Funding for this research was provided by:
National Natural Science Foundation of China (12171484)
National Natural Science Foundation of China (12571140)
Natural Science Foundation of Hunan Province (2023JJ20056)
Science and Technology Program of Hunan Province (2023RC3028)
Central South University Innovation-Driven Research Programme (2023CXQD032)
Hunan Basic Science Research Center for Mathematical Analysis (2024JC2002)
Article History
Received: 22 October 2025
Accepted: 6 March 2026
First Online: 19 March 2026