{"title":"A Generalization of Difference Models of the Bittner Operational Calculus","authors":"H. Wysocki","doi":"10.2478/sjpna-2019-0024","DOIUrl":null,"url":null,"abstract":"Abstract In the paper, there has been constructed a discrete model of the non-classical Bittner operational calculus with a derivative understood as the operation Sb{x(k)} := {x(k+n) − b(k)x(k)}, which is a generalization of the nth-order forward difference. It has also been pointed out that there is a possibility to generalize operational calculus models with backward and central differences of higher orders.","PeriodicalId":34248,"journal":{"name":"Scientific Journal of Polish Naval Academy","volume":"219 1","pages":"41 - 52"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Scientific Journal of Polish Naval Academy","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/sjpna-2019-0024","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Abstract In the paper, there has been constructed a discrete model of the non-classical Bittner operational calculus with a derivative understood as the operation Sb{x(k)} := {x(k+n) − b(k)x(k)}, which is a generalization of the nth-order forward difference. It has also been pointed out that there is a possibility to generalize operational calculus models with backward and central differences of higher orders.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
