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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 1997 • Question 4

Question

Math 6410 • ODE Fall 1997 • Question 4

Suppose \(f(t,x)=Ax\) where \(A\) is a constant matrix. State the precise conditions on \(A\) under which \(z(t)\) is uniformly Liapunov stable in equation (2).

Raw LaTeX

Suppose \(f(t,x)=Ax\) where \(A\) is a constant matrix. State the precise
conditions on \(A\) under which \(z(t)\) is uniformly Liapunov stable in equation (2).

Topic Tags

Variation of Constants Formula