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Works cited by this work

21 works

Work: On the time-optimal control problem associated with fourth-order parabolic equation in a ball

  1. On a Time-Optimal Control Problem Associated with the Heat Exchange Process

    Sergio Albeverio, Shavkat Alimov

    ArticleStability and Controllability of Differential EquationsApplied Mathematics & Optimization200739 citations
    ABI

  2. On the Time-Optimal Control Problem Associated with the Heating Process of a Thin Rod

    Farrukh Dekhkonov, E. I. Kuchkorov

    ArticleAdvanced Mathematical Modeling in EngineeringLobachevskii Journal of Mathematics202314 citations
    ABI

  3. On the time-optimal control of the heat exchange process

    Sh. A. Alimov, Farrukh Dekhkonov

    Article201912 citations
    ABI

  4. Boundary Control of the Heat Transfer Process in the Space

    Z. Fayazova

    ArticleStochastic processes and financial applicationsRussian Mathematics201911 citations
    ABI

  5. Boundary control problem for the heat transfer equation associated with heating process of a rod

    Farrukh Dekhkonov

    ArticleDifferential Equations and Boundary ProblemsBULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS202311 citations
    ABI

  6. Time-varying bang–bang property of time optimal controls for heat equation and its application

    Ning Chen, Yanqing Wang, Donghui Yang

    Article201810 citations
    ABI

  7. On the time-optimal control problem for a heat equation

    Farrukh Dekhkonov

    ArticleDifferential Equations and Boundary ProblemsBULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS202310 citations
    ABI

  8. Exact controllability theorems for linear parabolic equations in one space dimension

    H. O. Fattorini, David L. Russell

    Article19718 citations
    ABI

  9. On the boundary control problem associated with a fourth order parabolic equation in a two-dimensional domain

    Farrukh Dekhkonov, Wenke Li

    ArticleStability and Controllability of Differential EquationsDiscrete and Continuous Dynamical Systems - S20247 citations
    ABI

  10. A fourth-order parabolic equation modeling epitaxial thin film growth

    B.B. King, Oliver Stein, Michael Winkler

    Article20036 citations
    ABI

  11. Global dynamical behavior of solutions for finite degenerate fourth-order parabolic equations with mean curvature nonlinearity

    Yuxuan Chen

    Article20236 citations
    ABI

  12. TIME OPTIMAL CONTROL PROBLEM WITH INTEGRAL CONSTRAINT FOR THE HEAT TRANSFER PROCESS

    Shavkat Alimov, Gafurjan Ibragimov

    Article20246 citations
    ABI

  13. NULL BOUNDARY CONTROLLABILITY FOR A FOURTH ORDER PARABOLIC EQUATION

    Yung-Jen Lin Guo

    Article20025 citations
    ABI

  14. Motion planning for the heat equation

    Béatrice Laroche, Philippe Martin, Pierre Rouchon

    Article20004 citations
    ABI

  15. On the time-optimal control problem for a fourth order parabolic equation in a two-dimensional domain

    Farrukh Dekhkonov

    ArticleDifferential Equations and Boundary ProblemsBULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS20243 citations
    ABI

  16. Über Integralgleichungen mit positivem Kern.

    Robert Jentzsch

    Article19123 citations
    ABI

  17. Sign Change for the Green Function¶and for the First Eigenfunction¶of Equations of Clamped-Plate Type

    Hans-Christoph Grunau, Guido Sweers

    Article19993 citations
    ABI

  18. A partial differential equation arising in conformal mapping

    P. R. Garabedian

    Article19513 citations
    ABI

  19. The Bang-Bang principle of time optimal controls for the heat equation with internal controls

    Gengsheng Wang, Lijuan Wang

    Article20073 citations
    ABI

  20. On a Question of Hadamard Concerning Super‐Biharmonic Functions

    R. J. Duffin

    Article19483 citations
    ABI

  21. On the cost of null controllability of a fourth-order parabolic equation

    Nicolás Carreño, Patricio Guzmán

    Article20162 citations
    ABI