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Remarks on local controllability for the Boussinesq system with Navier boundary condition
This note deals with the local exact controllability to a particular class of trajectories for the Boussinesq system with nonlinear Navier–slip boundary conditions and internal controls having vanishing components.
Montoya, Cristhian
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In this manuscript, we investigate the controllability of two different kinds of Hilfer fractional differential equations with an almost sectorial operator and infinite delay.
Chandrabose Sindhu Varun Bose +4 more
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Controllability of Impulsive ψ-Caputo Fractional Evolution Equations with Nonlocal Conditions
This paper is mainly concerned with the exact controllability for a class of impulsive ψ-Caputo fractional evolution equations with nonlocal conditions. First, by generalized Laplace transforms, a mild solution for considered problems is introduced. Next,
Longfei Lin, Yansheng Liu, Daliang Zhao
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Controllability of Brain Neural Networks in Learning Disorders—A Geometric Approach
The human brain can be interpreted mathematically as a linear dynamical system that shifts through various cognitive regions promoting more or less complicated behaviors. The dynamics of brain neural network play a considerable role in cognitive function
Maria Isabel García-Planas +1 more
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Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems
This paper is concerned with exact null controllability analysis of nonlinear KdV-Burgers equation with memory. The proposed approach relies upon regression tool to prove controllability property of linearized KdV-Burgers equation via Carleman estimates.
Rajagounder Ravi Kumar +2 more
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ABSTRACT Secondary hyperparathyroidism (SHPT) is a common complication in patients receiving maintenance dialysis, driven by calcium and phosphate metabolism disturbances. Calcimimetics are central to the management of SHPT by enhancing calcium‐sensing receptor sensitivity and reducing parathyroid hormone secretion.
Fumihiko Koiwa +3 more
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ABSTRACT Introduction Adult‐onset Still's disease (AOSD) complicated by macrophage activation syndrome (MAS) carries substantial mortality. The role of therapeutic plasma exchange (TPE) remains uncertain. Methods We retrospectively analyzed patients with AOSD‐MAS treated with TPE at a single‐center.
Masataka Ueda +15 more
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Exact Controllability for Semilinear Wave Equations
The authors study the exact controllability of the system \[ {\partial^2 y(t, x) \over \partial t^2} - \Delta y(t, x) = f(y(t, x)) + \chi_\omega(x)u(t, x) \] in an \(n\)-dimensional domain \(\Omega\) with Dirichlet boundary condition, where \(\chi_\omega(x)\) is the characteristic function of a subdomain \(\omega \subseteq \Omega.\) Available results ...
Li, Liangyu, Zhang, Xu
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Reciprocal control of viral infection and phosphoinositide dynamics
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
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On exact controllability and complete stabilizability for linear systems
In this paper we consider linear systems with control described by the equation $\dot x = \mathcal A x +\mathcal B u$ where functions u and x take values in U and X respectively.
Rabah Rabah
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