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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 1996 • Question 9

Question

Math 6410 • ODE Fall 1996 • Question 9

Use Gronwall’s inequality (or a similar argument) to establish the existence of a priori bounds on \(\lvert x(t)\rvert ^2\) for a solution \(x\) of (2.13).

Raw LaTeX

Use Gronwall's inequality (or a similar argument) to establish the existence of
a priori bounds on \(\lvert x(t)\rvert^2\) for a solution \(x\) of (2.13).

Topic Tags

Existence and Uniqueness Theorems Global Existence and Finite-Time Blow-Up Gronwall Inequality and Continuous Dependence Poincare Maps and Periodic Solutions