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Suppose A E L(R") has a real eigenvalue \ < 0. Then the equation x' = = Ax

Suppose A E L(R") has a real eigenvalue \ < 0. Then the equation x' = = Ax

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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solve when n = 2

4. Suppose A € L(R") has a real eigenvalue < 0. Then the equation x' Ax
Transcribed Image Text:4. Suppose A € L(R") has a real eigenvalue < 0. Then the equation x' Ax
has at least one nontrivial solution x (t) such that lim x(t) 0. t→∞0
Transcribed Image Text:has at least one nontrivial solution x (t) such that lim x(t) 0. t→∞0
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