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Proyecciones (Antofagasta)

Print version ISSN 0716-0917


TUNC, Cemil. Stability and boundedness in differential systems of third order with variable delay. Proyecciones (Antofagasta) [online]. 2016, vol.35, n.3, pp.317-338. ISSN 0716-0917.

In this paper, we consider a non-linear system of differential equations ofthird order with variable delay. We discuss the globally asymptotic stability/uniformly stability, boundedness and uniformly boundedness ofsolutionsfor the considered system. The technique ofproofs involves defining an appropriate Lyapunov functional. The obtained results include and improve the results in literature.

Keywords : Globally asymptotic stability; boundedness; Lyapunov functional; delay; differential system; third order.

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