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Authors
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Funding
Funding for this research was provided by:
National Natural Science Foundation of China (12261070)
National Natural Science Foundation of China (12262033)
Natural Science Foundation of Ningxia Province (2024AAC03300)
Natural Science Foundation of Ningxia Province (2024AAC03320)
the Ningxia Basic Science Research Center of Mathematics (2025NXSXZX0107)
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Article History
Received: 7 April 2025
Revised: 27 May 2025
Accepted: 3 July 2025
First Online: 30 July 2025
Declarations
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: The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
