Periodic Solutions in Distribution of Stratonovich Stochastic Lattice Differential Equations With Markovian Switching and Jumps
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.
Authors
- Jiamin Xing (ORCID: https://orcid.org/0000-0003-3245-7198)
- Xiaomeng Jiang
- Xinping Zhou
Institutions
- Yantai University (CN)
- Northeast Normal University (CN)
- Jilin University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-08-08
- DOI
- https://doi.org/10.1002/mma.70031
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- People's Government of Jilin Province
- National Key Research and Development Program of China