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Addendum: On the Asymptotic Solution of a System of Linear Differential Equations with Small Random Coefficients

โœ Scribed by Matveev, R. F.


Book ID
118219636
Publisher
Society for Industrial and Applied Mathematics
Year
1965
Tongue
English
Weight
42 KB
Volume
10
Category
Article
ISSN
0040-585X

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Asymptotic behavior of solutions of asym
โœ W.F. Trench ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 260 KB

Sufficient conditions are given for the n x n system y' = (A + P(t)) y to have a solution ~r such that ~r(t) = e ~t (v+o(1)) as t --\* c~, where A is an eigenvalue of the constant matrix A and v is an associated eigenvector. The integrability conditions on P allow conditional convergence and the o(1