{"title":"非局部边界条件下三阶偏时滞微分方程的稳定性","authors":"A. Ashyralyev, S. Ibrahim, E. Hıncal","doi":"10.12732/ijam.v35i1.1","DOIUrl":null,"url":null,"abstract":": In the present paper, the stability of the initial value problem for the third order partial delay differential equation with nonlocal boundary condition is studied. The first of accuracy absolute stable difference scheme for solution of this problem is presented. Stability estimates for solution of this difference scheme are proved. Numerical results are provided.","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"ON STABILITY OF THE THIRD ORDER PARTIAL DELAY DIFFERENTIAL EQUATION WITH NONLOCAL BOUNDARY CONDITIONS\",\"authors\":\"A. Ashyralyev, S. Ibrahim, E. Hıncal\",\"doi\":\"10.12732/ijam.v35i1.1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\": In the present paper, the stability of the initial value problem for the third order partial delay differential equation with nonlocal boundary condition is studied. The first of accuracy absolute stable difference scheme for solution of this problem is presented. Stability estimates for solution of this difference scheme are proved. Numerical results are provided.\",\"PeriodicalId\":312472,\"journal\":{\"name\":\"International Journal of Apllied Mathematics\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Apllied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12732/ijam.v35i1.1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Apllied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/ijam.v35i1.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
ON STABILITY OF THE THIRD ORDER PARTIAL DELAY DIFFERENTIAL EQUATION WITH NONLOCAL BOUNDARY CONDITIONS
: In the present paper, the stability of the initial value problem for the third order partial delay differential equation with nonlocal boundary condition is studied. The first of accuracy absolute stable difference scheme for solution of this problem is presented. Stability estimates for solution of this difference scheme are proved. Numerical results are provided.