{"title":"emden - fowler微分方程解的定性研究","authors":"M. Lefranc, J. Mawhin","doi":"10.3406/barb.1969.62455","DOIUrl":null,"url":null,"abstract":"Qualitative methods of the theory of ordinary differential equations are used to study the singularities of Emden-Fowler's equation in the (u,v)-plane. The phase-portrait of the trajectories is obtained by the method of isoclines for a number of values of the polytropic index.","PeriodicalId":296277,"journal":{"name":"Bulletin de la Classe des sciences","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Étude qualitative des solutions de l'équation différentielle d'Emden-Fowler\",\"authors\":\"M. Lefranc, J. Mawhin\",\"doi\":\"10.3406/barb.1969.62455\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Qualitative methods of the theory of ordinary differential equations are used to study the singularities of Emden-Fowler's equation in the (u,v)-plane. The phase-portrait of the trajectories is obtained by the method of isoclines for a number of values of the polytropic index.\",\"PeriodicalId\":296277,\"journal\":{\"name\":\"Bulletin de la Classe des sciences\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin de la Classe des sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3406/barb.1969.62455\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin de la Classe des sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3406/barb.1969.62455","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Étude qualitative des solutions de l'équation différentielle d'Emden-Fowler
Qualitative methods of the theory of ordinary differential equations are used to study the singularities of Emden-Fowler's equation in the (u,v)-plane. The phase-portrait of the trajectories is obtained by the method of isoclines for a number of values of the polytropic index.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
