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On Infinite Systems of Linear Differential Equations

Published online by Cambridge University Press:  20 November 2018

J. P. McClure  and
R. Wong
J. P. McClure
Affiliation:
University of Manitoba, Winnipeg, Manitoba
R. Wong
Affiliation:
University of Manitoba, Winnipeg, Manitoba
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Let A = [αtj] (i,j = 1, 2, …) be an infinite matrix with complex entries, and let z = (ζj) (j = 1, 2, …) be a sequence of complex numbers. In this paper we wish to investigate the existence, uniqueness and asymptotic behavior of solutions to the infinite system of linear differential equations

with the initial conditions

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 3 , 01 June 1975 , pp. 691 - 703
Copyright
Copyright © Canadian Mathematical Society 1975

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