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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 1999 • Question 3

Question

Math 6410 • ODE Fall 1999 • Question 3

Use the above and a Gronwall inequality argument (note: \(\lvert f(t,x)\rvert \le \lvert f(t,x)-f(t,0)\rvert +\lvert f(t,0)\rvert \)) to show that solutions of (2.2) are defined on all of \(\mathbb {R}\).

Raw LaTeX

Use the above and a Gronwall inequality argument (note:
\(\lvert f(t,x)\rvert\le \lvert f(t,x)-f(t,0)\rvert+\lvert f(t,0)\rvert\)) to show that
solutions of (2.2) are defined on all of \(\R\).

Topic Tags

Distributions and Weak Solutions Entropy Solutions, Shocks, and Rarefactions Gronwall Inequality and Continuous Dependence Poincare Maps and Periodic Solutions