Stability of Set Differential Equations in Fréchet Spaces
نویسندگان
چکیده
In this paper, we investigate the stability of set differential equations in Fréchet space F . Some comparison principles and criteria are established for with fact that every id="M2"> is a projective limit Banach spaces.
منابع مشابه
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 Ei. The space Kc(F) of all compact, convex subsets of a Fréchet space, F, is realized as a projective limit of the semilinear metric spacesKc(E). Using the notion of Hukuhara derivative for maps with values inKc(F), we prove the local and global existence theorems for an initial value problem...
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The formulation of set differential equations has an intrinsic disadvantage that the diameter of the solution is nondecreasing as time increases and therefore the behavior of solutions, in some cases, do not match with the solutions of ordinary differential equations from which set differential equations can be generated. In this paper an approach is provided to remove the disadvantage.
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1 Kasner, "Algebraic Potential Curves," BuO. Am. Math. Soc., 1901. 2 Kasner, "Conformal Geometry," Proc. Fifth Internat. Cong. of Math., 2, 81 (1912). 3 Kasner, "Geometry of Conformal Symmetry (Schwarzian Reflection)," Ann. Math., 38, 873 (1937). 4 Comenetz, "Conformal Geometry on a Surface," Ibid., 39, 863 (1938). I wish to thank J. De Cicco, Aida Kailish, F. Supnik and C. Vlucay for assistanc...
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ژورنال
عنوان ژورنال: Advances in Mathematical Physics
سال: 2023
ISSN: ['1687-9139', '1687-9120']
DOI: https://doi.org/10.1155/2023/5134374