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Unformatted text preview: equation with the initial conditions y 1 (0) = A,y 2 (0) = B . Is the solution of the Initial Value Problem unique? Part II 3. Let Ψ be a correspondence from X to Y which is compactvalued and upper hemicontinuous, C a compact subset of X . Let Ψ( C ) = ∪ x ∈ C Ψ( x ). Prove that Ψ( C ) is compact. ²or full credit, you must use the open set deFnitions of compactness and upper hemicontinuity; a correct proof using the sequential formulations of compactness and upper hemicontinuity will receive threefourths credit. 4. Prove that for all n ∈ N , n X k =1 k = n ( n + 1) 2 1...
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This note was uploaded on 08/01/2008 for the course ECON 204 taught by Professor Anderson during the Fall '08 term at University of California, Berkeley.
 Fall '08
 ANDERSON
 Economics

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