@article{10_21136_CMJ_1995_128556,
author = {Eisner, Jan and Ku\v{c}era, Milan},
title = {Hopf bifurcation and ordinary differential inequalities},
journal = {Czechoslovak Mathematical Journal},
pages = {577--608},
year = {1995},
volume = {45},
number = {4},
doi = {10.21136/CMJ.1995.128556},
mrnumber = {1354920},
zbl = {0848.34020},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128556/}
}
TY - JOUR AU - Eisner, Jan AU - Kučera, Milan TI - Hopf bifurcation and ordinary differential inequalities JO - Czechoslovak Mathematical Journal PY - 1995 SP - 577 EP - 608 VL - 45 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128556/ DO - 10.21136/CMJ.1995.128556 LA - en ID - 10_21136_CMJ_1995_128556 ER -
%0 Journal Article %A Eisner, Jan %A Kučera, Milan %T Hopf bifurcation and ordinary differential inequalities %J Czechoslovak Mathematical Journal %D 1995 %P 577-608 %V 45 %N 4 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128556/ %R 10.21136/CMJ.1995.128556 %G en %F 10_21136_CMJ_1995_128556
Eisner, Jan; Kučera, Milan. Hopf bifurcation and ordinary differential inequalities. Czechoslovak Mathematical Journal, Tome 45 (1995) no. 4, pp. 577-608. doi: 10.21136/CMJ.1995.128556
[1] J. P. Aubin, A. Cellina: Differential Inclusions. Springer Verlag, Berlin, 1984. | MR
[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
[3] J. Eisner: Branching of periodic solutions to differential inequalities. Thesis, Charles University, 1991. (Czech)
[4] M. Kučera: Bifurcation points of variational inequalities. Czechoslovak Math. J. 32 (107) (1982), 208–226. | MR
[5] M. Kučera: A global continuation theorem for obtaining eigenvalues and bifurcation points. Czechoslovak Math. J. 38 (133) (1988), 120–137. | MR
[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
[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
[8] J. Kurzweil: Ordinary Differential Equations. Studies in Applied Mechanics 13, Elsevier, Amsterdam-Oxford-New York-Tokyo, 1986. | MR | Zbl
[9] J. L. Lions: Quelques méthodes de resolution de problemes aux limites non linéaires. Paris, 1969. | MR
[10] J. E. Marsden, M. Mc Cracken: The Hopf Bifurcation Theorem and Applications. Springer, Berlin, 1976. | MR
[11] L. Nirenberg: Topics in Nonlinear Functional Analysis. New York, 1974. | MR | Zbl
[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. | MR | Zbl
[13] P. H. Rabinowitz: Some global results for non-linear eigenvalue problems. J. Functional Analysis 7 (1971), 487–513. | DOI | MR
[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
Cité par Sources :