一类指标1延迟积分代数方程解的存在性、唯一性及正则性  

Existence, uniqueness and regularity of the solution for a class of index-1 integral-algebraic equations with delay

作　　者：张玉杰 闫晗 梁慧[1] ZHANG Yujie;YAN Han;LIANG Hul(School of Mathematical,Heilongjiang University,Harbin 100080,China)

机构地区：[1]黑龙江大学数学科学学院,哈尔滨100082

出　　处：《黑龙江大学自然科学学报》2020年第2期149-159,共11页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the Reseach Fund of Heilongjiang Provincial Education Department (12541610)。

摘　　要：本文研究了一类指标1延迟积分代数方程。借助于解的预解表达式及数学归纳法,证明了解的存在性、唯一性及正则性。A class of index-1 integral-algebraic equations with delay were investigated.The existence,uniqueness and regularity of the solution were proved using the resolvent representation of the solution and the induction argument.

关 键 词：指标1积分代数方程 常延迟 存在性 唯一性 正则性 

分 类 号：O241.27[理学—计算数学]