{"title":"非线性微分方程解的光滑性","authors":"P. Zabreiko, V. I. Nazarov","doi":"10.1070/SM1992V072N01ABEH001266","DOIUrl":null,"url":null,"abstract":"Smoothness of solutions of ordinary differential equations of first and higher orders are considered in spaces of infinitely differentiable Roumieu functions. Various conditions on the right sides of the equations are studied for which smooth solutions of the equations lie in some Roumieu space.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Smoothness Properties of Solutions of Nonlinear Differential Equations\",\"authors\":\"P. Zabreiko, V. I. Nazarov\",\"doi\":\"10.1070/SM1992V072N01ABEH001266\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Smoothness of solutions of ordinary differential equations of first and higher orders are considered in spaces of infinitely differentiable Roumieu functions. Various conditions on the right sides of the equations are studied for which smooth solutions of the equations lie in some Roumieu space.\",\"PeriodicalId\":208776,\"journal\":{\"name\":\"Mathematics of The Ussr-sbornik\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-sbornik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/SM1992V072N01ABEH001266\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1992V072N01ABEH001266","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Smoothness Properties of Solutions of Nonlinear Differential Equations
Smoothness of solutions of ordinary differential equations of first and higher orders are considered in spaces of infinitely differentiable Roumieu functions. Various conditions on the right sides of the equations are studied for which smooth solutions of the equations lie in some Roumieu space.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
