| Title:
|
Destabilizing effect of unilateral conditions in reaction-diffusion systems (English) |
| Author:
|
Kučera, Milan |
| Author:
|
Neustupa, Jiří |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
27 |
| Issue:
|
1 |
| Year:
|
1986 |
| Pages:
|
171-187 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B30 |
| MSC:
|
35B35 |
| MSC:
|
35K50 |
| MSC:
|
35K57 |
| MSC:
|
35K60 |
| MSC:
|
35P30 |
| MSC:
|
58E07 |
| idZBL:
|
Zbl 0597.35006 |
| idMR:
|
MR843429 |
| . |
| Date available:
|
2008-06-05T21:24:20Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106438 |
| . |
| Reference:
|
[1] E. N. DANCER: On the structure of solutions of non-linear eigenvalue problems.Ind. Univ. Math. J. 23 (1974), 1069-1076. Zbl 0276.47051, MR 0348567 |
| Reference:
|
[2] G. DUVANT J.-L. LIONS: Les inéquations en méchanique et en physique.Dunod, Paris 1972. MR 0464857 |
| Reference:
|
[3] S. FUČÍK A. KUFNER: Nonlinear differencial equations.Elsevier, Scient. Publ. Comp., Amsterdam - Oxford - New York 1980. MR 0558764 |
| Reference:
|
[4] P. DRÁBEK M. KUČERA M. MÍKOVÁ: Bifurcation points of reaction-diffusion systems with unilateral conditions.Czechoslovak Math. J. 35 (1985), 639-660. MR 0809047 |
| Reference:
|
[5] P. DRÁBEK M. KUČERA: Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions.Czechoslovak Math. J. 36 (1986). MR 0822872 |
| Reference:
|
[6] P. DRÁBEK M. KUČERA: Reaction-diffusion systems: Destabilizing effect of unilateral conditions.To appear. MR 0969497 |
| Reference:
|
[7] M. KUČERA: A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory.Čas. pěst. mat. 104 (1979), 389-411. MR 0553173 |
| Reference:
|
[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 0654056 |
| Reference:
|
[9] M. KUČERA: Bifurcation points of inequalities of reactiondiffusion type.To appear. |
| Reference:
|
[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 0556853 |
| Reference:
|
[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. Zbl 0505.76103, MR 0661590 |
| . |
