自变量分段连续型Volterra积分微分方程的配置法  

Collocation method for Volterra Integro-differential equation with piecewise continuous arguments

作　　者：何春燕[1] HE Chunyan(School of Mathematical Sciences,Heilongjiang University,Harbin 150080,China)

机构地区：[1]黑龙江大学数学科学学院,哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2022年第4期410-421,共12页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(10371077)。

摘　　要：Volterra积分微分方程是近年来学者们研究的重要课题,在物理、生物、激光及人口增长等模型中得到广泛应用。本文对自变量分段连续型Volterra积分微分方程解的唯一性、收敛性、全局和局部超收敛性用配置法进行了研究。Volterra Integro-differential equation is an important research topic in recent years.It has been widely used in physics,biology,laser and population growth models,and so forth.In this paper,the uniqueness,convergence,global and local superconvergence of the solutions are studied for the type of equations by using the collocation method.

关 键 词：配置方法 解的存在性 解的收敛性 全局与局部超收敛性 

分 类 号：Q939.97[生物学—微生物学]