First Order Fuzzy Dynamic Equations

Svetlin G. Georgiev
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Svetlin G. Georgiev: Sofia University St Kliment Ohridski, Faculty of Mathematics & Info

Chapter Chapter 2 in Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales, 2021, pp 137-203 from Springer

Abstract: Abstract This chapter is devoted to a qualitative analysis of first order fuzzy dynamic equations. First, we deducted formulae for the solutions of linear first order fuzzy dynamic equations and then investigated the Cauchy problem for first order fuzzy dynamic equations for existence and uniqueness. For this aim we introduced Lipschitz fuzzy functions and determined some of their properties. In this chapter we investigated the solutions of first order fuzzy dynamic equations for continuous dependence on the initial data. Some criteria as to when the trivial solution of first order fuzzy dynamic equations is equi-stable, uniformly stable, uniformly asymptotically stable, equi-asymptotically stable, exponentially stable, uniformly exponentially stable, and uniformly asymptotically stable are discussed.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-76132-5_2

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DOI: 10.1007/978-3-030-76132-5_2

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