Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Set Differential Equations in Fréchet Spaces

Set Differential Equations in Fréchet Spaces Abstract It is known that a Fréchet space 𝔽 can be realized as a projective limit of a sequence of Banach spaces . The space K c (𝔽) of all compact, convex subsets of a Fréchet space, 𝔽, is realized as a projective limit of the semilinear metric spaces . Using the notion of Hukuhara derivative for maps with values in K c (𝔽), we prove the local and global existence theorems for an initial value problem associated with a set differential equation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Analysis de Gruyter

Set Differential Equations in Fréchet Spaces

Loading next page...
 
/lp/de-gruyter/set-differential-equations-in-fr-chet-spaces-XRNL04LIst

References (8)

Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1425-6908
eISSN
1869-6082
DOI
10.1515/JAA.2008.103
Publisher site
See Article on Publisher Site

Abstract

Abstract It is known that a Fréchet space 𝔽 can be realized as a projective limit of a sequence of Banach spaces . The space K c (𝔽) of all compact, convex subsets of a Fréchet space, 𝔽, is realized as a projective limit of the semilinear metric spaces . Using the notion of Hukuhara derivative for maps with values in K c (𝔽), we prove the local and global existence theorems for an initial value problem associated with a set differential equation.

Journal

Journal of Applied Analysisde Gruyter

Published: Jun 1, 2008

Keywords: Set differential equations; Hukuhara derivative; projective limits; Fréchet spaces

There are no references for this article.