Stabilities for a Class of Higher Order Integro-Differential Equations<bold> </bold>

被引：4
|
作者：
Castro, L. P. [1 ]
Simoes, A. M. [1 ,2 ]
机构：
[1] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, Aveiro, Portugal
[2] Univ Beira Interior, Ctr Math & Applicat, Dept Math, Covilha, Portugal
来源：
ICNPAA 2018 WORLD CONGRESS: 12TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES | 2018年 / 2046卷
关键词：
D O I：
10.1063/1.5081532
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work is devoted to analyse different kinds of stabilities for higher order integro-differential equations within appropriate metric spaces. We will consider the sigma-semi-Hyers-Ulam stability which is a new kind of stability somehow between the Hyers-Ulam and the Hyers-Ulam-Rassias stabilities. Sufficient conditions are obtained in view to guarantee Hyers-Ulam, sigma-semi-Hyers-Ulam and Hyers-Ulam-Rassias stabilities for such a class of integro-differential equations. We will be considering finite and infinite intervals as integration domains. Among the used techniques, we have fixed point arguments and generalizations of the Bielecki metric.<bold> </bold>
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页数：10
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