{"title":"一类弱奇异核积分方程的有界问题","authors":"Shihchung Chiang","doi":"10.1109/ICEET56468.2022.10007179","DOIUrl":null,"url":null,"abstract":"This study discovered numerical bounds for the states of a class of integral equations with weakly singular kernels. The original motivation for this research was the reality that the states became bounded when their corresponding forces were bounded but could be unbounded as these forces increased, especially as time approached infinity [3]. The classical equations used in this study from an aeroelasticity model that describes dynamics of an airfoil flying supersonically in a nonrotational uniform fluid pattern [2]. This paper reveals that the far field behaviors of states can be bounded through the pre-setting of the bounds of forces.","PeriodicalId":241355,"journal":{"name":"2022 International Conference on Engineering and Emerging Technologies (ICEET)","volume":"114 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bounded Issues on a Class of Integral Equations with Weakly Singular Kernels\",\"authors\":\"Shihchung Chiang\",\"doi\":\"10.1109/ICEET56468.2022.10007179\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This study discovered numerical bounds for the states of a class of integral equations with weakly singular kernels. The original motivation for this research was the reality that the states became bounded when their corresponding forces were bounded but could be unbounded as these forces increased, especially as time approached infinity [3]. The classical equations used in this study from an aeroelasticity model that describes dynamics of an airfoil flying supersonically in a nonrotational uniform fluid pattern [2]. This paper reveals that the far field behaviors of states can be bounded through the pre-setting of the bounds of forces.\",\"PeriodicalId\":241355,\"journal\":{\"name\":\"2022 International Conference on Engineering and Emerging Technologies (ICEET)\",\"volume\":\"114 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-10-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 International Conference on Engineering and Emerging Technologies (ICEET)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICEET56468.2022.10007179\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 International Conference on Engineering and Emerging Technologies (ICEET)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEET56468.2022.10007179","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Bounded Issues on a Class of Integral Equations with Weakly Singular Kernels
This study discovered numerical bounds for the states of a class of integral equations with weakly singular kernels. The original motivation for this research was the reality that the states became bounded when their corresponding forces were bounded but could be unbounded as these forces increased, especially as time approached infinity [3]. The classical equations used in this study from an aeroelasticity model that describes dynamics of an airfoil flying supersonically in a nonrotational uniform fluid pattern [2]. This paper reveals that the far field behaviors of states can be bounded through the pre-setting of the bounds of forces.