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Multivalued Maps and Multivalued Differential Equations

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Multivalued Maps and Multivalued Differential Equations

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Title: Multivalued Maps and Multivalued Differential Equations
Author: Deimling, K.
Abstract: Everybody meets multivalued maps very early in his mathematical education, as inverses of maps which are not one-to-one, but in elementary lectures the multivalued aspect is usually suppressed by means of elementary tricks or restrictions which make sense for practical purposes; think of [see pdf for notation] which has the inverse[see pdf for notation], from [see pdf for notation] (the subsets of R); or think of a linear operator [see pdf for notation] with kernel [see pdf for notation]; in which case one uses the trick to consider [see pdf for notation], defined by [see pdf for notation] which is one-to-one and therefore has a singlevalued inverse [see pdf for notation].
URI: http://hdl.handle.net/10106/2379
Date: 1985-04

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