Some Properties of Solutions of a Functional-Differential Equation of Second Order with Delay

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 wea...

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Detalles Bibliográficos
Autores principales: Ana Ilea, Veronica, Otrocol, Diana
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3934606/
https://www.ncbi.nlm.nih.gov/pubmed/24683363
http://dx.doi.org/10.1155/2014/878395
Descripción
Sumario: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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