Destabilizing effect of unilateral conditions in reaction-diffusion systems
Commentationes Mathematicae Universitatis Carolinae, Tome 27 (1986) no. 1, pp. 171-187 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 35B30, 35B35, 35K50, 35K57, 35K60, 35P30, 58E07
@article{CMUC_1986_27_1_a13,
     author = {Ku\v{c}era, Milan and Neustupa, Ji\v{r}{\'\i}},
     title = {Destabilizing effect of unilateral conditions in reaction-diffusion systems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {171--187},
     year = {1986},
     volume = {27},
     number = {1},
     mrnumber = {843429},
     zbl = {0597.35006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1986_27_1_a13/}
}
TY  - JOUR
AU  - Kučera, Milan
AU  - Neustupa, Jiří
TI  - Destabilizing effect of unilateral conditions in reaction-diffusion systems
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1986
SP  - 171
EP  - 187
VL  - 27
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CMUC_1986_27_1_a13/
LA  - en
ID  - CMUC_1986_27_1_a13
ER  - 
%0 Journal Article
%A Kučera, Milan
%A Neustupa, Jiří
%T Destabilizing effect of unilateral conditions in reaction-diffusion systems
%J Commentationes Mathematicae Universitatis Carolinae
%D 1986
%P 171-187
%V 27
%N 1
%U http://geodesic.mathdoc.fr/item/CMUC_1986_27_1_a13/
%G en
%F CMUC_1986_27_1_a13
Kučera, Milan; Neustupa, Jiří. Destabilizing effect of unilateral conditions in reaction-diffusion systems. Commentationes Mathematicae Universitatis Carolinae, Tome 27 (1986) no. 1, pp. 171-187. http://geodesic.mathdoc.fr/item/CMUC_1986_27_1_a13/

[1] E. N. DANCER: On the structure of solutions of non-linear eigenvalue problems. Ind. Univ. Math. J. 23 (1974), 1069-1076. | MR | Zbl

[2] G. DUVANT J.-L. LIONS: Les inéquations en méchanique et en physique. Dunod, Paris 1972. | MR

[3] S. FUČÍK A. KUFNER: Nonlinear differencial equations. Elsevier, Scient. Publ. Comp., Amsterdam - Oxford - New York 1980. | MR

[4] P. DRÁBEK M. KUČERA M. MÍKOVÁ: Bifurcation points of reaction-diffusion systems with unilateral conditions. Czechoslovak Math. J. 35 (1985), 639-660. | MR

[5] P. DRÁBEK M. KUČERA: Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions. Czechoslovak Math. J. 36 (1986). | MR

[6] P. DRÁBEK M. KUČERA: Reaction-diffusion systems: Destabilizing effect of unilateral conditions. To appear. | MR

[7] M. KUČERA: A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory. Čas. pěst. mat. 104 (1979), 389-411. | MR

[8] M. KUČERA: A new method for obtaining eigenvalues of variational inequalities. Operators with multiple eigenvalues. Czechoslovak Math. J. 32 (107) (1982), 197-207. | MR

[9] M. KUČERA: Bifurcation points of inequalities of reactiondiffusion type. To appear.

[10] M. MIMURA Y. NISHIURA M. YAMAGUTI: Some diffusive prey and predator systems and their bifurcation problems. Ann. New York Acad. Sci 316 (1979), 490-510. | MR

[11] Y. NISHIURA: Global structure of bifurcating solutions of some reaction-diffusion systems. SIAM J. Math. Anal. Vol. 13, No. 4, July 1982, 555-593. | MR | Zbl