Nieto's theorem states that every fuzzy differential equation with bounded and continuous right-hand side admits a solution. In this paper we show that the provided proof of this result is not correct. (C) 2011 Elsevier B.V. All rights reserved.
机构:
Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
TU Kaiserslautern, Felix Klein Zentrum Math, D-67663 Kaiserslautern, GermanyHuazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
Kloeden, Peter E.
Lorenz, Thomas
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RheinMain Univ Appl Sci, Appl Math, D-65197 Wiesbaden, GermanyHuazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China