Random Almost Periodic Solutions of Random Dynamical Systems

Abstract

In this paper, we first give the definition of random almost periodic solutions of random dynamical systems and give some examples. Then, we prove the existence of such random almost periodic solutions. Further, we introduce the definition of random almost periodic measure. Finally, we discuss the relationship between random almost periodic solutions and almost periodic measures.

References in corpus (5)

• Random Periodic Solutions of Random Dynamical Systems
• Random Periodic Processes, Periodic Measures and Ergodicity
• Numerical Approximation of Random Periodic Solutions of Stochastic Differential Equations
• Almost Periodic Solutions and Stable Solutions for Stochastic Differential Equations
• Weak Random Periodic Solutions of Random Dynamical Systems

Cited by in corpus (1)

• Almost Periodic and Periodic Solutions of Differential Equations Driven by the Fractional Brownian Motion with Statistical Application