Instability to vector lienard equation with multiple delays

• 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. 17, Nº. 1, 2015, págs. 1-9
• Idioma: inglés
• DOI: 10.4067/S0719-06462015000100001
• Enlaces
  • Texto completo
• Resumen
  • español

    Usando un funcional especial de Lyapunov-Krasovskii y aplicando propiedades de Krasovskii, probamos la inestabilidad de la solución nula de una ecuación de Liénard vectorial modificada con retardos constantes múltiples que incluyen a las ecuaciones de Van der Pol, Rayleigh y Liénard ampliamente encontradas en las aplicaciones.

  • English

    By making use of a special Lyapunov-Krasovskii functional and applying Krasovskii’s properties, we prove instability of zero solution of a modified vector Lienard equation with multiple constant delays that includes Van der Pol, Rayleigh and Lienard equations, widely encountered in applications.

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