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
收藏
页数：10
相关论文
共 50 条
  • [1] New Sufficient Conditions to Ulam Stabilities for a Class of Higher Order Integro-Differential Equations
    Simoes, Alberto M.
    Carapau, Fernando
    Correia, Paulo
    SYMMETRY-BASEL, 2021, 13 (11):
  • [2] A new algorithm for higher order integro-differential equations
    Khan M.
    Afrika Matematika, 2015, 26 (1-2) : 247 - 255
  • [3] On a class of integro-differential equations
    Pitt, HR
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1944, 40 : 199 - 211
  • [4] A CLASS OF INTEGRO-DIFFERENTIAL EQUATIONS
    CHANG, SH
    AMERICAN JOURNAL OF MATHEMATICS, 1949, 71 (03) : 563 - 573
  • [5] ON A CLASS OF INTEGRO-DIFFERENTIAL EQUATIONS
    MANGERON, D
    OGUZTORE.MN
    ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1970, 48 (02): : 155 - &
  • [6] Legendre approximation solution for a class of higher-order Volterra integro-differential equations
    Venkatesh, S. G.
    Ayyaswamy, S. K.
    Balachandar, S. Raja
    AIN SHAMS ENGINEERING JOURNAL, 2012, 3 (04) : 417 - 422
  • [7] A Reliable Approach for Higher-order Integro-differential Equations
    Noor, Muhammad Aslam
    Mohyud-Din, Syed Tauseef
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2008, 3 (02): : 188 - 199
  • [8] A class of BVPS for first order impulsive integro-differential equations
    Liang, Jitai
    Liu, Yiliang
    Liu, Zhenhai
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (07) : 3667 - 3672
  • [9] On the Ulam stabilities of nonlinear integral equations and integro-differential equations
    Tunc, Osman
    Tunc, Cemil
    Petrusel, Gabriela
    Yao, Jen-Chih
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (06) : 4014 - 4028
  • [10] ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A CLASS OF HIGHER ORDER NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS
    Jianli Yao (Science School
    Annals of Applied Mathematics, 2009, 25 (02) : 208 - 218
12345