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Title: Higher monotonicity properties of certain Sturm-Liouville functions (English)
Author: Pavlíková, Elena
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 17
Issue: 3
Year: 1981
Pages: 159-167
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Category: math
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MSC: 33C10
MSC: 34L99
idZBL: Zbl 0523.34007
idMR: MR672321
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Date available: 2008-06-06T06:09:45Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107106
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Reference: [1] Háčik M.: Contribution to the monotonicity of the sequence of zero points integrals of the differential equation $y\sp{\prime\prime}+g(t)y=0$ with regard to the basis $[\alpha ,\,\beta ]$.Arch. Math. 8, Brno, (1972), 79-83. MR 0326063
Reference: [2] Laitoch M.: L'équation associée dans la théorie des transformations des équations différentielles du second ordre.Acta Univ. Palack. Olomucensis, TOM 12 (1963), 45-62. Zbl 0256.34005, MR 0276527
Reference: [3] Lorch L., Muldon M., Szego P.: Higher monotonicity properties of certain Sturm Liouville functions. IV.Canad. Journal of Math., XXIV, (1972), 349-368. MR 0298113
Reference: [4] Vosmanský J.: The monotonicity of extremants of integrals of the differential equation $y\sp{\prime\prime}+g(t)y=0$.Arch. Math. 2, Brno, (1966), 105-111. MR 0216072
Reference: [5] Vosmanský J.: Certain higher monotonicity properties of $i$-th derivatives of solutions of $y"+a(t)y'+b(t)y=0$.Arch. Math. 2, Brno, (1974), 87-102. MR 0399578
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