A note on the example of J. Andres concerning the application of the Nielsen fixed-point theory to differential systems
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2001)
- Volume: 40, Issue: 1, page 55-62
- ISSN: 0231-9721
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topGamba, Ivo. "A note on the example of J. Andres concerning the application of the Nielsen fixed-point theory to differential systems." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 40.1 (2001): 55-62. <http://eudml.org/doc/23719>.
@article{Gamba2001,
author = {Gamba, Ivo},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Nielsen number; existence of two bounded solutions; nontrivial example},
language = {eng},
number = {1},
pages = {55-62},
publisher = {Palacký University Olomouc},
title = {A note on the example of J. Andres concerning the application of the Nielsen fixed-point theory to differential systems},
url = {http://eudml.org/doc/23719},
volume = {40},
year = {2001},
}
TY - JOUR
AU - Gamba, Ivo
TI - A note on the example of J. Andres concerning the application of the Nielsen fixed-point theory to differential systems
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2001
PB - Palacký University Olomouc
VL - 40
IS - 1
SP - 55
EP - 62
LA - eng
KW - Nielsen number; existence of two bounded solutions; nontrivial example
UR - http://eudml.org/doc/23719
ER -
References
top- Andres J., A nontrivial example of application of the Nielsen fixed-point theory to differential systems: problem of Jean Leray, Proceed. Amer. Math. Soc. 128, 10 (2000), 2921-2931. Zbl0964.34030MR1664285
- Andres J., Multiple bounded solutions of differential inclusions: the Nielsen theory approach, J. Diff. Eqs. 155 (1999), 285-320. (1999) Zbl0940.34008MR1698556
- Andres J., Górniewicz L., From the Schauder fixed-point theorem to the applied multivalued Nielsen Theory, Topol. Meth. Nonlin. Anal. 14, 2 (1999), 228-238. (1999) Zbl0958.34015MR1766189
- Andres J., Górniewicz L., Jezierski J., A generalized Nielsen number and multiplicity results for differential inclusion, Topol. Appl. 100 (2000), 143-209. MR1733044
- Borsuk K., Theory of Retracts, PWN, Warsaw, 1967. (1967) Zbl0153.52905MR0216473
- Brown R. F., On the Nielsen fixed point theorem for compact maps, Duke. Math. J., 1968, 699-708. (1968) MR0250290
- Brown R. F., Topological identification of multiple solutions to parametrized nonlinear equations, Pacific J. Math. 131 (1988), 51-69. (1988) Zbl0615.47042MR0917865
- Brown R. F., Nielsen fixed point theory and parametrized differential equations, In: Contemp. Math. 72, AMS, Providence, RI, 1989, 33-46. (1989) MR0956478
- Cecchi M., Furi M., Marini M., About the solvability of ordinary differential equations with assymptotic boundary conditions, Boll. U. M. I., Ser. IV, 4-C, 1 (1985), 329-345. (1985) MR0805224
- Fečkan M., Multiple solution of nonlinear equations via Nielsen fixed-point theory: a survey, In: Nonlinear Anal. in Geometry and Topology (Th. M. Rassias, ed.), Hadronic Press, Inc., Fl., (2000), 77-97. MR1766782
- Granas A., The Leray-Schauder index and the fixed point theory for arbitrary ANRs, Bull. Soc. Math. France 100 (1972), 209-228. (1972) Zbl0236.55004MR0309102
- Krasnosel’skij M. A., The Operator of Translation along Trajectories of Differential Equations, Nauka, Moscow, 1966 (in Russian). (1966)
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