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>

引用

页数：10

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