Boundary Value Problems for First Order Impulsive Dynamic Inclusions

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

Chapter Chapter 9 in Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales, 2021, pp 551-660 from Springer

Abstract: Abstract This chapter is devoted to a qualitative analysis of some classes of second order impulsive dynamic inclusions. They are investigated for existence of solutions of some periodic BVPs for second order impulsive dynamic inclusions. Some criteria for the existence of lower solutions and upper solutions for some classes of BVPs for second order impulsive dynamic inclusions are given. Next, extremal solutions for BVPs for second order impulsive integro-dynamic inclusions are considered. In the chapter, some BVPs for second order dynamic inclusions for existence of multiple positive solutions are investigated.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-76132-5_9

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DOI: 10.1007/978-3-030-76132-5_9

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