| Title:
|
Hopf bifurcation and ordinary differential inequalities (English) |
| Author:
|
Eisner, Jan |
| Author:
|
Kučera, Milan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
45 |
| Issue:
|
4 |
| Year:
|
1995 |
| Pages:
|
577-608 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A40 |
| MSC:
|
34C23 |
| MSC:
|
58F14 |
| idZBL:
|
Zbl 0848.34020 |
| idMR:
|
MR1354920 |
| DOI:
|
10.21136/CMJ.1995.128556 |
| . |
| Date available:
|
2009-09-24T09:50:57Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128556 |
| . |
| Reference:
|
[1] J. P. Aubin, A. Cellina: Differential Inclusions.Springer Verlag, Berlin, 1984. MR 0755330 |
| Reference:
|
[2] M. Bosák, M. Kučera: A bifurcation of periodic solutions to differential inequalities in $R^3$.Czechoslovak Math. J. 42 (117) (1992), 339–363. MR 1179505 |
| Reference:
|
[3] J. Eisner: Branching of periodic solutions to differential inequalities.Thesis, Charles University, 1991. (Czech) |
| Reference:
|
[4] M. Kučera: Bifurcation points of variational inequalities.Czechoslovak Math. J. 32 (107) (1982), 208–226. MR 0654057 |
| Reference:
|
[5] M. Kučera: A global continuation theorem for obtaining eigenvalues and bifurcation points.Czechoslovak Math. J. 38 (133) (1988), 120–137. MR 0925946 |
| Reference:
|
[6] M. Kučera: Bifurcation of periodic solutions to ordinary differential inequalities.Colloquia Math. Soc. J. Bolyai 62. Differential Equations, Budapest, 1991, pp. 227–255. MR 1468758 |
| Reference:
|
[7] M. Kučera: Stability of bifurcating periodic solutions of differential inequalities in $R^3$.Berlin, 1994, Preprint No. 89, Institut für Angewandte Analysis und Stochastik. MR 1666194 |
| Reference:
|
[8] J. Kurzweil: Ordinary Differential Equations.Studies in Applied Mechanics 13, Elsevier, Amsterdam-Oxford-New York-Tokyo, 1986. Zbl 0667.34002, MR 0929466 |
| Reference:
|
[9] J. L. Lions: Quelques méthodes de resolution de problemes aux limites non linéaires.Paris, 1969. MR 0259693 |
| Reference:
|
[10] J. E. Marsden, M. Mc Cracken: The Hopf Bifurcation Theorem and Applications.Springer, Berlin, 1976. MR 0494309 |
| Reference:
|
[11] L. Nirenberg: Topics in Nonlinear Functional Analysis.New York, 1974. Zbl 0286.47037, MR 0488102 |
| Reference:
|
[12] M. Pazy: Semi-groups of nonlinear contractions in Hilbert space.Problems in Nonlinear Analysis (C.I.M.E., IV Ciclo, Varenna 1970), Edizioni Cremonese, Rome, 1971, pp. 343–430. Zbl 0228.47038, MR 0291877 |
| Reference:
|
[13] P. H. Rabinowitz: Some global results for non-linear eigenvalue problems.J. Functional Analysis 7 (1971), 487–513. MR 0301587, 10.1016/0022-1236(71)90030-9 |
| Reference:
|
[14] E. H. Zarantonello: Projections on convex sets in Hilbert space and spectral theory.Contributions to Nonlinear Functional Analysis, E. H. Zarantonello (ed.), Academic Press, New York, 1971. Zbl 0281.47043 |
| . |
