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By using the linear operator theory, we deal with the difficulty brought by delay term of the neutral system and obtain the conclusion that the solutions of neutral stochastic delay differential equations with impulses converge to the solutions of the corresponding averaged stochastic delay differential equations without impulses in the sense of mean square and in probability. At last, an example is presented to show the validity of the proposed theories.<\/jats:p>","DOI":"10.1155\/2020\/6731091","type":"journal-article","created":{"date-parts":[[2020,6,15]],"date-time":"2020-06-15T23:31:49Z","timestamp":1592263909000},"page":"1-10","source":"Crossref","is-referenced-by-count":2,"title":["Periodic Averaging Principle for Neutral Stochastic Delay Differential Equations with Impulses"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5169-8750","authenticated-orcid":true,"given":"Peiguang","family":"Wang","sequence":"first","affiliation":[{"name":"College of Mathematics and Information Science, Hebei University, Baoding 071002, Hebei, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5082-3871","authenticated-orcid":true,"given":"Yan","family":"Xu","sequence":"additional","affiliation":[{"name":"College of Mathematics and Information Science, Hebei University, Baoding 071002, Hebei, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"issue":"3","key":"1","first-page":"260","volume":"4","year":"1968","journal-title":"Kybernetika"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-008-0144-z"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2011.06.001"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2016.07.058"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2019.05.013"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2019.12.024"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1186\/s13662-015-0411-0"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1142\/s0219493717500137"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2019.01.040"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1142\/s0219493719500047"},{"volume":"96","year":"2013","key":"11"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2010.06.009"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2019.108281"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(92)90148-g"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/6731091.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/6731091.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/6731091.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,6,15]],"date-time":"2020-06-15T23:31:51Z","timestamp":1592263911000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/6731091\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6,15]]},"references-count":14,"alternative-id":["6731091","6731091"],"URL":"https:\/\/doi.org\/10.1155\/2020\/6731091","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2020,6,15]]}}}