{"title":"MECHANIZED METHODS FOR DIFFERENTIAL AND DIFFERENCE EQUATIONS","authors":"Liu Ziming","doi":"10.1142/9789812838766_0001","DOIUrl":null,"url":null,"abstract":"In this paper,we review some recent advances on mechanical methods for differential and difference equations,which include a characteristic set method for differential-difference systems,a decomposition method for finite-dimensional linear differential-difference systems,and some algorithms for computing closed-form solutions for nonlinear ordinary differential and difference equations.","PeriodicalId":265315,"journal":{"name":"Journal of Systems Science and Mathematical Sciences","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Systems Science and Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9789812838766_0001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In this paper,we review some recent advances on mechanical methods for differential and difference equations,which include a characteristic set method for differential-difference systems,a decomposition method for finite-dimensional linear differential-difference systems,and some algorithms for computing closed-form solutions for nonlinear ordinary differential and difference equations.
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