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Some problems in irregular ordinary differential equations

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Figure

Figurx E i e 2.2: The maps t 1-7 X (t, x) plotted up to time t = for various initial data [0, 1)
Figure 2.3: Th maps t H Y1 (t,x) for various initial data x E [0, 1).
Figure 3.1: A plot of the vector field f. Clearly every trajectory of (ODE) intersects the line and as the line is invariant, solutions may remain on the line [or
Figure 5.2: A subset of points (r, (3) that are in printr (5) and a subset of points (r, (3) that are not in printr (5)
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