一类测度中立型泛函微分方程的可微性  

Differentiability for Measure Neutral Functional Differential Equation

作　　者：田瑞 李宝麟 TIAN Rui;LI Baolin(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《吉首大学学报（自然科学版）》2023年第2期1-6,63,共7页Journal of Jishou University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(12161080)。

摘　　要：在广义常微分方程理论的框架中,借助测度中立型泛函微分方程与广义常微分方程之间存在的一一对应关系,获得了一类测度中立型泛函微分方程可微的充分条件,并通过定义新算子Ψ(λ,y)(t)证明了该类方程的可微性.In the framework of the theory of generalized ordinary differential equations,by virtue of the one-to-one correspondence between measure neutral functional differential equations and generalized ordinary differential equations,sufficient conditions for differentiability of measure neutral functional differential equations are put forward.On the basis of defining a new operatorΨ(λ,y)(t),differentiability for measure neutral functional differential equations is proved.

关 键 词：测度中立型泛函微分方程 广义常微分方程 可微性 LEBESGUE-STIELTJES积分 

分 类 号：O175.12[理学—数学]