On the uniform asymptotic stability to certain first order neutral differential equations

• Cemil Tunc ^[1]
  1. [1] Yüzüncü Yıl University Faculty of Science Department of Mathematics
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 16, Nº. 2, 2014, págs. 111-120
• Idioma: inglés
• DOI: 10.4067/S0719-06462014000200006
• Enlaces
  • Texto completo
• Resumen
  • español

    En este artículo se discute la estabilidad asintótica uniforme de la solución cero de un tipo de ecuaciones diferenciales neutrales. Basados en la técnica de funcional de Lyapunov, se deriva un nuevo criterio de estabilidad, el cual es dependiente de atrasos basados en dos constantes positivas. El resultado que se obtiene extiende y generaliza los encontrados en la literatura.

  • English

    In this paper, the uniform asymptotic stability of the zero solution of a kind of neutral differential equations is discussed. Based on the Lyapunov functional approach, a new stability criterion is derived, which is delay dependent on two positive constants. The result to be obtained here extends and generalizes the existing ones in the literature.

• Referencias bibliográficas
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