Some properties of solutions of a functional-differential equation of second order with delay.

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"T. Popoviciu" Institute of Numerical Analysis, Romanian Academy, P.O. Box. 68-1, 400110 Cluj-Napoca, Romania.

Published: October 2014

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.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3934606PMC
http://dx.doi.org/10.1155/2014/878395DOI Listing

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