title: Some properties of solutions of a functional-differential equation of second order with delay.
abstract: Existence, uniqueness, data dependence (monotony, continuity, and differentiability with respect to parameter), and Ulam-Hyers stability results for the solutions of a system of functional-differential equations with delays are proved. The techniques used are Perov's fixed point theorem and weakly Picard operator theory.
authors.affiliation: Babeş-Bolyai University, Kogălniceanu no. 1, RO-400084 Cluj-Napoca, Romania.
authors.forename: Veronica Ana
authors.initials: VA
authors.lastname: Ilea
authors.affiliation: "T. Popoviciu" Institute of Numerical Analysis, Romanian Academy, P.O. Box. 68-1, 400110 Cluj-Napoca, Romania.
authors.forename: Diana
authors.identifier: 0000-0001-5926-7760
authors.initials: D
authors.lastname: Otrocol
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical