{"title":"从价格理论看泛函微分方程","authors":"Anton S. Muresan","doi":"10.1109/SYNASC.2009.14","DOIUrl":null,"url":null,"abstract":"In this paper we consider a functional-differential equation which appears in price theory and in the dynamics of economical systems. We give some new results about existence, uniqueness and data dependence of the solution of a problem which appears in conection with this functional-differential equation. These results are obtained by using Picard operator's technique and an abstract model for the steps method, due to the Professor Ioan A. Rus.","PeriodicalId":286180,"journal":{"name":"2009 11th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"On a Functional-Differential Equation from Price Theory\",\"authors\":\"Anton S. Muresan\",\"doi\":\"10.1109/SYNASC.2009.14\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we consider a functional-differential equation which appears in price theory and in the dynamics of economical systems. We give some new results about existence, uniqueness and data dependence of the solution of a problem which appears in conection with this functional-differential equation. These results are obtained by using Picard operator's technique and an abstract model for the steps method, due to the Professor Ioan A. Rus.\",\"PeriodicalId\":286180,\"journal\":{\"name\":\"2009 11th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-09-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 11th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SYNASC.2009.14\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 11th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SYNASC.2009.14","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
摘要
本文考虑了价格理论和经济系统动力学中出现的一个泛函微分方程。给出了与该泛函微分方程有关的一个问题解的存在唯一性和数据依赖性的一些新结果。这些结果是利用Picard算子技术和步骤方法的抽象模型得到的,这是由Ioan A. Rus教授提出的。
On a Functional-Differential Equation from Price Theory
In this paper we consider a functional-differential equation which appears in price theory and in the dynamics of economical systems. We give some new results about existence, uniqueness and data dependence of the solution of a problem which appears in conection with this functional-differential equation. These results are obtained by using Picard operator's technique and an abstract model for the steps method, due to the Professor Ioan A. Rus.