Strong Embeddability of Time-Invariant Nonlinear Differential Systems in Linear Differential Systems

2019 ◽  
Vol 55 (3) ◽  
pp. 303-312
Author(s):  
V. T. Borukhov
Keyword(s):  
Differential Systems ◽  
Linear Differential Systems ◽  
Linear Differential ◽  
Strong Embeddability ◽  
Time Invariant ◽  
Nonlinear Differential Systems

scholarly journals Crossing Periodic Orbits via First Integrals

2020 ◽  
Vol 30 (11) ◽  
pp. 2050163
Author(s):  
Jaume Llibre ◽  
Durval José Tonon ◽  
Mariana Queiroz Velter
Keyword(s):  
Periodic Orbits ◽  
First Integrals ◽  
The Other ◽  
Differential Systems ◽  
Linear Differential Systems ◽  
Families Of Periodic Orbits ◽  
Linear Differential ◽  
Nonlinear Differential Systems

We characterize the families of periodic orbits of two discontinuous piecewise differential systems in [Formula: see text] separated by a plane using their first integrals. One of these discontinuous piecewise differential systems is formed by linear differential systems, and the other by nonlinear differential systems.

scholarly journals (ω, c)- Pseudo almost periodic distributions

2020 ◽  
Vol 7 (1) ◽  
pp. 237-248 ◽  
Author(s):  
Mohammed Taha Khalladi ◽  
Abdelkader Rahmani
Keyword(s):  
Almost Periodicity ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Differential Systems ◽  
Schwartz Distributions ◽  
Pseudo Almost Periodic Solutions ◽  
Linear Differential Systems ◽  
Linear Differential ◽  
Pseudo Almost Periodicity ◽  
Pseudo Almost Periodic

AbstractThe paper is a study of the (w, c) −pseudo almost periodicity in the setting of Sobolev-Schwartz distributions. We introduce the space of (w, c) −pseudo almost periodic distributions and give their principal properties. Some results about the existence of distributional (w, c) −pseudo almost periodic solutions of linear differential systems are proposed.

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