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A note on periodic solutions of matrix riccati differential equations

Goodarzi, Z ; Sharif University of Technology | 2021

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  1. Type of Document: Article
  2. Publisher: Tsing Hua University , 2021
  3. Abstract:
  4. In this note, we show that under certain assumptions the matrix Riccati differential equation X′ = A(t)X + XB(t)X + C(t) with periodic coeffi cients admits at least one periodic solution. Also, we give an illustrative example in order to indicate the validity of the assumptions and the novelty of our result. © 2021, Tsing Hua University. All rights reserved
  5. Keywords:
  6. Periodic solutions ; Matrix Riccati ; Differential equations ; Periodic coeffi cients ; Cients admits
  7. Source: Applied Mathematics E - Notes ; Volume 21 , 2021 , Pages 179-186 ; 16072510 (ISSN)
  8. URL: https://www.emis.de/journals/AMEN/2021/AMEN-200402.pdf