Monotonic properties of zeros and extremants of the differential equation y ' ' + q ( t ) y = 0

Jaromír Vosmanský

Archivum Mathematicum (1970)

  • Volume: 006, Issue: 1, page 37-74
  • ISSN: 0044-8753

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Vosmanský, Jaromír. "Monotonic properties of zeros and extremants of the differential equation $y^{\prime \prime }+q(t)y=0$." Archivum Mathematicum 006.1 (1970): 37-74. <http://eudml.org/doc/15879>.

@article{Vosmanský1970,
author = {Vosmanský, Jaromír},
journal = {Archivum Mathematicum},
language = {eng},
number = {1},
pages = {37-74},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Monotonic properties of zeros and extremants of the differential equation $y^\{\prime \prime \}+q(t)y=0$},
url = {http://eudml.org/doc/15879},
volume = {006},
year = {1970},
}

TY - JOUR
AU - Vosmanský, Jaromír
TI - Monotonic properties of zeros and extremants of the differential equation $y^{\prime \prime }+q(t)y=0$
JO - Archivum Mathematicum
PY - 1970
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 006
IS - 1
SP - 37
EP - 74
LA - eng
UR - http://eudml.org/doc/15879
ER -

References

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  1. Borůvka O., O kolebljuščichsja integralach differencialnych linejnych uravnenij 2-ogo porjadka, Čech. mat. ž., 3 (78) 1953, 199-251. (1953) MR0060671
  2. Borůvka O., Sur les transformations différentielles linéares complètes du second ordre, Ann. di Mat. p. ed app., 49, 1960, 229-251. (1960) MR0114962
  3. Hartman P., On differential equations and the function J μ 2 + Y μ 2 , Amer. Jour. of Math., 83, 1961, 154-188. (1961) MR0123039
  4. Ince E. L., Ordinary Differential Equations, 1927. Zbl0612.34002
  5. Lorch L., Szego P., Higher monotonicity properties of certain Sturm-Liouville functions, Acta Math., 109, 1963, 55-73. (1963) Zbl0113.27704MR0147695
  6. Lorch L., Szego P., Higher monotonicity properties of certain Sturm-Liouville functions II, Bull. de l'Acad. Pol. des Sci. Ser. Math. Astr. et Phys., Vol. 11, 1963, 455-457. (1963) Zbl0113.27704MR0158114
  7. Neuman F., Sur les équations différentielles linéaires du second ordre dont les solutions ont des racines formant une suite convexe, Acta Math., Acad. Scient. Hung., 13, 1962, 281-287. (1962) Zbl0117.30303MR0148999
  8. Sansone G., Obyknověnnyje differencialnyje uravnenija, Moskva 1953. (1953) MR0064795
  9. Vallée-Poussin Ch. J., Cours d'Analyse Infinitésimal, vol. 1. 8th éd., Louvain, 1938, reprinted, New York, 1946. (1938) 
  10. Vosmanský J., The monotonicity of extremants of integrals of the differential equation y " + q ( t ) y = 0 , Arch. math. (Brno) 2, 1966, 105-111. (1966) MR0216072
  11. Watson G. N., A Treatise on the Theory of Bessel Functions, Cambridge, 1922. (1922) 

Citations in EuDML Documents

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  1. Leonard Carlitz, Josef Kaucký, Jaromír Vosmanský, On two combinatorial identities
  2. František Neuman, Oscillatory behavior of iterative linear ordinary differential equations depends on their order
  3. Miloš Háčik, Peter Ivan, A note on higher monotonicity properties of generalized Airy functions
  4. Zuzana Došlá, Higher monotonicity properties of special functions: application on Bessel case | ν | < 1 2
  5. Miloš Háčik, 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
  6. Jaromír Vosmanský, Certain higher monotonicity properties of i -th derivatives of solutions of y ' ' + a ( t ) y ' + b ( t ) y = 0

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