On Non-Homogeneous Linear Differential Equations of Infinite Order With Constant Coefficients

1936 ◽  
Vol 58 (3) ◽  
pp. 473 ◽  
Author(s):  
R. D. Carmichael
Keyword(s):  
Differential Equations ◽  
Infinite Order ◽  
Linear Differential Equations ◽  
Constant Coefficients ◽  
Linear Differential ◽  
Homogeneous Linear

The approach to scalar growth of a vector transformed by an increasing power of a matrix

1956 ◽  
Vol 52 (2) ◽  
pp. 213-214
Author(s):  
S. N. Afriat ◽  
H. G. Eggleston
Keyword(s):  
Differential Equations ◽  
Linear Differential Equations ◽  
Constant Coefficients ◽  
Linear Differential ◽  
Image Position ◽  
Derivatives Of ◽  
Homogeneous Linear

The solution of a system of simultaneous homogeneous linear differential equations with constant coefficients has been obtained (1) in the formwhere the elements of the vector Z are the k functions determined by the system and their derivatives of order up to m – 1, where m is the order of the system. If Zn is the value of Z at t = n, then

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