Certain higher monotonicity properties of i -th derivatives of solutions of y ' ' + a ( t ) y ' + b ( t ) y = 0

Jaromír Vosmanský

Archivum Mathematicum (1974)

  • Volume: 010, Issue: 2, page 87-102
  • ISSN: 0044-8753

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Vosmanský, Jaromír. "Certain higher monotonicity properties of $i$-th derivatives of solutions of $y^{\prime \prime }+a(t)y^{\prime }+b(t)y=0$." Archivum Mathematicum 010.2 (1974): 87-102. <http://eudml.org/doc/15969>.

@article{Vosmanský1974,
author = {Vosmanský, Jaromír},
journal = {Archivum Mathematicum},
language = {eng},
number = {2},
pages = {87-102},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Certain higher monotonicity properties of $i$-th derivatives of solutions of $y^\{\prime \prime \}+a(t)y^\{\prime \}+b(t)y=0$},
url = {http://eudml.org/doc/15969},
volume = {010},
year = {1974},
}

TY - JOUR
AU - Vosmanský, Jaromír
TI - Certain higher monotonicity properties of $i$-th derivatives of solutions of $y^{\prime \prime }+a(t)y^{\prime }+b(t)y=0$
JO - Archivum Mathematicum
PY - 1974
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 010
IS - 2
SP - 87
EP - 102
LA - eng
UR - http://eudml.org/doc/15969
ER -

References

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  1. Borůvka O., Lineare Differentialtransformationen 2. Ordnung, Berlin 1967. (1967) 
  2. Hartman P., On differential equations and the function J 2 + Y 2 , Amer. J. Math. 83 (1961), 154-188. (1961) MR0123039
  3. Lorch L., Szegö P., Higher monotonicity properties of certain Sturm-Liouville functions, Acta Math. 109 (1963), 55-73. (1963) MR0147695
  4. Lorch L., Szegö P., Higher monotonicity properties of certain Sturm-Liouville functions. II, Bull. Acad. Polon. Sci. Ser. Sci. Math., Astronom. Phys. 11 (1963), 455-457. (1963) MR0158114
  5. Lorch L., Szegö P., Muldoon M. E., Higher monotonicity properties of certain Sturm-Liouville functions III, The Canadian Journal of Math. XXII (1970), 1238-1265. (1970) MR0274845
  6. Lorch L., Szegö P., Muldoon M. E., Higher monotonicity properties of certain Sturm-Louville functions IV, The Canadian Journal of Math. XXIV (1972) 349-368. (1972) MR0298113
  7. Muldoon M. E., Extension of a result of L. Lorch and P. Szegö on higher monotonicity, Canad. Math. Bull. 11. (1968), 447-451. (1968) MR0233004
  8. Muldoon M. E., Elementary remarks on multiply monotonic function and sequences, Can. Math. Bull. 14 (1971), 69-72. (1971) MR0306420
  9. Vosmanský J., The monotonicity of extremants of integrals of the differential equation y" + q(t)y = 0, Arch. Math. 2 (1966), 105-111. (1966) MR0216072
  10. Vosmanský J., Monotonic properties of zeros and extremants of the differential equation y'' + q(t)y = 0, Arch. Math, 6 (1970), 37-73. (1970) Zbl0239.34014MR0296420
  11. Vosmanský J., Some higher monotonic properties of Bessel functions, (to appear). 

Citations in EuDML Documents

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  1. Jaromír Vosmanský, Certain higher monotonicity properties of Bessel functions
  2. Anna Maria Bresquar, Approssimabilità degli zeri di una funzione mediante gli zeri di una sua espressione asintotica. Applicazione alle soluzioni delle equazioni differenziali lineari del secondo ordine
  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. Zuzana Došlá, Monotonicity properties of the linear combination of derivatives of some special functions
  6. Elena Pavlíková, Higher monotonicity properties of certain Sturm-Liouville functions
  7. Elena Pavlíková, Higher monotonicity properties of i -th derivatives of solutions of y ' ' + a ( x ) y ' + b ( x ) y = 0
  8. Staněk, Svatoslav, Jaromír Vosmanský, Transformations of linear second order ordinary differential equations

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