Results 11 to 20 of about 712,412 (236)
Mathematics, 2023 In this paper, by applying the Hilbert Uniqueness Method in a non-cylindrical domain, we prove the exact null controllability of one wave equation with a moving boundary.
Lizhi Cui, Jing Lu
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Solutions of a Nonlinear Diffusion Equation with a Regularized Hyper-Bessel Operator
Fractal and Fractional, 2022 We investigate the Cauchy problem for a nonlinear fractional diffusion equation, which is modified using the time-fractional hyper-Bessel derivative. The source function is a gradient source of Hamilton–Jacobi type. The main objective of our current work
Nguyen Hoang Luc +2 more
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On the minimum energy compensation for linear time-varying disturbed systems [PDF]
Archives of Control Sciences, 2022 We consider in this work a class of finite dimensional time-varying linear disturbed systems. The main objective of this work is to studied the optimal control which ensures the remediability of a disturbance of time-varying disturbed systems.
El Mostafa Magri +3 more
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Regional controllability results for Riemann–Liouville fractional control systems
Results in Control and Optimization, 2022 In this paper, we consider the problem of regional controllability for semi-linear time-fractional sub-diffusion systems involving Riemann–Liouville fractional derivative.
A. Tajani, F.-Z. El Alaoui
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Axioms, 2018 We introduce the concept of regional enlarged observability for fractional evolution differential equations involving Riemann⁻Liouville derivatives. The Hilbert Uniqueness Method (HUM) is used to reconstruct the initial state between two prescribed
Hayat Zouiten +2 more
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Aveiro method in reproducing kernel Hilbert spaces under complete dictionary [PDF]
, 2016 Aveiro method is a sparse representation method in reproducing kernel Hilbert spaces, which gives orthogonal projections in linear combinations of reproducing kernels over uniqueness sets. It, however, suffers from determination of uniqueness sets in the
Weixiong Mai, Tao Qian
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Approximate Controllability of a 3D Nonlinear Stochastic Wave Equation
Journal of Applied Mathematics, 2014 We study the well-posedness of a 3D nonlinear stochastic wave equation which derives from the Maxwell system by the Galerkin method. Then we study the approximate controllability of this system by the Hilbert uniqueness method.
Peng Gao
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The behavior of solutions of non-linear differential equations in Hilbert space. I
International Journal of Mathematics and Mathematical Sciences, 1988 This paper deals with the behavior of solutions of ordinary differential equations in a Hilbert Space. Under certain conditions, we obtain lower estimates or upper estimates (or both) for the norm of solutions of two kinds of equations.
Vladimir Schuchman
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Observability and uniqueness theorem for a coupled hyperbolic system
International Journal of Mathematics and Mathematical Sciences, 2000 We deal with the inverse inequality for a coupled hyperbolic system with dissipation. The inverse inequality is an indispensable inequality that appears in the Hilbert Uniqueness Method (HUM), to establish equivalence of norms which guarantees uniqueness
Boris V. Kapitonov, Joel S. Souza
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Abstract and Applied Analysis, 2022 The ill-posed Helmholtz equation with inhomogeneous boundary deflection in a Hilbert space is regularized using the divergence regularization method (DRM).
Benedict Barnes +2 more
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