Optimal control problem of parabolic differential equation with two point boundary condition

被引:0
|
作者
Wang, GS [1 ]
Liu, CL [1 ]
机构
[1] Cent China Normal Univ, Dept Math, Wuhan 430070, Peoples R China
关键词
maximal monotone graph; tangent cone; optimality; control;
D O I
10.1016/S0252-9602(17)30623-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper deals with optimal control problem of parabolic differential equation with two point boundary conditions tin the time variable). The results here extend those in [3] on optimal control of the heat equations. Moreover, the technique used in this paper is based on some smooth approximations of "tangent cones" in the sense of Clarke and some maximal monotone operators.
引用
收藏
页码:138 / 147
页数:10
相关论文
共 50 条
  • [31] Source Identification Problem for a Parabolic Equation with Multipoint Nonlocal Boundary Condition
    Ashyralyyev, Charyyar
    Akkan, Pinar
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2020, 41 (16) : 1913 - 1935
  • [32] Maximum principle for optimal control of some parabolic systems with two point boundary conditions
    Wang, GS
    Chen, SR
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1999, 20 (1-2) : 163 - 174
  • [33] Maximum principle for optimal control of some parabolic systems with two point boundary conditions
    Wang, Gengsheng
    Chen, Shirong
    Numerical Functional Analysis and Optimization, 1999, 20 (01): : 163 - 174
  • [34] Optimal control of the system described by parabolic equation with conjugation condition
    Sergienko, Ivan V.
    Deyneka, Vasiliy S.
    Journal of Automation and Information Sciences, 2002, 34 (5-8) : 28 - 47
  • [35] OPTIMAL CONTROL PROBLEM FOR THE SECOND ORDER UNSTABLE HYPERBOLIC EQUATION WITH A NONLOCAL BOUNDARY CONDITION
    Mardanov, M. J.
    Guliyev, H. F.
    Tagiev, H. T.
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2024, 50 (02): : 167 - 177
  • [36] A problem with free boundary for a two-dimensional parabolic equation
    Ivanchov M.I.
    Journal of Mathematical Sciences, 2012, 183 (1) : 17 - 28
  • [37] Two-point boundary value problem for nonlinear differential equation of nth order
    Lepin, AY
    Lepin, LA
    Myshkis, AD
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 40 (1-8) : 397 - 406
  • [38] SOLUTION FOR TWO-POINT BOUNDARY VALUE PROBLEM OF THE SEMILINEAR FRACTIONAL DIFFERENTIAL EQUATION
    Caixia Guo
    Yugang Ren
    Jianmin Guo
    Shugui Kang
    Yaqiong Cui
    Huiqin Chen
    Annals of Applied Mathematics, 2017, 33 (02) : 155 - 161
  • [39] Optimal control of a convective boundary condition in a thermistor problem
    Hrynkiv, Volodymyr
    Lenhart, Suzanne
    Protopopescu, Vladimir
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (01) : 20 - 39
  • [40] Tricomi Problem for Mixed Parabolic–Hyperbolic Equation with Higher Order Boundary Condition
    Bauyrzhan Derbissaly
    Makhmud Sadybekov
    Bulletin of the Iranian Mathematical Society, 2023, 49