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- W15983997 abstract "The aim of this chapter is to introduce the class of piecewise differentiable functions and to investigate the differential properties of these functions. In particular, we show that a piecewise differentiable function is a locally Lipschitz continuous B-differentiable function and provide a condition which ensures that a piecewise differentiable function is strongly B-differentiable. Finally, we introduce the notion of a (P{C}^{r})-homeomorphism and provide inverse and implicit function theorems for piecewise differentiable functions.KeywordsPiecewise Differentiable FunctionLocal Lipschitz ContinuityDegree Theoretic ApproachContinued SurvivalExact Calculus RulesThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W15983997 created "2016-06-24" @default.
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- W15983997 date "2012-01-01" @default.
- W15983997 modified "2023-10-17" @default.
- W15983997 title "Piecewise Differentiable Functions" @default.
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- W15983997 doi "https://doi.org/10.1007/978-1-4614-4340-7_4" @default.
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