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A note on periodic solutions of Riccati equations
Mokhtarzadeh, M. R ; Sharif University of Technology | 2010
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- Type of Document: Article
- DOI: 10.1007/s11071-010-9703-9
- Publisher: 2010
- Abstract:
- 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
- Keywords:
- 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
- Source: Nonlinear Dynamics ; Volume 62, Issue 1-2 , 2010 , Pages 119-125 ; 0924090X (ISSN)
- URL: http://link.springer.com/article/10.1007%2Fs11071-010-9703-9