Pseudo almost automorphic solutions to delayed McKean-Vlasov integro-differential equations with Lévy noise and its optimal control
Abstract
This work focuses on pseudo almost automorphic solution and its optimal control to delayed McKean-Vlasov integro-differential equations with Lévy noise. Under the condition that the coefficients satisfy the non-global Lipschitz condition, this paper establishes the existence of pseudo almost automorphic solutions for the McKean-Vlasov equation. Further, the existence of optimal pairs of the delay McKean-Vlasov equations is obtained. An example is provided to illustrate our results finally.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Stochastic processes and financial applications
Fuzzy Systems and Optimization
Publication details
- Journal / source
- Discrete and Continuous Dynamical Systems - S
- Volume
- 31
- Issue
- 0
- Pages
- 132–163
- Publication date
- 28 February 2026
- Language
- EN