{"title":"二维非线性Volterra泛函积分方程存在结果Petryshyn不动点定理的应用","authors":"Satish Kumar, H. Singh, Beenu Singh, Vinay Arora","doi":"10.7153/dea-2022-14-33","DOIUrl":null,"url":null,"abstract":". In this paper, the existence of result for 2DFIEs (Two Dimensional Functional integral equations) is considered. The main techniques in this discussion are Petryshyn’s fi xed point theorem with an MNC(Measure of non-compactness), which carries special cases a lot of FIEs. Finally, we recall some distinct cases and examples to prove the applicability of our study.","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\":\"Application of Petryshyn's fixed point theorem of existence result for non-linear 2D Volterra functional integral equations\",\"authors\":\"Satish Kumar, H. Singh, Beenu Singh, Vinay Arora\",\"doi\":\"10.7153/dea-2022-14-33\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, the existence of result for 2DFIEs (Two Dimensional Functional integral equations) is considered. The main techniques in this discussion are Petryshyn’s fi xed point theorem with an MNC(Measure of non-compactness), which carries special cases a lot of FIEs. Finally, we recall some distinct cases and examples to prove the applicability of our study.\",\"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-2022-14-33\",\"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-2022-14-33","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Application of Petryshyn's fixed point theorem of existence result for non-linear 2D Volterra functional integral equations
. In this paper, the existence of result for 2DFIEs (Two Dimensional Functional integral equations) is considered. The main techniques in this discussion are Petryshyn’s fi xed point theorem with an MNC(Measure of non-compactness), which carries special cases a lot of FIEs. Finally, we recall some distinct cases and examples to prove the applicability of our study.