State-equations corresponding to a time-varying linear differential system

1967 ◽  
Vol 55 (6) ◽  
pp. 1123-1123 ◽  
Author(s):  
F.M. Brown
2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Wenjun Liu ◽  
Yingxin Pan ◽  
Zhengxin Zhou

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.


Author(s):  
P. Ch. Tsamatos

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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