{"title":"m维反应扩散系统解的整体存在性和脉冲同步性","authors":"Wanli Yang, Suwen Zheng","doi":"10.1504/IJAMECHS.2012.052217","DOIUrl":null,"url":null,"abstract":"In this paper, an m-dimensional impulsive reaction-diffusion system is studied. Sufficient conditions are obtained for the global existence of solution for the impulsive system. By considering the equi-attractivity property of the impulsive error system, the impulsive synchronization of the m-dimensional reaction-diffusion system is investigated, and the sufficient conditions leading to the equi-attractivity property are obtained.","PeriodicalId":370765,"journal":{"name":"The 2011 International Conference on Advanced Mechatronic Systems","volume":"109 6","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The global existence of the solution and impulsive synchronization for m-dimensional reaction-diffusion system\",\"authors\":\"Wanli Yang, Suwen Zheng\",\"doi\":\"10.1504/IJAMECHS.2012.052217\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, an m-dimensional impulsive reaction-diffusion system is studied. Sufficient conditions are obtained for the global existence of solution for the impulsive system. By considering the equi-attractivity property of the impulsive error system, the impulsive synchronization of the m-dimensional reaction-diffusion system is investigated, and the sufficient conditions leading to the equi-attractivity property are obtained.\",\"PeriodicalId\":370765,\"journal\":{\"name\":\"The 2011 International Conference on Advanced Mechatronic Systems\",\"volume\":\"109 6\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The 2011 International Conference on Advanced Mechatronic Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1504/IJAMECHS.2012.052217\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 2011 International Conference on Advanced Mechatronic Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/IJAMECHS.2012.052217","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The global existence of the solution and impulsive synchronization for m-dimensional reaction-diffusion system
In this paper, an m-dimensional impulsive reaction-diffusion system is studied. Sufficient conditions are obtained for the global existence of solution for the impulsive system. By considering the equi-attractivity property of the impulsive error system, the impulsive synchronization of the m-dimensional reaction-diffusion system is investigated, and the sufficient conditions leading to the equi-attractivity property are obtained.
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