{"title":"关于脉冲二阶延迟方程两点问题格林函数的符号-常数性","authors":"A. Domoshnitsky, Guy Landsman, S. Yanetz","doi":"10.14232/EJQTDE.2016.8.9","DOIUrl":null,"url":null,"abstract":"We consider the following second order dierential equation with delay In this paper we nd sucient conditions of positivity of Green's functions for this impulsive equation coupled with one-point boundary conditions in the form of theorems about dierential inequalities. Choosing the test function in these theorems, we obtain simple sucient conditions.","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"About sign-constancy of Green’s function of a two-point problem for impulsive second order delay equations\",\"authors\":\"A. Domoshnitsky, Guy Landsman, S. Yanetz\",\"doi\":\"10.14232/EJQTDE.2016.8.9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the following second order dierential equation with delay In this paper we nd sucient conditions of positivity of Green's functions for this impulsive equation coupled with one-point boundary conditions in the form of theorems about dierential inequalities. Choosing the test function in these theorems, we obtain simple sucient conditions.\",\"PeriodicalId\":175822,\"journal\":{\"name\":\"Functional differential equations\",\"volume\":\"37 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-10-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Functional differential equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.14232/EJQTDE.2016.8.9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Functional differential equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14232/EJQTDE.2016.8.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
About sign-constancy of Green’s function of a two-point problem for impulsive second order delay equations
We consider the following second order dierential equation with delay In this paper we nd sucient conditions of positivity of Green's functions for this impulsive equation coupled with one-point boundary conditions in the form of theorems about dierential inequalities. Choosing the test function in these theorems, we obtain simple sucient conditions.