H-stability in pth moment of neutral pantograph stochastic differential equations with Markovian switching driven by Lévy noise. (October 2021)

• Record Type: Journal Article
• Authors: Caraballo, Tomás; Belfeki, Mohsen; Mchiri, Lassaad; Rhaima, Mohamed
• Is Part Of: Chaos, solitons and fractals. Volume 151(2021)
• Publication Date: 2021-10
• Subjects: Neutral pantograph stochastic differential equations with Markovian switching -- Lévy noise -- h-stability -- pth moment; 60H10 -- 34K20 -- 34K50; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2021.111249
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: In this paper we investigate the h -stability in p th moment of neutral pantograph stochastic differential equations with Markovian switching driven by Lévy noise. The main tool used to prove the results is the Lyapunov method. We analyze two illustrative examples to show the interest and usefulness of the main results.