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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 1993 • Question 3

Question

Math 6410 • ODE Fall 1993 • Question 3

Let \(\overline {X}(t)\) be a matrix solution of (2) with \(\det \overline {X}(t_0)\ne 0\), some \(t_0\). Characterize all other matrix solutions of (2) and provide a characterization of all solutions of (2).

Raw LaTeX

Let \(\overline{X}(t)\) be a matrix solution of (2) with
\(\det\overline{X}(t_0)\ne0\), some \(t_0\). Characterize all other matrix solutions of
(2) and provide a characterization of all solutions of (2).

Topic Tags

Distributions and Weak Solutions Entropy Solutions, Shocks, and Rarefactions Fundamental Solutions Poincare Maps and Periodic Solutions