On second-order perturbed evolution equations with infinite state-dependent delay
Applicationes Mathematicae
MSC: Primary 34G20; Secondary 47H20, 74H20, 34K26, 37L05
DOI: 10.4064/am2500-2-2025
Published online: 9 April 2025
Abstract
We study the existence of mild solutions on a semi-infinite interval of second-order perturbed evolution equations with infinite state-dependent delay. We use Avramescu’s nonlinear alternative for sums of compact operators and contraction maps in Fréchet spaces, combined with semigroup theory.
