New Results on Ulam Stabilities of Nonlinear Integral Equations

被引：5
|
作者：
Tunc, Osman [1 ]
Tunc, Cemil [2 ]
Yao, Jen-Chih [3 ,4 ]
机构：
[1] Van Yuzuncu Yil Univ, Baskale Vocat Sch, Dept Comp Programing, TR-65080 Van, Turkiye
[2] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye
[3] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 404, Taiwan
[4] Acad Romanian Scientists, Bucharest 50044, Romania
来源：
MATHEMATICS | 2024年 / 12卷 / 05期
关键词：
Volterra integral equation; HUR stability; HU stability; Gronwall lemma; higher dimensions; HYERS-ULAM; DIFFERENTIAL-EQUATIONS; RASSIAS STABILITY; EXISTENCE;
D O I：
10.3390/math12050682
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article deals with the study of Hyers-Ulam stability (HU stability) and Hyers-Ulam-Rassias stability (HUR stability) for two classes of nonlinear Volterra integral equations (VIEqs), which are Hammerstein-type integral and Hammerstein-type functional integral equations, respectively. In this article, both the HU stability and HUR stability are obtained for the first integral equation and the HUR stability is obtained for the second integral equation. Among the used techniques, we present fixed point arguments and the Gronwall lemma as a basic tool. Two supporting examples are also provided to demonstrate the applications and effectiveness of the results.
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收藏
页数：13
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