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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 1996 • Question 5

Question

Math 6410 • ODE Fall 1996 • Question 5

Show that for each \(T\ge 0\) there exists \(y_T\), \(\lvert y_T\rvert \le R\) such that \[ F_T(y_T)=y_T. \tag {2.8} \]

Raw LaTeX

Show that for each \(T\ge0\) there exists \(y_T\), \(\lvert y_T\rvert\le R\) such that
\[
F_T(y_T)=y_T.
\tag{2.8}
\]

Topic Tags

Topological Degree and Fixed Point Methods