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Asymptotic approximation of solutions of weakly linear differential systems

✍ Scribed by A. Krylov


Publisher
Springer
Year
1986
Tongue
English
Weight
633 KB
Volume
25
Category
Article
ISSN
0363-1672

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Asymptotic behavior of solutions of asym
✍ W.F. Trench πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 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