| Title:
|
A note on the oscillation of solutions of periodic linear differential equations (English) |
| Author:
|
Bank, Steven B. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
1994 |
| Pages:
|
91-107 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A20 |
| MSC:
|
34A30 |
| MSC:
|
34C10 |
| MSC:
|
34M99 |
| idZBL:
|
Zbl 0805.34032 |
| idMR:
|
MR1257939 |
| DOI:
|
10.21136/CMJ.1994.128444 |
| . |
| Date available:
|
2009-09-24T09:36:40Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128444 |
| . |
| Reference:
|
[1] S. Bank: On the value distribution theory for entire solutions of second-order linear differential equations.Proc. London Math. Soc. 50 (1985), 505–534. Zbl 0545.30022, MR 0779401 |
| Reference:
|
[2] S. Bank: On the oscillation theory of periodic linear differential equations.Applicable Analysis 39 (1990), 95–111. Zbl 0742.34003, MR 1095627, 10.1080/00036819008839974 |
| Reference:
|
[3] S. Bank: Three results in the value-distribution theory of linear differential equations.Kodai Math. J. 9 (1986), 225–240. MR 0842870, 10.2996/kmj/1138037205 |
| Reference:
|
[4] S. Bank: A note on complex oscillation theory.Applicable Analysis (submitted). Zbl 0851.34004 |
| Reference:
|
[5] S. Bank, G. Frank, I. Laine: Über die Nullstellen von Lösungen linearer Differentialgleichungen.Math. Z. 183 (1983), 355–364. MR 0706393, 10.1007/BF01176476 |
| Reference:
|
[6] S. Bank, I. Laine: On the oscillation theory of $f^{\prime \prime } + Af = 0$ where $A$ is entire.Trans. Amer. Math. Soc. 273 (1982), 351–363. MR 0664047 |
| Reference:
|
[7] S. Bank, I. Laine: Representations of solutions of periodic second-order linear differential equations.J. Reine Angew. Math. 344 (1983), 1–21. MR 0716244 |
| Reference:
|
[8] S. Bank, I. Laine, J. Langley: On the frequency of zeros of solutions of second-order linear differential equations.Resultate Math. 10 (1986), 8–24. MR 0869795, 10.1007/BF03322360 |
| Reference:
|
[9] S. Bank, I. Laine, J. Langley: Oscillation results for solutions of linear differential equations in the complex domain.Resultate Math. 16 (1989), 3–15. MR 1020212, 10.1007/BF03322641 |
| Reference:
|
[10] S. Bank, J. Langley: On the oscillation of solutions of certain linear differential equations in the complex domain.Proc. Edinburgh Math. Soc. 30 (1987), 455–469. MR 0908453 |
| Reference:
|
[11] S. Bank, J. Langley: On the zeros of solutions of the equation $w^{(k)} + (\text{Re}^p + Q)w = 0$.Kodai Math. J. 13 (1990), 298–309. MR 1061927, 10.2996/kmj/1138039225 |
| Reference:
|
[12] Gao Shi’an: Some results on the complex oscillation theory of periodic second-order linear differential equations.Kexue Tongbao 33 (1988), 1064–1068. Zbl 0674.34030, MR 0961192 |
| Reference:
|
[13] Gao Shi’an: A further result on the complex oscillation theory of second order linear differential equations.Proc. Edinburgh Math. Soc. 33 (1990), 143–158. MR 1038772 |
| Reference:
|
[14] W. K. Hayman: Meromorphic functions.Clarendon Press, Oxford, 1964. Zbl 0115.06203, MR 0164038 |
| Reference:
|
[15] W. K. Hayman: Slowly growing integral and subharmonic functions.Comment. Math. Helv. 34 (1960), 75–84. Zbl 0123.26702, MR 0111839, 10.1007/BF02565929 |
| Reference:
|
[16] C. Z. Huang: Some results on the complex oscillation theory of second order linear differential equations.Kodai Math. J. 14 (1991), 313–319. Zbl 0754.34009, MR 1131915, 10.2996/kmj/1138039456 |
| Reference:
|
[17] R. Nevanlinna: Le Théorème de Picard-Borel.Chelsea, New York, 1974. Zbl 0357.30019 |
| Reference:
|
[18] J. Rossi: Second order differential equations with transcendental coefficients.Proc. Amer. Math. Soc. 97 (1986), 61–66. Zbl 0596.30047, MR 0831388, 10.1090/S0002-9939-1986-0831388-8 |
| Reference:
|
[19] S. Saks and A. Zygmund: Analytic Functions.Monografie Mat., Tom 28, Warsaw, 1952. MR 0055432 |
| Reference:
|
[20] L.-C. Shen: Solution to a problem of S. Bank regarding the exponent of convergence of the zeros of the solutions of differential equation $f^{\prime \prime } + Af = 0$.Kexue Tongbao 30 (1985), 1581–1585. MR 0850643 |
| Reference:
|
[21] G. Valiron: Lectures on the General Theory of Integral Functions.Chelsea, New York, 1949. |
| . |
