Work

Periodic Solutions in Distribution of Stratonovich Stochastic Lattice Differential Equations With Markovian Switching and Jumps

Year: 2025

Type: article

Abstract: ABSTRACT In this paper, we study the Stratonovich stochastic lattice differential equations with the Markovian switching and jumps. The strong well‐posedness and weak uniqueness of solutions for such equations are shown under locally Lipschitz conditions. The comparison principle for solutions is established. Furthermore, the existence of periodic solutions in distribution is obtained by utilizing this result and the method of upper and lower solutions.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.70031

Authors: Xinping Zhou, Xiaomeng Jiang, Jiamin Xing

Institutions: Yantai University, Jilin University, Northeast Normal University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, People's Government of Jilin Province, National Key Research and Development Program of China