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Impulsive Fuzzy Dynamic Equations

In: Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales

Author

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  • Svetlin G. Georgiev

    (Sofia University St Kliment Ohridski, Faculty of Mathematics & Info)

Abstract

This chapter is devoted to a qualitative analysis for impulsive fuzzy dynamic equations. First, we deducted the solutions of linear first order impulsive dynamic equations. Then we investigated some problems for first order impulsive fuzzy dynamic equations for existence and uniqueness of the solutions, using the Krasnosel’skii fixed point theorem and Sadovskii fixed point theorem. In this chapter we give criteria as to when the trivial solution of first order impulsive fuzzy dynamic equations is stable.

Suggested Citation

  • Svetlin G. Georgiev, 2021. "Impulsive Fuzzy Dynamic Equations," Springer Books, in: Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales, chapter 0, pages 309-359, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-76132-5_5
    DOI: 10.1007/978-3-030-76132-5_5
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