{"title":"具有延迟参数的微分方程数值解的Chaplygin方法","authors":"L.M. Berezanskii, L.V. Idel's","doi":"10.1016/0041-5553(90)90212-B","DOIUrl":null,"url":null,"abstract":"<div><p>The numerical solution of differential equations with a delayed argument, based on the two-sided Chaplygin method is considered. Theorems on the convergence of monotonie operators are proved, and an algorithm and the results of numerical solutions are presented.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 215-219"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90212-B","citationCount":"0","resultStr":"{\"title\":\"Chaplygin's method for the numerical solution of differential equations with a delayed argument\",\"authors\":\"L.M. Berezanskii, L.V. Idel's\",\"doi\":\"10.1016/0041-5553(90)90212-B\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The numerical solution of differential equations with a delayed argument, based on the two-sided Chaplygin method is considered. Theorems on the convergence of monotonie operators are proved, and an algorithm and the results of numerical solutions are presented.</p></div>\",\"PeriodicalId\":101271,\"journal\":{\"name\":\"USSR Computational Mathematics and Mathematical Physics\",\"volume\":\"30 3\",\"pages\":\"Pages 215-219\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0041-5553(90)90212-B\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"USSR Computational Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/004155539090212B\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/004155539090212B","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Chaplygin's method for the numerical solution of differential equations with a delayed argument
The numerical solution of differential equations with a delayed argument, based on the two-sided Chaplygin method is considered. Theorems on the convergence of monotonie operators are proved, and an algorithm and the results of numerical solutions are presented.
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