Positive periodic solutions of functional discrete systems with a parameter

• Autores: Youssef N. Raffoul, Ernest Yankson
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 21, Nº. 1, 2019, págs. 79-94
• Idioma: inglés
• DOI: 10.4067/S0719-06462019000100079
• Enlaces
  • Texto completo
• Resumen
  • español

    Resumen Estudiamos la existencia de soluciones periódicas múltiples del siguiente sistema de ecuaciones diferenciales con un parámetro x(n + 1) = A(n, x(n))x(n) + λf(n, xn), En particular, usamos los problemas de valores propios de operadores completamente continuos para obtener nuestros resultados. Aplicamos nuestros resultados a modelos de dinámica poblacional bien conocidos.

  • English

    Abstract The existence of multiple positive periodic solutions of the system of difference equations with a parameter x(n + 1) = A(n, x(n))x(n) + λf(n, xn), is studied. In particular, we use the eigenvalue problems of completely continuous operators to obtain our results. We apply our results to a well-known model in population dynamics.

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