ON SECOND ORDER NONCONVEX SWEEPING PROCESS WITH NONCONVEX PERTURBATION

被引:0
|
作者
Aitalioubrahim, Myelkebir [1 ]
机构
[1] High Sch Ibn Khaldoune Commune Bouznika, BP 13100, Bouznika, Morocco
来源
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2011年 / 26卷 / 03期
关键词
nonconvex sweeping process; functional differential inclusion; uniformly rho-prox regular sets;
D O I
10.4134/CKMS.2011.26.3.515
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper deals with the existence result of solutions of a second order functional differential inclusion, governed by a class of nonconvex sweeping process, with a nonconvex perturbation.
引用
收藏
页码:515 / 530
页数:16
相关论文
共 50 条
  • [21] Numerical Solution for a Controlled Nonconvex Sweeping Process
    Nour, Chadi
    Zeidan, Vera
    IEEE CONTROL SYSTEMS LETTERS, 2022, 6 : 1190 - 1195
  • [22] Optimal control of a nonconvex perturbed sweeping process
    Cao, Tan H.
    Mordukhovich, B. S.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 266 (2-3) : 1003 - 1050
  • [23] Regularization of Nonconvex Sweeping Process in Hilbert Space
    Lionel Thibault
    Set-Valued Analysis, 2008, 16 : 319 - 333
  • [24] Polyhedral sweeping processes with unbounded nonconvex-valued perturbation
    Tolstonogov, A. A.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (11) : 7965 - 7983
  • [25] Second order sweeping process with almost convex perturbation
    Affane, Doria
    Yarou, Mustapha Fateh
    THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019), 2019, 2183
  • [26] State-dependent prox-regular sweeping process with a general nonconvex composed perturbation ☆
    Timoshin, Sergey A.
    Tolstonogov, Alexander A.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 544 (02)
  • [27] A nonsmooth maximum principle for a controlled nonconvex sweeping process
    Zeidan, Vera
    Nour, Chadi
    Saoud, Hassan
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269 (11) : 9531 - 9582
  • [28] NONCONVEX INTEGRO-DIFFERENTIAL SWEEPING PROCESS WITH APPLICATIONS
    Bouach, Abderrahim
    Haddad, Tahar
    Thibault, Lionel
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2022, 60 (05) : 2971 - 2995
  • [29] MONOTONE SOLUTIONS FOR NONCONVEX FUNCTIONAL DIFFERENTIAL INCLUSIONS OF SECOND ORDER WITH CARATHEODORY PERTURBATION
    Ibrahim, A. G.
    Aladsani, F. A.
    MATEMATICHE, 2010, 65 (01): : 127 - 150
  • [30] Nonconvex Sweeping Process with a Moving Set Depending on the State
    Noel, Jimmy
    Thibault, Lionel
    VIETNAM JOURNAL OF MATHEMATICS, 2014, 42 (04) : 595 - 612