Work

Asymptotic Stepanov automorphic properties of solutions to stochastic functional differential equations

Year: 2024

Type: article

Abstract: The primary objective of this study is to identify the criteria under which a unique μ -pseudo almost automorphic solution can exist for a stochastic functional differential equation with Stepanov forcing terms. To achieve this, spectral decomposition, Ito’s isometry property and semigroup theory are utilized. The Lipschitz condition and inequality techniques are then employed to establish the uniqueness of the μ -pseudo almost automorphic solution. The methodology is demonstrated through a representative example of a stochastic process.

Source: Boundary Value Problems

DOI: 10.1186/s13661-024-01974-9

Author: Zhonghua Wu

Institution: Macau University of Science and Technology

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,790

Funder: Fundo para o Desenvolvimento das Ciências e da Tecnologia