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First, an equivalent relation between the solution of a stochastic reaction-diffusion differential system with time delays and impulsive effects and that of corresponding system without impulses is established. Then, some stability criteria for the stochastic reaction-diffusion differential system with time delays and impulsive effects are derived. Finally, the stability criteria are applied to impulsive stochastic reaction-diffusion Cohen-Grossberg neural networks with mixed time delays, and sufficient conditions are obtained for the exponential<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>p<\/mml:mi><\/mml:mrow><\/mml:math>-stability of the zero solution to the neural networks. An example is given to illustrate the effectiveness of our theoretical results. The systems we studied in this paper are more general, and some existing results are improved and extended.<\/jats:p>","DOI":"10.1155\/2013\/785141","type":"journal-article","created":{"date-parts":[[2013,8,27]],"date-time":"2013-08-27T17:05:15Z","timestamp":1377623115000},"page":"1-12","source":"Crossref","is-referenced-by-count":5,"title":["Stability Analysis for Impulsive Stochastic Reaction-Diffusion Differential System and Its Application to Neural Networks"],"prefix":"10.1155","volume":"2013","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5792-1247","authenticated-orcid":true,"given":"Yanke","family":"Du","sequence":"first","affiliation":[{"name":"Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanlu","family":"Li","sequence":"additional","affiliation":[{"name":"Training Department, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rui","family":"Xu","sequence":"additional","affiliation":[{"name":"Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2007.08.024"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2010.04.017"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2010.05.025"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2011.04.084"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2009.12.004"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2009.09.001"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2010.03.003"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2011.01.026"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2012.02.039"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2009.2034318"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2010.07.002"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2009.12.013"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2008.01.079"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2010.01.059"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2009.02.079"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2005.10.029"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2004.04.039"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2008.08.005"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2008.01.016"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2010.06.023"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1155\/2011\/570295"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2011.08.036"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2006.08.005"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2008.11.017"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2008.04.044"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2010.05.007"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2012.01.022"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2010.04.026"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/785141.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/785141.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/785141.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,30]],"date-time":"2016-07-30T14:17:12Z","timestamp":1469888232000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/785141\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":28,"alternative-id":["785141","785141"],"URL":"https:\/\/doi.org\/10.1155\/2013\/785141","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013]]}}}