Higher monotonicity properties of i -th derivatives of solutions of y ' ' + a ( x ) y ' + b ( x ) y = 0

Elena Pavlíková

Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika (1982)

  • Volume: 21, Issue: 1, page 69-78
  • ISSN: 0231-9721

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Pavlíková, Elena. "Higher monotonicity properties of $i$-th derivatives of solutions of $y^{\prime \prime } + a(x) y^{\prime } + b(x) y = 0$." Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika 21.1 (1982): 69-78. <http://eudml.org/doc/23400>.

@article{Pavlíková1982,
author = {Pavlíková, Elena},
journal = {Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika},
keywords = {second order linear differential equation; monotonicity properties of i- th derivative},
language = {eng},
number = {1},
pages = {69-78},
publisher = {Palacký University Olomouc},
title = {Higher monotonicity properties of $i$-th derivatives of solutions of $y^\{\prime \prime \} + a(x) y^\{\prime \} + b(x) y = 0$},
url = {http://eudml.org/doc/23400},
volume = {21},
year = {1982},
}

TY - JOUR
AU - Pavlíková, Elena
TI - Higher monotonicity properties of $i$-th derivatives of solutions of $y^{\prime \prime } + a(x) y^{\prime } + b(x) y = 0$
JO - Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
PY - 1982
PB - Palacký University Olomouc
VL - 21
IS - 1
SP - 69
EP - 78
LA - eng
KW - second order linear differential equation; monotonicity properties of i- th derivative
UR - http://eudml.org/doc/23400
ER -

References

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  1. M. Háčik, 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 α , β , Arch. Math. 8, Brno, (1972), 79-83. (1972) MR0326063
  2. M. Laitoch, L’équation associeé dans la théorie des transformations des équations différentielles du second ordre, Acta Univ. Palack. Olomucensis, TOM 12 (1963), 45-62. (1963) Zbl0256.34005MR0276527
  3. L. Lorch M. Muldoon P. Szego, Higher monotonicity properties of certain Sturm-Liouville functions. IV, Canad. Journal of Math., XXIV (1972), 349-368. (1972) MR0298113
  4. E. Pavlíková, Higher monotonicity properties of certain Sturm-Liouville functions, Archivum Mathematicum, Brno, (to appear). MR0672321
  5. J. Vosmanský, Certain higher monotonicity properties of Bessel functions, Arch. Math. 1, Brno, (1977), 55-64. (1977) MR0463571
  6. J. Vosmanský, 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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