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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 1997 • Question 1

Question

Math 6410 • ODE Fall 1997 • Question 1

Show that \(\dfrac {\partial \varphi }{\partial \xi }(t;\xi )\) exists for all \(t\ge 0\), \(\xi \in \mathbb {R}\).

Raw LaTeX

Show that \(\dfrac{\partial\varphi}{\partial\xi}(t;\xi)\) exists for all
\(t\ge0\), \(\xi\in\R\).

Topic Tags

Gronwall Inequality and Continuous Dependence