# 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

V.A. Ilea
(Babes Bolyai Univ)

D. Otrocol
(Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)

## Keywords

System of functional-differential equations, delay, existence, uniqueness, data dependence, Ulam-Hyers stability, weakly Picard operator technique

## Cite this paper as:

V. A. Ilea, D. Otrocol, Some properties of solutions of a functional-differential equation of second order with delay, Hindawi Publishing Corporation, Sci. World J., Vol. 2014 (2014), Article ID 878395, 8 pages, doi: 10.1155/2014/878395

## PDF

##### Journal

Scientific world Journal

##### Publisher Name

Hindawi Publishing Corporation, New York, USA

1537-744X