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On the asymptotic integration of systems of linear differential equations with oscillatory decreasing coefficients

โœ Scribed by V. Sh. Burd; V. A. Karakulin


Publisher
SP MAIK Nauka/Interperiodica
Year
1998
Tongue
English
Weight
403 KB
Volume
64
Category
Article
ISSN
0001-4346

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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