Higher monotonicity properties of certain Sturm-Liouville functions

Elena Pavlíková

Archivum Mathematicum (1981)

  • Volume: 017, Issue: 3, page 159-167
  • ISSN: 0044-8753

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Pavlíková, Elena. "Higher monotonicity properties of certain Sturm-Liouville functions." Archivum Mathematicum 017.3 (1981): 159-167. <http://eudml.org/doc/18063>.

@article{Pavlíková1981,
author = {Pavlíková, Elena},
journal = {Archivum Mathematicum},
keywords = {Bessel functions; monotonicity properties; linear second order differential equations; Airy functions},
language = {eng},
number = {3},
pages = {159-167},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Higher monotonicity properties of certain Sturm-Liouville functions},
url = {http://eudml.org/doc/18063},
volume = {017},
year = {1981},
}

TY - JOUR
AU - Pavlíková, Elena
TI - Higher monotonicity properties of certain Sturm-Liouville functions
JO - Archivum Mathematicum
PY - 1981
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 017
IS - 3
SP - 159
EP - 167
LA - eng
KW - Bessel functions; monotonicity properties; linear second order differential equations; Airy functions
UR - http://eudml.org/doc/18063
ER -

References

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  1. Háčik M., Contribution to the monotonicity of the sequence of zero points integrals of the differential equation y ' ' + g ( t ) y = 0 with regard to the basis [ α , β ] , Arch. Math. 8, Brno, (1972), 79-83. (1972) MR0326063
  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. (1963) Zbl0256.34005MR0276527
  3. Lorch L., Muldon M., Szego P., Higher monotonicity properties of certain Sturm Liouville functions. IV, Canad. Journal of Math., XXIV, (1972), 349-368. (1972) MR0298113
  4. Vosmanský J., The monotonicity of extremants of integrals of the differential equation y ' ' + g ( t ) y = 0 , Arch. Math. 2, Brno, (1966), 105-111. (1966) MR0216072
  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. (1974) MR0399578

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