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Existence results for semilinear perturbed functional differential equations of neutral type with infinite delay. (English) Zbl 1214.34065

Using the semigroup theory and a nonlinear alternative for the sum of a completely continuous and a contraction operator, the authors give sufficient conditions for the existence of solutions for perturbed semilinear neutral functional differential equations with infinite delay.

MSC:

34K30 Functional-differential equations in abstract spaces
34K40 Neutral functional-differential equations
47N20 Applications of operator theory to differential and integral equations
47D06 One-parameter semigroups and linear evolution equations
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