Work

Dynamic Behavior of Pseudo Almost Periodic Functions to Stochastic Differential Equations

Year: 2025

Type: article

Abstract: The main aim of this study is to create appropriate criteria for the existence of a unique μ-pseudo almost periodic solution to a particular type of stochastic differential equation, utilizing Bochner’s double sequences criterion, improved Gronwall’s lemma, Hölder’s inequality, and measure theory techniques. By applying the inequalities analysis condition and the fixed point theorem for contraction mapping, we can establish the existence of a single μ-pseudo almost periodic solution in distribution to the given stochastic equation. Finally, we use an example to demonstrate our stochastic processes.

Source: Symmetry

DOI: 10.3390/sym17101605

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: $2,896

Funder: Fundo para o Desenvolvimento das Ciências e da Tecnologia