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. Zuzana Došlá, Higher monotonicity properties of special functions: application on Bessel case | ν | < 1 2
  4. Miloš Háčik, Peter Ivan, A note on higher monotonicity properties of generalized Airy functions
  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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