Certain higher monotonicity properties of -th derivatives of solutions of
Archivum Mathematicum (1974)
- Volume: 010, Issue: 2, page 87-102
- ISSN: 0044-8753
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topVosmanský, 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
top- Borůvka O., Lineare Differentialtransformationen 2. Ordnung, Berlin 1967. (1967)
- Hartman P., On differential equations and the function , Amer. J. Math. 83 (1961), 154-188. (1961) MR0123039
- Lorch L., Szegö P., Higher monotonicity properties of certain Sturm-Liouville functions, Acta Math. 109 (1963), 55-73. (1963) MR0147695
- 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
- 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
- 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
- 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
- Muldoon M. E., Elementary remarks on multiply monotonic function and sequences, Can. Math. Bull. 14 (1971), 69-72. (1971) MR0306420
- 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
- 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
- Vosmanský J., Some higher monotonic properties of Bessel functions, (to appear).
Citations in EuDML Documents
top- Jaromír Vosmanský, Certain higher monotonicity properties of Bessel functions
- 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
- Miloš Háčik, Peter Ivan, A note on higher monotonicity properties of generalized Airy functions
- Zuzana Došlá, Higher monotonicity properties of special functions: application on Bessel case
- Zuzana Došlá, Monotonicity properties of the linear combination of derivatives of some special functions
- Elena Pavlíková, Higher monotonicity properties of certain Sturm-Liouville functions
- Elena Pavlíková, Higher monotonicity properties of -th derivatives of solutions of
- Staněk, Svatoslav, Jaromír Vosmanský, Transformations of linear second order ordinary differential equations
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