{"title":"一维非线性梁方程的摄动解","authors":"Li Shi, Xinhua Jiang, Duan Su","doi":"10.3724/SP.J.1160.2012.00356","DOIUrl":null,"url":null,"abstract":"For the initial-boundary value problem for the one-dimensional nonlinear beam equation with fixed ends,a first-term approximate solution is constructed via the method of multiple scales and uniform estimate for the error of the approximate solution is estimated by using energy method combining with nonlinear Gronwall inequality.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"26 1","pages":"356"},"PeriodicalIF":0.0000,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Perturbed Solution of the One-dimensional Nonlinear Beam Equation\",\"authors\":\"Li Shi, Xinhua Jiang, Duan Su\",\"doi\":\"10.3724/SP.J.1160.2012.00356\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For the initial-boundary value problem for the one-dimensional nonlinear beam equation with fixed ends,a first-term approximate solution is constructed via the method of multiple scales and uniform estimate for the error of the approximate solution is estimated by using energy method combining with nonlinear Gronwall inequality.\",\"PeriodicalId\":62008,\"journal\":{\"name\":\"应用泛函分析学报\",\"volume\":\"26 1\",\"pages\":\"356\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"应用泛函分析学报\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.3724/SP.J.1160.2012.00356\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"应用泛函分析学报","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.3724/SP.J.1160.2012.00356","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Perturbed Solution of the One-dimensional Nonlinear Beam Equation
For the initial-boundary value problem for the one-dimensional nonlinear beam equation with fixed ends,a first-term approximate solution is constructed via the method of multiple scales and uniform estimate for the error of the approximate solution is estimated by using energy method combining with nonlinear Gronwall inequality.
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