scholarly journals On the periodic solutions of the Michelson continuous and discontinuous piecewise linear differential system

2016 ◽  
Vol 37 (2) ◽  
pp. 1550-1561
Author(s):  
Jaume Llibre ◽  
Regilene Oliveira ◽  
Camila Ap. B. Rodrigues
Keyword(s):  
Periodic Solutions ◽  
Differential System ◽  
Piecewise Linear ◽  
Linear Differential System ◽  
Piecewise Linear Differential System ◽  
Linear Differential

scholarly journals The Research of Periodic Solutions of Time-Varying Differential Models

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Wenjun Liu ◽  
Yingxin Pan ◽  
Zhengxin Zhou
Keyword(s):  
Periodic Solutions ◽  
Differential System ◽  
Riccati Equations ◽  
Linear Differential System ◽  
Time Varying ◽  
Linear Differential

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.

scholarly journals On a linear differential system of neutral type

1986 ◽  
Vol 40 (2) ◽  
pp. 226-233
Author(s):  
P. Ch. Tsamatos
Keyword(s):  
Fixed Points ◽  
Differential System ◽  
Finite Dimension ◽  
Neutral Type ◽  
Common Fixed Points ◽  
Linear Differential System ◽  
Linear Differential

AbstractThis paper is concerned with the neutral type differential system with derivating arguments. By decomposing the space of initial functions into classes, it is derived that, for each class, the space of corresponding solutions is of finite dimension. The case of common fixed points of the arguments is also studied.

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