ON THE HYERS-ULAM STABILITY OF DELAY DIFFERENTIAL EQUATIONS

被引：0

作者：

Ogrekci, Suleyman ^{[1
]}

Basci, Yasemin ^{[2
]}

Misir, Adil ^{[3
]}

机构：

[1] Amasya Univ, Dept Math, Fac Arts & Sci, Amasya, Turkey

[2] Abant Izzet Baysal Univ, Fac Arts & Sci, Dept Math, Bolu, Turkey

[3] Gazi Univ, Fac Sci, Dept Math, Ankara, Turkey

来源：

MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2022年 / 85卷

关键词：

Delay differential equations; Ulam type stability; fixed point alternative; FIXED-POINT APPROACH; RASSIAS STABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the stability problem of delay differential equations in the sense of Hyers-Ulam and Hyers-Ulam-Rassias. By using a well known fixed point alternative on generalized complete metric spaces, we obtain some new stability criteria. Our results extend and improve the results described in literature since their proofs are based on fewer and weaker assumptions than the recent results dealing with this problem. Some illustrative examples are also given to compare these results and visualize the improvement.

引用

页码：133 / 142

页数：10

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