In this paper we consider two di erent classes of nonlinear impulsive systems one driven purely by Dirac measures at a ΓΏxed set of points and the second driven by signed measures. The later class is easily extended to systems driven by general vector measures. The principal nonlinear operator is mon
β¦ LIBER β¦
Nonlinear Transformations of Smooth Measures on Infinite-Dimensional Spaces
β Scribed by A. M. Kulik; A. Yu. Pilipenko
- Book ID
- 110290818
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 308 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0041-5995
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The aim of this paper is to show that there exist infinite dimensional Banach spaces of functions that, except for 0, satisfy properties that apparently should be destroyed by the linear combination of two of them. Three of these spaces are: a Banach space of differentiable functions on R n failing