{"title":"一些脉冲摆型方程解的有界性","authors":"Lüping Chen","doi":"10.1080/14689367.2022.2111295","DOIUrl":null,"url":null,"abstract":"In the present paper, we study the following impulsive pendulum-type equation where , . Under suitable impulses, by Moser's twist theorem, we prove that any solution of the impulsive pendulum-type equation is bounded, and there are infinitely many quasi-periodic solutions for the impulsive pendulum-type equation.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Boundedness of solutions for some impulsive pendulum-type equations\",\"authors\":\"Lüping Chen\",\"doi\":\"10.1080/14689367.2022.2111295\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present paper, we study the following impulsive pendulum-type equation where , . Under suitable impulses, by Moser's twist theorem, we prove that any solution of the impulsive pendulum-type equation is bounded, and there are infinitely many quasi-periodic solutions for the impulsive pendulum-type equation.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2022-08-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/14689367.2022.2111295\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/14689367.2022.2111295","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Boundedness of solutions for some impulsive pendulum-type equations
In the present paper, we study the following impulsive pendulum-type equation where , . Under suitable impulses, by Moser's twist theorem, we prove that any solution of the impulsive pendulum-type equation is bounded, and there are infinitely many quasi-periodic solutions for the impulsive pendulum-type equation.