| Title:
|
Asymptotic behaviour of solutions of a linear differential equation (English) |
| Author:
|
Rovder, Jozef |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
22 |
| Issue:
|
4 |
| Year:
|
1986 |
| Pages:
|
193-202 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34E05 |
| idZBL:
|
Zbl 0607.34051 |
| idMR:
|
MR868534 |
| . |
| Date available:
|
2008-06-06T06:16:38Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107265 |
| . |
| Reference:
|
[1] E. A. Coddington N. Levinson: Theory of Ordinary Differential Equations.New York, 1955. MR 0069338 |
| Reference:
|
[2] P. Hartman: Ordinary Differential Equations.New York, London, Sydney, 1964. Zbl 0125.32102, MR 0171038 |
| Reference:
|
[3] P. Hartman A. Wintner: Asymptotic integrations of linear differential equations.Amer. J. Math., 77 (1955), 45-87. MR 0066520 |
| Reference:
|
[4] P. Hartman: On differential equations and the functions $J^2 + Y^2$.Amer. J. Math. 83 (1961), 154-188. MR 0123039 |
| Reference:
|
[5] D. B. Hinton: Asymptotic behaviour of solutions of $(ry^{(m)})^{(k)} ± qy = 0$.J. Diff. Eq., 4, 1968, 590-596. MR 0232047 |
| Reference:
|
[6] J. Mamrilla: On the oscillation of solutions of $y^{(2n)} + By' + Ay = 0$, B > 0.Math. Slovaca 32, 1982, 405-512. Zbl 0506.34029, MR 0676578 |
| Reference:
|
[7] J. Mamrilla: On the oscillation of solutions of $y^{(2n)} + By' + Ay = 0$, B < 0.Acta Univ. Comen.-Mathematica XL-XLI, 1982, 169-181 (Russian). Zbl 0506.34029 |
| Reference:
|
[8] G. W. Pfeifer: Asymptotic solutions of the equation y" -f pyf -f ry = 0.J. Diff. Eq., 11 (1972), 145-155. |
| Reference:
|
[9] J. Rovder: Asymptotic behaviour of solutions of the differential equation of the fourth order.Math. Slovaca 30 1980, 379-392. Zbl 0482.34050, MR 0595299 |
| Reference:
|
[10] J. Šimša: Asymptotic integration of perturbed linear differential equations under conditions involving ordinary integral convergence.Siam J. Math. Anal. 15 (1984), 116-123. MR 0728686 |
| Reference:
|
[11] J. Šimša: The condition of ordinary integral convergence in the asymptotic theory of linear differential equations with almost constant coefficients.Siam Math. J. Anal., 16 (1985), 757-769. MR 0793920 |
| Reference:
|
[12] A. Wintner: On the normalization of characteristic differentials in continuous spectra.Phys. Rev., 72 (1947), 516-517. Zbl 0029.29303, MR 0022004 |
| Reference:
|
[13] Yu, Qian Biao: Oscillatory and asymptotic behaviour of the solutions of higher-order linear differential equations.Acta Math. Appl. Sinica 5 (1982), 36-44. MR 0762669 |
| . |
