### Index of solution set for perturbed Fredholm equations and existence of periodic solutions for delay differential equations

DOI: http://dx.doi.org/10.12775/TMNA.2003.004

#### Abstract

We consider the index of the solution set

of Fredholm equations with $f$-condensing type perturbations. This

characteristic is applied to the existence of periodic solutions

for delay differential equations.

of Fredholm equations with $f$-condensing type perturbations. This

characteristic is applied to the existence of periodic solutions

for delay differential equations.

#### Keywords

Index of solution set; f-condensing map; measure of noncompactness; delay differential equation; periodic solution; existence theorem

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