Results 21 to 30 of about 4,094 (263)
International Journal of Applied Mathematics and Computer Science, 2017 For abstract linear systems in Hilbert spaces we revisit the problems of exact controllability and complete stabilizability (stabilizability with an arbitrary decay rate), the latter property being related to exact null controllability.
Rabah Rabah +2 more
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Exact controllability of fractional order evolution equations in Banach spaces
Advances in Difference Equations, 2018 In this paper, we deal with the exact controllability of a class of fractional evolution equations with time-varying delay. Under the nonlocal condition, the exact controllability of this system is established by applying a Leray–Schauder alternative ...
Yi Cheng, Shanshan Gao, Yuhu Wu
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Remarks on local controllability for the Boussinesq system with Navier boundary condition
Comptes Rendus. Mathématique, 2020 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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Controllability of Brain Neural Networks in Learning Disorders—A Geometric Approach
Mathematics, 2022 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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Nonlinear Analysis, 2023 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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Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems
Abstract and Applied Analysis, 2012 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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Controllability of Impulsive ψ-Caputo Fractional Evolution Equations with Nonlocal Conditions
Mathematics, 2021 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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Pediatric Blood &Cancer, EarlyView.ABSTRACT Cup‐like nuclei are a distinctive morphological feature observed in certain cases of acute lymphoblastic leukemia (ALL). We provide evidence that they characterize DUX4/ERG ALL independently of IKZF1 deletion and reveal marked mitochondrial accumulation in this ALL subset.
Chloé Arfeuille +9 more
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On the exact controllability of Kirchoff plates
Differential and Integral Equations, 1991 The Kirchoff plate is the system \[ \begin{aligned} y''-h^ 2\Delta y''+\Delta^ 2 y=0 &\text{ in }\Omega\times(0,T) \\ y(T)=y'(T)=0 &\text{ in }\Omega \\ y=\Delta y=0 &\text{ on }\Gamma_ -\times(0,T) \\ y=0\text{ and }\Delta y=v &\text{ on }\Gamma_ +\times(0,T) \end{aligned} \] \(\Omega\) is a bounded domain in \(\mathbb{R}^ n\) with boundary \(\Gamma\)
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric radiation therapy presents unique challenges compared to adult treatments, including those of immobilization, potential need for sedation, and the critical importance of accurate, reproducible positioning. Additionally, heightened attention to imaging doses is necessary to minimize long‐term toxicity in survivors.
Parham Alaei +17 more
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