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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 1996 • Question 6

Question

Math 6410 • ODE Fall 1996 • Question 6

What can one say if the condition (2.4) is replaced by \[ x\cdot f(t,x)>0,\quad t\in \mathbb {R},\quad \lvert x\rvert =R. \tag {2.9} \]

Raw LaTeX

What can one say if the condition (2.4) is replaced by
\[
x\cdot f(t,x)>0,\quad t\in\R,\quad \lvert x\rvert=R.
\tag{2.9}
\]

Topic Tags

Topological Degree and Fixed Point Methods