高阶时滞微分方程的Ulam稳定性  

Ulam stability of high-order delay differential equations

作　　者：王淑一 孟凡伟[1] WANG Shuyi;MENG Fanwei(School of Mathematical Sciences,Qufu Normal University,273165,Qufu,Shandong,PRC)

机构地区：[1]曲阜师范大学数学科学学院,山东省曲阜市273165

出　　处：《曲阜师范大学学报（自然科学版）》2021年第4期1-7,共7页Journal of Qufu Normal University(Natural Science)

基　　金：国家自然科学基金(G11671227);山东省自然科学基金(ZR2019MA034).

摘　　要：文章利用自共轭微分算子研究高阶时滞微分方程的Ulam稳定性.首先给出了方程解的存在唯一性结果,在此基础上利用不等式结果得到了方程的Ulam稳定性.In this paper,Ulam stability of high-order delay differential equations is studied by using self-conjugate differential operator.Firstly,the existence and uniqueness of the solution are obtained.Then,Ulam stability of the equations is obtained by using inequality result.

关 键 词：自共轭微分算子 Ulam稳定性 GRONWALL-BELLMAN不等式 

分 类 号：O175.13[理学—数学]