Journal of Applied Analysis
Editor-in-Chief: Liczberski, Piotr / Ciesielski, Krzysztof
Managing Editor: Gajek, Leslaw
2 Issues per year
CiteScore 2016: 0.39
SCImago Journal Rank (SJR) 2016: 0.236
Source Normalized Impact per Paper (SNIP) 2016: 0.627
Mathematical Citation Quotient (MCQ) 2016: 0.14
Set Differential Equations in Fréchet Spaces
It is known that a Fréchet space 𝔽 can be realized as a projective limit of a sequence of Banach spaces . The space Kc (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 Kc (𝔽), we prove the local and global existence theorems for an initial value problem associated with a set differential equation.
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