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Erschienen in:
2021 | OriginalPaper | Buchkapitel
3. Second Order Fuzzy Dynamic Equations
verfasst von : Svetlin G. Georgiev
Erschienen in: Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales
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Abstract
This chapter is devoted on a qualitative analysis of second order fuzzy dynamic equations. Firstly, the α-levels of the solutions of linear second order fuzzy dynamic equations are investigated. Then, it is introduced a class of BVPs for linear second order fuzzy dynamic equations and for it is given the corresponding Green function. In the chapter, it is investigated the Cauchy problem for a class of second order fuzzy dynamic equations for existence and uniqueness of the solutions and for the continuous dependence of the solutions on the initial data. For this aim, it is defined a suitable Banach space.