Author： Cid José Ángel Pouso Rodrigo López
Publisher： Mathematical Association of America
ISSN： 1930-0972
Source： American Mathematical Monthly, Vol.116, Iss.1, 2009-01, pp. : 61-66
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Abstract
Most uniqueness tests for differential equations need assumptions about how the nonlinear part depends on the unknown. A paradigm for this is the classical Lipschitz Theorem. We show that the theorem on differentiation of inverse functions yields, in a significant situation, an elementary technique for turning such uniqueness results into alternative versions of them with assumptions transferred from the dependent to the independent variable.
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