An example of application of the Nielsen theory to integro-differential equations

Andres, Jan; Fürst, Tomáš

doi:10.1090/S0002-9939-05-08213-4

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.

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