{"title":"关于中立型比例时滞泛函微分方程的符号方法","authors":"S. Thota, P. Shanmugasundaram","doi":"10.1080/25742558.2020.1813961","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we present a new symbolic method for solving neutral functional-differential equations with proportional delays having variable coefficients via homotopy perturbation method. The proposed symbolic method is also applicable to solve the multi-pantograph equations with variable coefficients. Several numerical examples are given to illustrate the proposed method and the results show that the proposed symbolic method is very effective.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":" ","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2020.1813961","citationCount":"1","resultStr":"{\"title\":\"On a symbolic method for neutral functional-differential equations with proportional delays\",\"authors\":\"S. Thota, P. Shanmugasundaram\",\"doi\":\"10.1080/25742558.2020.1813961\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper, we present a new symbolic method for solving neutral functional-differential equations with proportional delays having variable coefficients via homotopy perturbation method. The proposed symbolic method is also applicable to solve the multi-pantograph equations with variable coefficients. Several numerical examples are given to illustrate the proposed method and the results show that the proposed symbolic method is very effective.\",\"PeriodicalId\":92618,\"journal\":{\"name\":\"Cogent mathematics & statistics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/25742558.2020.1813961\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Cogent mathematics & statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/25742558.2020.1813961\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cogent mathematics & statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/25742558.2020.1813961","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
On a symbolic method for neutral functional-differential equations with proportional delays
Abstract In this paper, we present a new symbolic method for solving neutral functional-differential equations with proportional delays having variable coefficients via homotopy perturbation method. The proposed symbolic method is also applicable to solve the multi-pantograph equations with variable coefficients. Several numerical examples are given to illustrate the proposed method and the results show that the proposed symbolic method is very effective.
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