| Title:
|
Multiple perturbed solutions near nondegenerate manifolds of solutions (English) |
| Author:
|
Fečkan, Michal |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
4 |
| Year:
|
1993 |
| Pages:
|
635-643 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The existence of multiple solutions for perturbed equations is shown near a manifold of solutions of an unperturbed equation via the Nielsen fixed point theory. (English) |
| Keyword:
|
Nielsen fixed point theory |
| Keyword:
|
perturbations |
| Keyword:
|
nondegenerate manifolds |
| MSC:
|
34B15 |
| MSC:
|
34C25 |
| MSC:
|
58C30 |
| MSC:
|
58D25 |
| MSC:
|
58E07 |
| idZBL:
|
Zbl 0795.58006 |
| idMR:
|
MR1263793 |
| . |
| Date available:
|
2009-01-08T18:06:56Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118621 |
| . |
| Reference:
|
[1] Fečkan M.: Nielsen fixed point theory and nonlinear equations.to appear in Journal Differential Equations. |
| Reference:
|
[2] Mawhin J., Willem M.: Critical Point Theory and Hamiltonian Systems.in Appl. Math. Sci., Vol. 74 (1989). Zbl 0676.58017, MR 0982267 |
| Reference:
|
[3] Brown R.F.: Topological identification of multiple solutions to parametrized nonlinear equations.Pacific J. Math. 131 (1988), 51-69. Zbl 0615.47042, MR 0917865 |
| Reference:
|
[4] Golubitsky M., Guillemin V.: Stable Mappings and their Singularities.Springer-Verlag New York (1973). Zbl 0294.58004, MR 0341518 |
| Reference:
|
[5] Jiang B.: Lectures on Nielsen Fixed Point Theory.in Contemporary Math., Vol 14 (1983). Zbl 0512.55003, MR 0685755 |
| Reference:
|
[6] Dancer E.N.: The G-invariant implicit function theorem in infinite dimensions II.Proc. Royal Soc. Edinburgh 102 A, (1986), 211-220. Zbl 0601.58013, MR 0852355 |
| Reference:
|
[7] Ambrosetti A., Bessi U.: Multiple closed orbits for perturbed Keplerian problems.Journal Differential Equations 96 (1992), 283-94. Zbl 0759.34033, MR 1156662 |
| Reference:
|
[8] Guckenheimer J., Holmes P.: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields.Springer-Verlag New York (1983). Zbl 0515.34001, MR 0709768 |
| Reference:
|
[9] Fečkan M.: Problems with nonlinear boundary value conditions.Comment. Math. Univ. Carolinae 33 (1992), 597-604. MR 1240180 |
| Reference:
|
[10] Hirsch M.W.: Differential Topology.Springer-Verlag New York (1976). Zbl 0356.57001, MR 0448362 |
| . |
