Title:
|
The generalized coincidence index --- application to a boundary value problem (English) |
Author:
|
Gabor, Dorota |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
36 |
Issue:
|
5 |
Year:
|
2000 |
Pages:
|
447-460 |
. |
Category:
|
math |
. |
MSC:
|
34B15 |
MSC:
|
34G20 |
MSC:
|
47H09 |
MSC:
|
47H11 |
MSC:
|
47J05 |
MSC:
|
55M25 |
idZBL:
|
Zbl 1090.34576 |
idMR:
|
MR1822813 |
. |
Date available:
|
2008-06-06T22:27:02Z |
Last updated:
|
2012-05-10 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107758 |
. |
Reference:
|
1. R. R. Akhmerov M. I. Kamenskii A. S. Potapov A. E. Rodkina B. N. Sadovskii: Measures of noncompactness and condensing operators.Birkhäuser Verlag, Basel-Boston-Berlin 1992. MR 1153247 |
Reference:
|
2. Yu. G. Borisovich B. D. Gelman A. D. Myshkis, V. V. Obukhovskii: Topological methods in the fixed point theory of multivalued mappings.Russian Math. Surveys 35 (1980), 65-143. MR 0565568 |
Reference:
|
3. D. Gabor W. Kryszewski: A coincidence Theory involving Fredholm operators of nonnegative index.Topol. Methods Nonlinear Anal. 15, 1 (2000), 43-59. MR 1786250 |
Reference:
|
4. D. Gabor: The coincidence index for fundamentally contractible multivalued maps with nonconvex values.to appear in Ann. Polon. Math. Zbl 0969.47041, MR 1821162 |
Reference:
|
5. D. Gabor: Coincidence points of Fredholm operators and noncompact set-valued maps.(in Polish), Ph.D. Thesis, N. Copernicus University, Toruń 2000. |
Reference:
|
6. K. Gęba I. Massabo A. Vignoli: Generalized topological degree and bifurcation.Proc. Conf. on Nonlinear Anal. Appl., Maratea Italy, 1986, D. Reidel Publ. Co., 55-73. MR 0852570 |
Reference:
|
7. S-T. Hu: Homotopy theory.Academic Press, New York 1959. Zbl 0088.38803, MR 0106454 |
Reference:
|
8. W. Kryszewski: Homotopy properties of set-valued mappings.Wyd. Uniwersytetu Mikolaja Kopernika, Toruń 1997. |
Reference:
|
9. J. Mawhin: Topological degree methods in nonlinear boundary value problems.Conf. Board Math. Sc. 40, Amer. Math. Soc., Providence, Rhode Island 1979. Zbl 0414.34025, MR 0525202 |
Reference:
|
10. T. Pruszko: Some applications of the topological degree theory to multi-valued boundary value problems.Dissertationes Math. 229, 1-52. Zbl 0543.34008 |
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