{"title":"混合型非线性脉冲微分方程的周期边值问题","authors":"Guobing Ye, Xiaoqi Zhou, L. Huang","doi":"10.1109/ISDEA.2012.423","DOIUrl":null,"url":null,"abstract":"In this paper, we generalize the classical lower and upper concepts, and establish some comparison principles. On the basis of them, we obtain the existence of extremal solutions of periodic boundary value problems for nonlinear impulsive differential equations of mixed type by using the monotone iterative technique.","PeriodicalId":267532,"journal":{"name":"2012 Second International Conference on Intelligent System Design and Engineering Application","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Periodic Boundary Value Problems for Nonlinear Impulsive Differential Equations of Mixed Type\",\"authors\":\"Guobing Ye, Xiaoqi Zhou, L. Huang\",\"doi\":\"10.1109/ISDEA.2012.423\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we generalize the classical lower and upper concepts, and establish some comparison principles. On the basis of them, we obtain the existence of extremal solutions of periodic boundary value problems for nonlinear impulsive differential equations of mixed type by using the monotone iterative technique.\",\"PeriodicalId\":267532,\"journal\":{\"name\":\"2012 Second International Conference on Intelligent System Design and Engineering Application\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-01-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 Second International Conference on Intelligent System Design and Engineering Application\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISDEA.2012.423\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Second International Conference on Intelligent System Design and Engineering Application","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISDEA.2012.423","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Periodic Boundary Value Problems for Nonlinear Impulsive Differential Equations of Mixed Type
In this paper, we generalize the classical lower and upper concepts, and establish some comparison principles. On the basis of them, we obtain the existence of extremal solutions of periodic boundary value problems for nonlinear impulsive differential equations of mixed type by using the monotone iterative technique.
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