Stability and boundedness in differential systems of third order with variable delay

  • Cemil Tunc Yüzüncü Yil University.
Palabras clave: Globally asymptotic stability, boundedness, Lyapunov functional, delay, differential system, third order, estabilidad globalmente asintótica, acotamiento, funcional de Lyapunov, retardo, sistema diferencial, tercer orden.

Resumen

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.

Biografía del autor/a

Cemil Tunc, Yüzüncü Yil University.
Department of Mathematics,  Faculty of Science.

Citas

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Publicado
2017-03-23
Cómo citar
Tunc, C. (2017). Stability and boundedness in differential systems of third order with variable delay. Proyecciones. Journal of Mathematics, 35(3), 317-338. https://doi.org/10.4067/S0716-09172016000300008
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