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We discuss the solvability of a fairly general class of systems of perturbedHammerstein integral equations with functional terms that depend on severalparameters. The nonlinearities and the functionals are allowed to depend on thecomponents of the system and their derivatives. The results are applicable tosystems of nonlocal second order ordinary differential equations subject tofunctional boundary conditions, this is illustrated in an example. Our approachis based on the classical fixed point index.

Nontrivial solutions of systems of perturbed Hammerstein integral equations with functional terms