579},
     zbl = {0318.34043},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1974_10_2_a0/}
}
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[1] Háčik M.: Contribution to the monotonicity of the sequence of zero points of integrals of the differential equation y" + q(t)y = 0 with regard to the basis ($\alpha$, $\beta$). Archivum Mathematicum (Brno) (to appear).

[2] Laitoch M.: L'équation associée dans la théorie des transformations des équations diffèrentielles du second ordre. Acta Univ. Palack. Olomucensis 1963 TOM 12, pp. 45-62. | MR | Zbl

[3] Lorch L., Szego P.: Higher monotonicity properties of certain Sturm-Liouville functions. Acta Math., 109 1963, pp. 55-73. | MR | Zbl

[4] Vosmanský J.: Monotonic properties of zeros and extremants of the differential equation y'' + q(t)y = 0. Archivum Mathematicum (Brno) T 6 1970, pp. 37-73. | MR | Zbl

[5] Vosmanský J.: The monotonicity of extremants of integrals of the differential equation y'' + q(t)y = 0. Archivum Mathematicum (Brno) T 2 1966, pp. 105-111. | MR | Zbl