Tayeb Blouhi, Mohamed Ferhat

Coupled System of Second-Order Stochastic Differential Inclusions Driven by Lévy Noise

In this paper, we prove the existence of mild solutions for a second-order impulsive semilinear stochastic differential inclusion with an infinite-dimensional standard cylindrical Wiener process and Lévy noise. We consider the non convex-valued cases.

Mathematics Subject Classification: 34A37, 60H15, 60H20

Key words and phrases: Non-autonomous stochastic inclusions,second-order system, Poisson jumps, impulses, matrix convergent to zero, generalized Banach space, fixed point, set-valued analysis