<p>This paper presents both a periodic and an asymptotic periodic solution for coupled Sylvester matrix Volterra integro-dynamic systems on time scales. The vectorization operator first changes the Sylvester matrix into the Kronecker product of the system. We then used Schauder’s fixed point theorem to determine a periodic existence solution for the system. Finally, we got solutions that were periodic and asymptotically periodic. Our system’s analysis brings together discrete and continuous dynamic systems.</p>

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Asymptotic periodicity in nonlinear coupled matrix Sylvester Volterra systems integro-dynamic system on arbitrary time domains

  • Chintamaneni Harisha,
  • Bhogapurapu Venkata Appa Rao,
  • Ayyalappagari Sreenivasulu,
  • Ahmad Aloqaily,
  • Maryam G. Alshehri,
  • Nabil Mlaiki

摘要

This paper presents both a periodic and an asymptotic periodic solution for coupled Sylvester matrix Volterra integro-dynamic systems on time scales. The vectorization operator first changes the Sylvester matrix into the Kronecker product of the system. We then used Schauder’s fixed point theorem to determine a periodic existence solution for the system. Finally, we got solutions that were periodic and asymptotically periodic. Our system’s analysis brings together discrete and continuous dynamic systems.