{"title":"卷积型二次积分方程的非递增解","authors":"W. El-Sayed, A. El-Mowla","doi":"10.7862/rf.2019.6","DOIUrl":null,"url":null,"abstract":"We study a nonlinear quadratic integral equation of Convolution type in the Banach space of real functions defined and continuous on a bounded and closed interval. By using a suitable measure of noncompactness, we show that the integral equation has monotonic solutions. AMS Subject Classification: 45G10, 47H30, 47N20.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonincreasing Solutions for Quadratic Integral Equations of Convolution Type\",\"authors\":\"W. El-Sayed, A. El-Mowla\",\"doi\":\"10.7862/rf.2019.6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study a nonlinear quadratic integral equation of Convolution type in the Banach space of real functions defined and continuous on a bounded and closed interval. By using a suitable measure of noncompactness, we show that the integral equation has monotonic solutions. AMS Subject Classification: 45G10, 47H30, 47N20.\",\"PeriodicalId\":345762,\"journal\":{\"name\":\"Journal of Mathematics and Applications\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7862/rf.2019.6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7862/rf.2019.6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Nonincreasing Solutions for Quadratic Integral Equations of Convolution Type
We study a nonlinear quadratic integral equation of Convolution type in the Banach space of real functions defined and continuous on a bounded and closed interval. By using a suitable measure of noncompactness, we show that the integral equation has monotonic solutions. AMS Subject Classification: 45G10, 47H30, 47N20.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
