Asymptotic behaviour of Riccati's differential equation associated with self-adjoint scalar equations of even order
Czechoslovak Mathematical Journal, Tome 38 (1988) no. 2, pp. 351-365
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1988.102230
Classification : 34E05
@article{10_21136_CMJ_1988_102230,
     author = {Kratz, Werner},
     title = {Asymptotic behaviour of {Riccati's} differential equation associated with self-adjoint scalar equations of even order},
     journal = {Czechoslovak Mathematical Journal},
     pages = {351--365},
     year = {1988},
     volume = {38},
     number = {2},
     doi = {10.21136/CMJ.1988.102230},
     mrnumber = {946304},
     zbl = {0659.34065},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1988.102230/}
}
TY  - JOUR
AU  - Kratz, Werner
TI  - Asymptotic behaviour of Riccati's differential equation associated with self-adjoint scalar equations of even order
JO  - Czechoslovak Mathematical Journal
PY  - 1988
SP  - 351
EP  - 365
VL  - 38
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1988.102230/
DO  - 10.21136/CMJ.1988.102230
LA  - en
ID  - 10_21136_CMJ_1988_102230
ER  - 
%0 Journal Article
%A Kratz, Werner
%T Asymptotic behaviour of Riccati's differential equation associated with self-adjoint scalar equations of even order
%J Czechoslovak Mathematical Journal
%D 1988
%P 351-365
%V 38
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1988.102230/
%R 10.21136/CMJ.1988.102230
%G en
%F 10_21136_CMJ_1988_102230
Kratz, Werner. Asymptotic behaviour of Riccati's differential equation associated with self-adjoint scalar equations of even order. Czechoslovak Mathematical Journal, Tome 38 (1988) no. 2, pp. 351-365. doi: 10.21136/CMJ.1988.102230

[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. | DOI | MR

[2] Coddington E. A., Levinson N.: Theory of ordinary differential equations. Mc Graw-Hill 1955. | MR | Zbl

[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. | DOI | MR

[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. | MR | Zbl

[5] Kratz W.: А substitute of l'Hospital's rule for matrices. To appear in the Proc. Amer. Math. Soc. | MR | Zbl

[6] Kratz W., Peyerimhoff A.: A treatment of Sturm-Liouville eigenvalue problems via Picone's identity. Analysis 5 (1985), 97-152. | DOI | MR | Zbl

[7] Neumark M. A.: Lineare Differentialoperatoren. Akademie-Verlag 1967. | MR

[8] Reid W. T.: Ordinary differential equations. Wiley 1971. | MR | Zbl

[9] Reid W. T.: Riccati differential equations. Academic Press 1972. | MR | Zbl

[10] Swanson C. A.: Picone's identity. Rend. Mat. (6) 8 (1975), 373-397. | MR | Zbl

[11] Wilkinson J. H.: The algebraic eigenvalue problem. Clarendon Press 1965. | MR | Zbl

[12] Wolter M.: Über die Entwicklungen nach Eigenfunktionen $N$-irregulärer Eigenwertprobleme mit zerfallenden Randbedingungen. Math. Z. 178 (1981), 99-113. | DOI | MR | Zbl

Cité par Sources :