{"title":"时间尺度上一类积分动力方程的多重解","authors":"Svetlin G. Georgiev","doi":"10.5772/intechopen.95621","DOIUrl":null,"url":null,"abstract":"In this chapter we study a class of second-order integro-dynamic equations on time scales. A new topological approach is applied to prove the existence of at least two non-negative solutions. The arguments are based upon a recent theoretical result.","PeriodicalId":368291,"journal":{"name":"Recent Developments in the Solution of Nonlinear Differential Equations","volume":"10 21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Multiple Solutions for Some Classes Integro-Dynamic Equations on Time Scales\",\"authors\":\"Svetlin G. Georgiev\",\"doi\":\"10.5772/intechopen.95621\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this chapter we study a class of second-order integro-dynamic equations on time scales. A new topological approach is applied to prove the existence of at least two non-negative solutions. The arguments are based upon a recent theoretical result.\",\"PeriodicalId\":368291,\"journal\":{\"name\":\"Recent Developments in the Solution of Nonlinear Differential Equations\",\"volume\":\"10 21 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-09-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Recent Developments in the Solution of Nonlinear Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5772/intechopen.95621\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Recent Developments in the Solution of Nonlinear Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5772/intechopen.95621","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Multiple Solutions for Some Classes Integro-Dynamic Equations on Time Scales
In this chapter we study a class of second-order integro-dynamic equations on time scales. A new topological approach is applied to prove the existence of at least two non-negative solutions. The arguments are based upon a recent theoretical result.