{"title":"一个有效的热问题","authors":"T. Burton","doi":"10.7153/dea-2022-14-16","DOIUrl":null,"url":null,"abstract":". By means of fi xed point theory we study properties of solutions of a Volterra integral heat equation by fi mapping it into where is the resolvent of JA , J is a large positive number, and f is bounded. It turns out that the linear part has a unique fi xed point which is a uniformly good approximation of a fi xed point for the non- linear equation.Theobjective is to obtain conditions under which the heat applied by a ( t ) concentrates on the solution x ( t ) .","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An efficient heat problem\",\"authors\":\"T. Burton\",\"doi\":\"10.7153/dea-2022-14-16\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". By means of fi xed point theory we study properties of solutions of a Volterra integral heat equation by fi mapping it into where is the resolvent of JA , J is a large positive number, and f is bounded. It turns out that the linear part has a unique fi xed point which is a uniformly good approximation of a fi xed point for the non- linear equation.Theobjective is to obtain conditions under which the heat applied by a ( t ) concentrates on the solution x ( t ) .\",\"PeriodicalId\":179999,\"journal\":{\"name\":\"Differential Equations & Applications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations & Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/dea-2022-14-16\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations & Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/dea-2022-14-16","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
. By means of fi xed point theory we study properties of solutions of a Volterra integral heat equation by fi mapping it into where is the resolvent of JA , J is a large positive number, and f is bounded. It turns out that the linear part has a unique fi xed point which is a uniformly good approximation of a fi xed point for the non- linear equation.Theobjective is to obtain conditions under which the heat applied by a ( t ) concentrates on the solution x ( t ) .