An example of application of the Nielsen theory to integro-differential equations
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- by Jan Andres and Tomáš Fürst PDF
- Proc. Amer. Math. Soc. 134 (2006), 1985-1993 Request permission
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, Palacký University, Tomkova 40, 779 00 Olomouc-Hejčín, Czech Republic
- MR Author ID: 222871
- Email: andres@inf.upol.cz
- Tomáš Fürst
- Affiliation: Department of Mathematical Analysis, Faculty of Science, Palacký University, Tomkova 40, 779 00 Olomouc-Hejčín, Czech Republic
- Email: tomas.furst@seznam.cz
- Received by editor(s): January 18, 2005
- Received by editor(s) in revised form: February 8, 2005
- Published electronically: December 19, 2005
- Additional Notes: This work was supported by the Council of Czech Government (MSM 6198959214).
- Communicated by: Carmen C. Chicone
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 1985-1993
- MSC (2000): Primary 34C25, 47H10, 54H25
- DOI: https://doi.org/10.1090/S0002-9939-05-08213-4
- MathSciNet review: 2215767