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An example of application of the Nielsen theory to integro-differential equations
Author(s):
Jan
Andres;
Tomás
Fürst
Journal:
Proc. Amer. Math. Soc.
134
(2006),
1985-1993.
MSC (2000):
Primary 34C25, 47H10, 54H25
Posted:
December 19, 2005
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Abstract:
A new nontrivial example of an application of the Nielsen fixed-point theory is presented, this time, to integro-differential equations. The emphasis is on the parameter space so that no subdomain becomes invariant under the related solution (Hammerstein) operator. Thus, at least three (harmonic) periodic solutions are established to a planar integro-differential system.
References:
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Additional Information:
Jan
Andres
Affiliation:
Department of Mathematical Analysis, Faculty of Science, Palacky University, Tomkova 40, 779 00 Olomouc-Hejcín, Czech Republic
Email:
andres@inf.upol.cz
Tomás
Fürst
Affiliation:
Department of Mathematical Analysis, Faculty of Science, Palacky University, Tomkova 40, 779 00 Olomouc-Hejcín, Czech Republic
Email:
tomas.furst@seznam.cz
DOI:
10.1090/S0002-9939-05-08213-4
PII:
S 0002-9939(05)08213-4
Keywords:
Nielsen number,
lower estimate of fixed points,
multiplicity results,
integro-differential equations,
nontrivial application.
Received by editor(s):
January 18, 2005
Received by editor(s) in revised form:
February 8, 2005
Posted:
December 19, 2005
Additional Notes:
This work was supported by the Council of Czech Government (MSM 6198959214).
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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