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Then some special cases are analyzed and some concrete and verifiable conditions are given.<\/jats:p>","DOI":"10.1017\/jpr.2025.17","type":"journal-article","created":{"date-parts":[[2025,6,16]],"date-time":"2025-06-16T05:14:04Z","timestamp":1750050844000},"page":"1429-1445","update-policy":"https:\/\/doi.org\/10.1017\/policypage","source":"Crossref","is-referenced-by-count":0,"title":["Limit theorems of stochastic differential equations with jumps"],"prefix":"10.1017","volume":"62","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5407-3817","authenticated-orcid":false,"given":"Huijie","family":"Qiao","sequence":"first","affiliation":[{"name":"Southeast University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2025,6,16]]},"reference":[{"key":"S0021900225000178_ref7","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-02514-7","volume-title":"Limit Theorems for Stochastic Processes","author":"Jacod","year":"1987"},{"key":"S0021900225000178_ref8","first-page":"284","volume-title":"Brownian Motion and Stochastic Calculus","author":"Karatzas","year":"2005"},{"key":"S0021900225000178_ref12","doi-asserted-by":"crossref","first-page":"344","DOI":"10.2307\/3211904","article-title":"Limit theorems for sequences of jump Markov processes approximating ordinary differential processes","volume":"8","author":"Kurtz","year":"1971","journal-title":"J. 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