International Journal of Differential Equations (Jan 2014)

The Research of Periodic Solutions of Time-Varying Differential Models

  • Wenjun Liu,
  • Yingxin Pan,
  • Zhengxin Zhou

DOI
https://doi.org/10.1155/2014/430951
Journal volume & issue
Vol. 2014

Abstract

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We have studied the periodicity of solutions of some nonlinear time-varying differential models by using the theory of reflecting functions. We have established a new relationship between the linear differential system and the Riccati equations and applied the obtained results to discuss the behavior of periodic solutions of the Riccati equations.