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Asymptotics of regularized solutions of a linear nonautonomous system of advanced differential equations

โœ Scribed by Yu. F. Dolgii; P. G. Surkov


Book ID
110158729
Publisher
Springer
Year
2010
Tongue
English
Weight
422 KB
Volume
46
Category
Article
ISSN
0012-2661

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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