scholarly journals On Asymptotic Behaviour of Solutions to Linear Differential Systems with Variable Coefficients via Characteristic Numbers

2010 ◽  
Vol 53 (3) ◽  
pp. 359-379 ◽  
Author(s):  
Haruhisa Ishida ◽  
Hyung-Ju Lee
Keyword(s):  
Asymptotic Behaviour ◽  
Variable Coefficients ◽  
Differential Systems ◽  
Characteristic Numbers ◽  
Asymptotic Behaviour Of Solutions ◽  
Linear Differential Systems ◽  
Linear Differential

scholarly journals Invariant theory for linear differential systems modeled after the grassmannian Gr(n, 2n)

2003 ◽  
Vol 171 ◽  
pp. 163-186
Author(s):  
Takeshi Sasaki ◽  
Masaaki Yoshida
Keyword(s):  
Conformal Structure ◽  
Variable Coefficients ◽  
Special Treatment ◽  
Differential Systems ◽  
Zero Function ◽  
Linear Differential Systems ◽  
Rank 2 ◽  
Linear Differential ◽  
Coordinate Changes ◽  
Plücker Embedding

AbstractWe find invariants for the differential systems of rank 2n in n2 variables with n unknowns under the linear changes of the unknowns with variable coefficients. We look for a set of coefficients that determines the other coefficients, and give transformation rules under the linear changes above and coordinate changes. These can be considered as a generalization of the Schwarzian derivative, which is the invariant for second order ordinary differential equations under the change of the unknown by multiplying a non-zero function. Special treatment is done when n = 2: the conformal structure obtained through the Plücker embedding is studied, and a relation with line congruences is discussed.

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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