Some estimates of multilinear operators on tent spaces by Heng Yang, Jiang Zhou

“…In this paper, we obtain the boundedness of some multilinear operators by establishing pointwise inequalities and applying extrapolation methods on tent spaces $ T_{r}^{q}(\mathbb{R}_{+}^{n+1}) $, where these multilinear operators include multilinear Hardy–Littlewood maximal operator $ \mathcal{M} $, multilinear fractional maximal operator $ \mathcal{M}_{\alpha} $, multilinear Calderón–Zygmund operator $ \mathcal{T} $, and multilinear fractional integral operator $ \mathcal{I}_{\alpha} $. …”
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Synchronization between Two Discrete-Time Networks with Mutual Couplings by Meng Xiao, Weigang Sun, Fangyue Chen

“…We then obtain a synchronized criterion for the inner synchronization inside each network by the method of linear matrix inequality and derive a relationship between the inner and outer synchronization. …”
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New Global Synchronization Analysis for Complex Networks with Coupling Delay by Jinfang Zhang, Yuanhua Qiao, Jun Miao, Lijuan Duan, Yanjun Zeng

“…Sufficient conditions for network synchronization are given based on Lyapunov functional, linear matrix inequality, and Kronecker product technique. The unknown variables in the sufficient conditions are fewer than those in the recent reference. …”
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Les territoires au temps du Covid : recherches en sciences humaines et sociales by Lise Bourdeau-Lepage, Guillaume Schmitt, André Torre

“…The Covid appeared as a catalyst for emerging and pre-existing phenomena, a revealer of inequalities and a generator of new dynamics within territories. …”
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Design of a Dynamic Simulator for a Biped Robot by Diego A. Bravo M, Carlos F. Rengifo Rodas

“…The intermittent nature of these forces and the mathematical inequalities that they must satisfy lead to models described by hybrid algebraic differential equations. …”
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A Mixed Traffic Assignment Problem and Its Upper Bound of Efficiency Loss by Xiao-Jun Yu, Jiancheng Long

“…A variational inequality (VI) formulation of a mixed traffic assignment problem associated with user equilibrium (UE) player and altruistic players (UE-AP) is developed. …”
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Stability Analysis for Markovian Jump Neutral Systems with Mixed Delays and Partially Known Transition Rates by Lianglin Xiong, Xiaobing Zhou, Jie Qiu, Jing Lei

“…The delay-dependent stability problem is studied for Markovian jump neutral systems with partial information on transition probabilities, and the considered delays are mixed and model dependent. By constructing the new stochastic Lyapunov-Krasovskii functional, which combined the introduced free matrices with the analysis technique of matrix inequalities, a sufficient condition for the systems with fully known transition rates is firstly established. …”
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Dénoncer la violence. Silences et prise de parole autour du harcèlement sexuel envers les travailleuses domestiques au Brésil by Valeria Ribeiro Corossacz

“…The text discusses in fact how the imbrication of racism, sexism and class inequalities is a key element to understand this sexual harassment, as well women’s responses to it.…”
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Extension of Nunokawa Lemma for Functions with Fixed Second Coefficient and Its Applications by Mostafa Amani, Rasoul Aghalary, Ali Ebadian

“…Also, we provide some new sufficient conditions for strongly starlike functions. …”
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A QP-Free Algorithm for Finite Minimax Problems by Daolan Han, Jinbao Jian, Qinfeng Zhang

“…Due to the expensive computation for solving QP subproblems with inequality constraints of SQP algorithms, in this paper, a QP-free algorithm which is also called sequential systems of linear equations algorithm is presented. …”
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Mathematical Formulation of Soft-Contact Problems for Various Rheological Models of Damper by Wiesław Grzesikiewicz, Artur Zbiciak

“…The mathematical descriptions of soft-contact problems involving variational inequalities are presented. The main finding of the paper is a method of description of soft-contact phenomenon between rigid object and deformable rheological structure by the system of explicit nonlinear differential-algebraic equations easy for numerical implementation. …”
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New Stability Criteria for Event-Triggered Nonlinear Networked Control System with Time Delay by Hongqian Lu, Yue Hu, Chaoqun Guo, Wuneng Zhou

“…At last, numerical examples are proposed to verify the effectiveness of the new method.…”
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Stochastic Finite-Time H∞ Performance Analysis of Continuous-Time Systems with Random Abrupt Changes by Bing Wang

“…By employing an augmented multiple mode-dependent Lyapunov-Krasovskii functional and using some integral inequalities, new sufficient conditions are obtained relating to finite-time bounded and an H∞ performance index. …”
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New Results on Reachable Set Estimation and Controller Design for Linear Systems with Mixed Delays via Triple Integral Functionals by Wei Kang, Shouming Zhong

“…This paper is concerned with the problem of reachable set estimation and controller design for a class of linear systems with mixed delays and bounded disturbance inputs. By constructing a newly augmented Lyapunov-Krasovskii functional, combining with triple integral technique and reciprocally convex approach, some new reachable set estimation conditions are derived in terms of linear matrix inequalities. …”
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Sharp Power Mean Bounds for the One-Parameter Harmonic Mean by Yu-Ming Chu, Li-Min Wu, Ying-Qing Song

“…We present the best possible parameters α=α(r) and β=β(r) such that the double inequality Mα(a,b)<Hr(a,b)<Mβ(a,b) holds for all r∈(0, 1/2) and a, b>0 with a≠b, where Mp(a, b)=[(ap+bp)/2]1/p  (p≠0) and M0(a, b)=ab and Hr(a, b)=2[ra+(1-r)b][rb+(1-r)a]/(a+b) are the power and one-parameter harmonic means of a and b, respectively.…”
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Anthropocene, History and Politics. Challenges and Critical Itineraries by Furio Ferraresi

“…The aim is to hold together the common dimension - human and non-human - of belonging to terrestrial eco-systems, with the ability to critically and genealogically read the power asymmetries, inequalities and conflicts that have made possible and still structure the Anthropocene, from the political perspective of inter-human and multi-species climate justice.…”
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Observer-Based Control Design for Nonlinear Networked Control Systems with Limited Information by Yilin Wang, Zhengrong Xiang, Hamid Reza Karimi

“…Based on the obtained model, a stability criterion is developed by constructing an appropriate Lyapunov-Krasovskii functional and sufficient conditions for the existence of a dynamic quantized output feedback controller which are given in terms of linear matrix inequalities (LMIs) such that the augmented error system is stochastically stable with an performance level. …”
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Quantum–Fractal–Fractional Operator in a Complex Domain by Adel A. Attiya, Rabha W. Ibrahim, Ali H. Hakami, Nak Eun Cho, Mansour F. Yassen

“…This leads to a study on a set of differential inequalities in the open unit disk. We focus on the conditions to obtain a bounded turning function of QFFOs. …”
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Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay by Yali Dong, Shengwei Mei, Xueli Wang

“…Furthermore, based on the Lyapunov method and the linear matrix inequality approach, the sufficient conditions of exponential stability for a class of uncertain systems with time-varying delays and nonlinear perturbations are derived. …”
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On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Extremal Coefficients by Jianren Long, Chunhui Qiu, Pengcheng Wu

“…Assume that there exists l∈{1,2,…,k-1}, such that Al is extremal for Yang's inequality; then we will give some conditions on other coefficients which can guarantee that every solution f(≢0) of the equation is of infinite order. …”
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