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P. Drábek, P. Krejčí, P. Takáč (1999)
Nonlinear differential equations
T. Bhaskar, V. Lakshmikantham, Devi Vasundhara (2005)
Theory of Set Differential Equations in Metric Spaces
Helmut Schaefer (1967)
Topological Vector SpacesAmerican Mathematical Monthly, 74
G. Galanis (1997)
ON A TYPE OF LINEAR DIFFERENTIAL EQUATIONS IN FRECHET SPACESAnnali Della Scuola Normale Superiore Di Pisa-classe Di Scienze, 24
(1967)
Integration of measurable maps with compact , convex set values , Funk - cial
H. Jarchow (1981)
Topological Vector Spaces
G. Galanis, T. Bhaskar, V. Lakshmikantham, P. Palamides (2005)
Set valued functions in Fréchet spaces: Continuity, Hukuhara differentiability and applications to set differential equationsNonlinear Analysis-theory Methods & Applications, 61
A. Tolstonogov (1983)
ON THE STRUCTURE OF THE SOLUTION SET FOR DIFFERENTIAL INCLUSIONS IN A BANACH SPACEMathematics of The Ussr-sbornik, 46
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 of Applied Analysis – de Gruyter
Published: Jun 1, 2008
Keywords: Set differential equations; Hukuhara derivative; projective limits; Fréchet spaces
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