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A note on periodic solutions of Riccati equations

Mokhtarzadeh, M. R ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1007/s11071-010-9703-9
  3. Publisher: 2010
  4. Abstract:
  5. In this note, we show that under certain assumptions the scalar Riccati differential equation x′=a(t)x+b(t)x 2+c(t) with periodic coefficients admits at least one periodic solution. Also, we give two illustrative examples in order to indicate the validity of the assumptions
  6. Keywords:
  7. Compact operator ; Periodic solution ; Scalar Riccati differential equation ; Compact operators ; Illustrative examples ; Periodic coefficients ; Banach space ; Riccati differential equation ; Schauder's fixed point theorem ; Banach spaces ; Linear algebra ; Mathematical operators ; Problem solving ; Topology ; Riccati equations
  8. Source: Nonlinear Dynamics ; Volume 62, Issue 1-2 , 2010 , Pages 119-125 ; 0924090X (ISSN)
  9. URL: http://link.springer.com/article/10.1007%2Fs11071-010-9703-9