| Title:
|
Asymptotic behaviour of Riccati's differential equation associated with self-adjoint scalar equations of even order (English) |
| Author:
|
Kratz, Werner |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
38 |
| Issue:
|
2 |
| Year:
|
1988 |
| Pages:
|
351-365 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34E05 |
| idZBL:
|
Zbl 0659.34065 |
| idMR:
|
MR946304 |
| DOI:
|
10.21136/CMJ.1988.102230 |
| . |
| Date available:
|
2008-06-09T15:21:39Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102230 |
| . |
| Reference:
|
[1] Birkhoff G. D.: On the asymptotic character of the solutions of certain linear differential equations containing a parameter.Trans. Amer. Math. Soc. 9 (1908), 219-231. MR 1500810, 10.1090/S0002-9947-1908-1500810-1 |
| Reference:
|
[2] Coddington E. A., Levinson N.: Theory of ordinary differential equations.Mc Graw-Hill 1955. Zbl 0064.33002, MR 0069338 |
| Reference:
|
[3] Eastham M. S. P., Grundniewicz С. G. M.: Asymptotic theory and deficiency indices for higher-order self-adjoint differential equations.J. London Math. Soc. (2), 24 (1981), 255-271. MR 0631938, 10.1112/jlms/s2-24.2.255 |
| Reference:
|
[4] Eberhard W.: Über das asymptotische Verhalten von Lösungen der linearen Differentialgleichung $M[y]=\lambda N[y]$ für große Werte von $\lambda $.Math. Z. 119 (1971), 160-170. Zbl 0198.12001, MR 0284658 |
| Reference:
|
[5] Kratz W.: А substitute of l'Hospital's rule for matrices.To appear in the Proc. Amer. Math. Soc. Zbl 0629.15014, MR 0875370 |
| Reference:
|
[6] Kratz W., Peyerimhoff A.: A treatment of Sturm-Liouville eigenvalue problems via Picone's identity.Analysis 5 (1985), 97-152. Zbl 0541.34013, MR 0791495, 10.1524/anly.1985.5.12.97 |
| Reference:
|
[7] Neumark M. A.: Lineare Differentialoperatoren.Akademie-Verlag 1967. MR 0216049 |
| Reference:
|
[8] Reid W. T.: Ordinary differential equations.Wiley 1971. Zbl 0212.10901, MR 0273082 |
| Reference:
|
[9] Reid W. T.: Riccati differential equations.Academic Press 1972. Zbl 0254.34003, MR 0357936 |
| Reference:
|
[10] Swanson C. A.: Picone's identity.Rend. Mat. (6) 8 (1975), 373-397. Zbl 0327.34028, MR 0402188 |
| Reference:
|
[11] Wilkinson J. H.: The algebraic eigenvalue problem.Clarendon Press 1965. Zbl 0258.65037, MR 0184422 |
| Reference:
|
[12] Wolter M.: Über die Entwicklungen nach Eigenfunktionen $N$-irregulärer Eigenwertprobleme mit zerfallenden Randbedingungen.Math. Z. 178 (1981), 99-113. Zbl 0448.34021, MR 0627097, 10.1007/BF01218374 |
| . |
