{"title":"关于积分-微分方程的可解性","authors":"Faez N. Ghaffoori","doi":"10.29350/qjps.2022.27.1.1466","DOIUrl":null,"url":null,"abstract":"In this paper, we study the existence of solution to integro-differential equations in the space of Lebesgue-integrable on un-bounded interval after transformed to nonlinear integral functional equation, the used tool is the fixed point theorem due to Schauder with weak measure of non compactness, due to De-Blasi. In addition, we give an example which satisfies the conditions of our existence theorem.","PeriodicalId":7856,"journal":{"name":"Al-Qadisiyah Journal Of Pure Science","volume":"34 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Solvability of the Integro-Differential Equations\",\"authors\":\"Faez N. Ghaffoori\",\"doi\":\"10.29350/qjps.2022.27.1.1466\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the existence of solution to integro-differential equations in the space of Lebesgue-integrable on un-bounded interval after transformed to nonlinear integral functional equation, the used tool is the fixed point theorem due to Schauder with weak measure of non compactness, due to De-Blasi. In addition, we give an example which satisfies the conditions of our existence theorem.\",\"PeriodicalId\":7856,\"journal\":{\"name\":\"Al-Qadisiyah Journal Of Pure Science\",\"volume\":\"34 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Al-Qadisiyah Journal Of Pure Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29350/qjps.2022.27.1.1466\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Al-Qadisiyah Journal Of Pure Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29350/qjps.2022.27.1.1466","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Solvability of the Integro-Differential Equations
In this paper, we study the existence of solution to integro-differential equations in the space of Lebesgue-integrable on un-bounded interval after transformed to nonlinear integral functional equation, the used tool is the fixed point theorem due to Schauder with weak measure of non compactness, due to De-Blasi. In addition, we give an example which satisfies the conditions of our existence theorem.
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