Existence of ψ-bounded solutions for linear matrix difference equations on z+

• G. Suresh Kumar ^[1] ; Ch Vasavi ^[1] ; T.S Rao ^[1] ; M.S.N Murty ^[2]
  1. [1] Koneru Lakshmaiah University Department of Mathematics
  2. [2] Acharya Nagarjuna University Department of Mathematics
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 16, Nº. 1, 2014, págs. 37-48
• Idioma: inglés
• DOI: 10.4067/S0719-06462014000100004
• Enlaces
  • Texto completo
• Resumen
  • español

    Este artículo se enfoca en obtener condiciones necesarias y suficientes para la existencia de la menos una solución Ψ-acotada para la ecuación lineal en diferencias matricial X (n + 1) = A (n) X (n) B (n) + F (n), donde F (n) es una función Ψ-sumable con valores matriciales en Z+.Finalmente, probamos un resultado relacionado al comportamiento asintótico de las soluciones Ψ-acotadas de esta ecuación en Z+.

  • English

    This paper deals with obtaining necessary and sufficient conditions for the existence of at least one -bounded solution for the linear matrix difference equation X (n + 1) = A (n) X (n) B (n) + F (n), where F (n) is a Ψ-summable matrix valued function on Z+.Finally, we prove a result relating to the asymptotic behavior of the Ψ-bounded solutions of this equation on Z+.

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