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Unformatted text preview: 38 1 Solutions 8. The corresponding integral equation is We now have 9. The corresponding integral equation is We then have 10. The right hand side is
. Then
. Both and
are continuous in the whole
plane and thus are continuous on
any rectangle containing the origin
. Picard’s theorem applies and
we can conclude there is a unique solution on an interval about .
11. The right hand side is
. If
is any rectangle about
then there are coordinates that are negative. Hence is not deﬁned on
and Picards’ theorem does not apply. ...
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.
 Fall '08
 BELL,D

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