{"title":"一类具有Lidstone边界条件的四阶迭代边值问题","authors":"E. Kaufmann","doi":"10.7153/dea-2022-14-21","DOIUrl":null,"url":null,"abstract":". Let m (cid:2) 2 and a > 0. We consider the existence and uniqueness of solutions to the fourth-order iterative boundary value problem solutions satisfying Lidstone Here the iterative functions are de fi ned by x [ 2 ] ( t ) = x ( x ( t )) and for j = 3 ,... m , x [ j ( t ) = x ( x [ j − 1 ] ( t )) . The main tool employed to establish our results is the Schauder fi xed point theorem.","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\":\"A fourth-order iterative boundary value problem with Lidstone boundary conditions\",\"authors\":\"E. Kaufmann\",\"doi\":\"10.7153/dea-2022-14-21\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". Let m (cid:2) 2 and a > 0. We consider the existence and uniqueness of solutions to the fourth-order iterative boundary value problem solutions satisfying Lidstone Here the iterative functions are de fi ned by x [ 2 ] ( t ) = x ( x ( t )) and for j = 3 ,... m , x [ j ( t ) = x ( x [ j − 1 ] ( t )) . The main tool employed to establish our results is the Schauder fi xed point theorem.\",\"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-2022-14-21\",\"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-2022-14-21","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
. 设m (cid:2) 2且a > 0。考虑满足Lidstone的四阶迭代边值问题解的存在唯一性,其中迭代函数定义为x [2] (t) = x (x (t)),当j = 3时,…M, x [j (t)] = x (x [j−1](t))。用来建立我们的结果的主要工具是Schauder不动点定理。
A fourth-order iterative boundary value problem with Lidstone boundary conditions
. Let m (cid:2) 2 and a > 0. We consider the existence and uniqueness of solutions to the fourth-order iterative boundary value problem solutions satisfying Lidstone Here the iterative functions are de fi ned by x [ 2 ] ( t ) = x ( x ( t )) and for j = 3 ,... m , x [ j ( t ) = x ( x [ j − 1 ] ( t )) . The main tool employed to establish our results is the Schauder fi xed point theorem.