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Erschienen in:
1999 | OriginalPaper | Buchkapitel
Generalized Derivatives of Nonlinear Functionals
verfasst von : A. V. Kim
Erschienen in: Functional Differential Equations
Verlag: Springer Netherlands
Enthalten in: Professional Book Archive
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In the present chapter we develop the theory of generalized derivatives of nonlinear functionals on D(R). 13 Though the generalized derivative is closely related to the invariant derivative, the material of this chapter is not directly connected with other chapters of the book. As the application of this new derivative, we consider an approach to solution of the multiplication problem of distribution theory and, also, the concept of generalized solutions of nonlinear functionals.