Asymptotic behavior of solutions of asymptotically constant coefficient systems of linear differential equations

✍ Scribed by W.F. Trench

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 260 KB
• Volume: 30
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/0898-1221(95)00178-2

✦ Synopsis

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) terms are specified precisely.