Results 21 to 30 of about 927,941 (284)
Inequalities for complementarity in observed statistics [PDF]
Physics Letters A, 2022 We provide an analysis of complementarity via a suitably designed classicalmodel that leads to a set of inequalities that can be tested by means ofunsharp measurements. We show that, if the measured statistics does notfulfill the inequalities it is equivalent to the lack of a joint distribution for theincompatible observables.
Elisa Masa, Laura Ares, Alfredo Luis
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Controllability of a Family of Nonlinear Population Dynamics Models
International Journal of Mathematics and Mathematical Sciences, 2021 Considering a nonlinear dynamical system, we study the nonlinear infinite-dimensional system obtained by grafting an operator A and an age structure. This system is such that the nonlinearity is at the level of births.
Yacouba Simporé
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On the observability inequality of coupled wave equations: the case without boundary [PDF]
E S A I M: Control, Optimisation and Calculus of Variations, 2018 In this paper, we study the observability and controllability of wave equations coupled by first or zero order terms on a compact manifold. We adopt the approach in Dehman-Lebeau’s paper [B. Dehman and G. Lebeau, SIAM J. Control Optim. 48 (2009) 521–550.]
Yanjun Cui, C. Laurent, Zhiqiang Wang
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Null controllability of a coupled model in population dynamics [PDF]
Mathematica Bohemica, 2023 We are concerned with the null controllability of a linear coupled population dynamics system or the so-called prey-predator model with Holling type I functional response of predator wherein both equations are structured in age and space.
Younes Echarroudi
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Observable set, observability, interpolation inequality and spectral inequality for the heat equation in Rn [PDF]
Journal des Mathématiques Pures et Appliquées, 2017 This paper studies connections among observable sets, the observability inequality, the H\"{o}lder-type interpolation inequality and the spectral inequality for the heat equation in $\mathbb R^n$.
GengshengBB Wang +3 more
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Analyticity and observability for fractional order parabolic equations in the whole space
E S A I M: Control, Optimisation and Calculus of Variations, 2023 In this paper, we study the quantitative analyticity and observability inequality for solutions of fractional order parabolic equations with space-time dependent potentials in R^n.
Ming Wang, Can Zhang
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Weak damping for the Korteweg-de Vries equation
Electronic Journal of Qualitative Theory of Differential Equations, 2021 For more than 20 years, the Korteweg–de Vries equation has been intensively explored from the mathematical point of view. Regarding control theory, when adding an internal force term in this equation, it is well known that the Korteweg–de Vries equation ...
Roberto de A. Capistrano Filho
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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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Observed inequality in urban greenspace exposure in China
Environment International, 2021 Given the important role of green environments playing in healthy cities, the inequality in urban greenspace exposure has aroused growing attentions. However, few comparative studies are available to quantify this phenomenon for cities with different population sizes across a country, especially for those in the developing world. Besides, commonly used
Yimeng Song +13 more
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Characterization by observability inequalities of controllability and stabilization properties [PDF]
Pure and Applied Analysis, 2018 Given a linear control system in a Hilbert space with a bounded control operator, we establish a characterization of exponential stabilizability in terms of an observability inequality.
Emmanuel Tr'elat +2 more
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