| Title:
|
Existence of positive solutions of $n$-dimensional system of nonlinear differential equations entering into a singular point (English) |
| Author:
|
Diblík, Josef |
| Author:
|
Růžičková, Miroslava |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
5 |
| Year:
|
2000 |
| Pages:
|
435-446 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C05 |
| MSC:
|
34D05 |
| idZBL:
|
Zbl 1090.34530 |
| idMR:
|
MR1822812 |
| . |
| Date available:
|
2008-06-06T22:26:59Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107757 |
| . |
| Reference:
|
1. K. Balla: On solution of singular boundary problems for nonlinear systems of ordinary differential equations.Zh. vych. mat. i mat. fiz., 20 (1980), 909–922 (in Russian). MR 0585288 |
| Reference:
|
2. J. Baštinec, J. Diblík: Three–point singular boundary-value problem for a system of three differential equations.Math. Communication, 3 (1998), 211–219. MR 1679740 |
| Reference:
|
3. J. Diblík: On existence of O-curves of a singular system of differential equations.Math. Nachr., 122 (1985), 247–258 (in Russian). MR 0871207 |
| Reference:
|
4. J. Diblík: On existence of solutions of a real system of ordinary differential equations, entering into a singular point.Ukrainian Math. J., 38 (1986), 701–706 (in Russian). MR 0881960 |
| Reference:
|
5. J. Diblík: On existence of O - curves of systems of ordinary differential equations, that are asymptotically equal to a given curve.Differential Equations, 23 (1987), 2159 – 2161 (in Russian). |
| Reference:
|
6. J. Diblík: Some asymptotic properties of solutions of certain classes of ordinary differential equations.J. Math. Anal. Appl., 165 (1992), 288–304. MR 1151073 |
| Reference:
|
7. J. Diblík: On asymptotic behaviour of solutions of certain classes of ordinary differential equations.J. Diff. Equat., 95 (No 2), 203–217, 1992. MR 1165420 |
| Reference:
|
8. J. Diblík, M. Růžičková: Existence of solutions of a nonlinear differential system of differential equations entering into a singular point.Studies of University in Žilina, Math. – Phys. Ser. 32 (1999), 11–19. MR 1755619 |
| Reference:
|
9. Ph. Hartman: Ordinary differential equations.Second Edition, Birkhäuser, 1982. MR 0658490 |
| Reference:
|
10. V.A. Chechyk: Investigations of systems ordinary differential equations with singularities.Trudy Moskovsk. Mat. Obsc., 8 (1959), 155–198 (in Russian). MR 0107066 |
| Reference:
|
11. I.T. Kiguradze: Some singular boundary value problems for ordinary differential equations.Izd. Tbilisskovo univ., Tbilisi, 1975, 352 pp. (in Russian). MR 0499402 |
| Reference:
|
12. N.B. Konyukhova: Singular Cauchy problems for systems of ordinary differential equations.Zh. vych. mat. i mat. fiz., 23 (1983), 629–645 (in Russian). Zbl 0555.34002, MR 0706888 |
| Reference:
|
13. Chr. Nowak: Some remarks on a paper by Samimi on nonuniqueness criteria for ordinary differential equations.Appl. Anal., 47 (1992), 39–44. Zbl 0792.34002, MR 1214647 |
| Reference:
|
14. D. O’Regan: Nonresonant nonlinear singular problems in the limit circle case.J. Math. Anal. Appl., 197 (1996), 708–725. MR 1373074 |
| Reference:
|
15. M. Růžičková: The asymptotic properties of solutions of differential system of the form $g_i (x) y'_i = u_i (y_i ) + f_i (x, y_1 , . . . , y_n )$, $i = 1, 2, . . . , n$ in some neighbourhood of a singular point.Acta Univ. Palack. Olomuc. Fac. Rer. Nat., Math. 32 (1993), 151–158. |
| Reference:
|
16. T. Ważewski: Sur un principe topologique de l’examen de l’ allure asymptotique des intégrales des équations différentielles ordinaires.Ann. de la Soc. Polon. de Mathèmatique, 20 (1947), (Krakow 1948), 279–313. MR 0026206 |
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