| Title:
|
Certain higher monotonicity properties of $i$-th derivatives of solutions of $y''+a(t)y'+b(t)y=0$ (English) |
| Author:
|
Vosmanský, Jaromír |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
10 |
| Issue:
|
2 |
| Year:
|
1974 |
| Pages:
|
87-102 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26D10 |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 0318.34048 |
| idMR:
|
MR0399578 |
| . |
| Date available:
|
2008-06-05T19:55:19Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104821 |
| . |
| Reference:
|
[1] Borůvka O.: Lineare Differentialtransformationen 2. Ordnung.Berlin 1967. |
| Reference:
|
[2] Hartman P.: On differential equations and the function $J^2 + Y^2$.Amer. J. Math. 83 (1961), 154-188. MR 0123039 |
| Reference:
|
[3] Lorch L., Szegö P.: Higher monotonicity properties of certain Sturm-Liouville functions.Acta Math. 109 (1963), 55-73. MR 0147695 |
| Reference:
|
[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. MR 0158114 |
| Reference:
|
[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. MR 0274845 |
| Reference:
|
[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. MR 0298113 |
| Reference:
|
[7] Muldoon M. E.: Extension of a result of L. Lorch and P. Szegö on higher monotonicity.Canad. Math. Bull. 11. (1968), 447-451. MR 0233004 |
| Reference:
|
[8] Muldoon M. E.: Elementary remarks on multiply monotonic function and sequences.Can. Math. Bull. 14 (1971), 69-72. MR 0306420 |
| Reference:
|
[9] Vosmanský J.: The monotonicity of extremants of integrals of the differential equation y" + q(t)y = 0.Arch. Math. 2 (1966), 105-111. MR 0216072 |
| Reference:
|
[10] Vosmanský J.: Monotonic properties of zeros and extremants of the differential equation y'' + q(t)y = 0.Arch. Math, 6 (1970), 37-73. Zbl 0239.34014, MR 0296420 |
| Reference:
|
[11] Vosmanský J.: Some higher monotonic properties of Bessel functions.(to appear). |
| . |
