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

Miloš Háčik

Archivum Mathematicum (1974)

  • Volume: 010, Issue: 2, page 67-77
  • ISSN: 0044-8753

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Háčik, Miloš. "Higher monotonicity properties of zero points of the linear combination of the solution and its first derivative of the differential equation $y^{\prime \prime }+q(t)y=0$." Archivum Mathematicum 010.2 (1974): 67-77. <http://eudml.org/doc/15967>.

@article{Háčik1974,
author = {Háčik, Miloš},
journal = {Archivum Mathematicum},
language = {eng},
number = {2},
pages = {67-77},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Higher monotonicity properties of zero points of the linear combination of the solution and its first derivative of the differential equation $y^\{\prime \prime \}+q(t)y=0$},
url = {http://eudml.org/doc/15967},
volume = {010},
year = {1974},
}

TY - JOUR
AU - Háčik, Miloš
TI - Higher monotonicity properties of zero points of the linear combination of the solution and its first derivative of the differential equation $y^{\prime \prime }+q(t)y=0$
JO - Archivum Mathematicum
PY - 1974
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 010
IS - 2
SP - 67
EP - 77
LA - eng
UR - http://eudml.org/doc/15967
ER -

References

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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 ( α , β ), 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. (1963) Zbl0256.34005MR0276527
  3. Lorch L., Szego P., Higher monotonicity properties of certain Sturm-Liouville functions, Acta Math., 109 1963, pp. 55-73. (1963) Zbl0113.27704MR0147695
  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. (1970) Zbl0239.34014MR0296420
  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. (1966) Zbl0219.34035MR0216072

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