Abstract
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.
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© 1999 Springer Science+Business Media Dordrecht
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Kim, A.V. (1999). Generalized Derivatives of Nonlinear Functionals. In: Functional Differential Equations. Mathematics and Its Applications, vol 479. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1630-7_3
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DOI: https://doi.org/10.1007/978-94-017-1630-7_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5211-7
Online ISBN: 978-94-017-1630-7
eBook Packages: Springer Book Archive