Contribution to the monotonicity of the sequence of zero points of integrals of the differential equation y ' ' + g ( t ) y = 0 with regard to the basis [ α , β ]

Miloš Háčik

Archivum Mathematicum (1972)

  • Volume: 008, Issue: 2, page 79-83
  • ISSN: 0044-8753

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Háčik, Miloš. "Contribution to the monotonicity of the sequence of zero points of integrals of the differential equation $y^{\prime \prime }+g(t)y=0$ with regard to the basis $[\alpha ,\beta ]$." Archivum Mathematicum 008.2 (1972): 79-83. <http://eudml.org/doc/15920>.

@article{Háčik1972,
author = {Háčik, Miloš},
journal = {Archivum Mathematicum},
language = {eng},
number = {2},
pages = {79-83},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Contribution to the monotonicity of the sequence of zero points of integrals of the differential equation $y^\{\prime \prime \}+g(t)y=0$ with regard to the basis $[\alpha ,\beta ]$},
url = {http://eudml.org/doc/15920},
volume = {008},
year = {1972},
}

TY - JOUR
AU - Háčik, Miloš
TI - Contribution to the monotonicity of the sequence of zero points of integrals of the differential equation $y^{\prime \prime }+g(t)y=0$ with regard to the basis $[\alpha ,\beta ]$
JO - Archivum Mathematicum
PY - 1972
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 008
IS - 2
SP - 79
EP - 83
LA - eng
UR - http://eudml.org/doc/15920
ER -

References

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  1. Hartman Ph., On differential Equations and the Functions J μ 2 + Y μ 2 , Amer. Journal of Math. Vol. 83 1961 pp. 164-187 (1961) MR0123039
  2. Laitoch M., L'équation associée dans la théorie des transformations des équations différentielles du second ordre, Acta Univ. Palack. Olomucensis 1963 TOM 12 pp. 46-62 (1963) Zbl0256.34005MR0276527
  3. Lorch Lee, Szego P., Higher Monotonicity Properties of Certain Sturm-Liouville Functions I, Acta Math. 109 1963 pp. 56-73 (1963) MR0147695
  4. Lorch Lee, Szego P., Higher Monotonicity Properties of Certain Sturm-Liouville Functions II, Bull. de l'Academie Polonaise des Sci. Math., Astr. et Phys. Vol. XI 1963 pp. 455-457 (1963) Zbl0113.27704MR0158114
  5. Lorch Lee, Muldoon M., Szego P., Higher Monotonicity Properties of Certain Sturm-Liouville Functions III, Canad. Journal of Math. XXII 1970 pp. 1238-1264 (1970) MR0274845
  6. Vosmanský J., The Monotonicity of Extremants of Integrals of the Differential Equation y " + q ( t ) y = 0 , Archivum Math. (Brno) T 2 1966 pp. 105-111 (1966) MR0216072
  7. Williamson R. E., Multiply Monotone Functions and Their Laplace Transforms, Duke Math. Journal Vol. 23 1956 pp. 189-206. (1956) Zbl0070.28501MR0077581

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