A Billet on Multi-pantograph Ordinary Differential Equations With Constant Deviating Arguments: Issues on the Role of Lévy Noise in the Almost Sure Exponential Stochastic-self Stabilization
Year: 2025
Type: article
Abstract: This letter considers the role played by Lévy noise in the almost sure exponential stochastic self- stabilization of solution to a multi-pantograph delay differential equation (MPDDE). The equation is nonlinear and contains multi-pantograph terms as well as several constant time lags and as such, the solution is generally unstable. The system is perturbed by random noise disturbance of Lévy -type. It is established that under certain conditions, the presence of Lévy noise would stochastically self-stabilize the resulting stochastic multi-pantograph differential equation in an almost sure exponential sense, whereas the comparable deterministic multi- pantograph delay differential equation, in which Lévy noise is absent, still remains unstable.
DOI: 10.61448/njse2322518
Authors: F.C. Nwoye, E.O. Atonuje, A.O. Atonuje
Institution: Delta State University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4414006129