Stochastic Synchronization of Neutral-Type Neural Networks with Multidelays Based on M-Matrix by Wuneng Zhou, Xueqing Yang, Jun Yang, Jun Zhou

“…The synchronization condition is expressed as linear matrix inequality which can be easily solved by MATLAB. Finally, we introduced a numerical example to illustrate the effectiveness of the method and result obtained in this paper.…”
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Potential Operators on Cones of Nonincreasing Functions by Alexander Meskhi, Ghulam Murtaza

“…Necessary and sufficient conditions on weight pairs guaranteeing the two-weight inequalities for the potential operators (Iαf)(x)=∫0∞(f(t)/|x−t|1−α)dt and (ℐα1,α2f)(x,y)=∫0∞∫0∞(f(t,τ)/|x−t|1−α1|y−τ|1−α2)dtdτ on the cone of nonincreasing functions are derived. …”
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The Lack of Social Well-Being in Two Disadvantaged Hungarian Micro-Regions by Nóra Baranyai, Júlia Schuchmann

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Synchronization of General Complex Networks with Hybrid Couplings and Unknown Perturbations by Xinsong Yang, Shuang Ai, Tingting Su, Ancheng Chang

“…The issue of synchronization for a class of hybrid coupled complex networks with mixed delays (discrete delays and distributed delays) and unknown nonstochastic external perturbations is studied. …”
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Generalized Hausdorff Operators on K̇α,qβ,pℝ and HK̇α,qβ,p,Nℝ in the Dunkl Settings by Faouaz Saadi, Othman Tyr, Radouan Daher

“…In the present paper, we obtain some new results, and we generalize some known results for the Hausdorff operators. …”
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A plenitude de um vazio em que a pobreza não é mais paisagem: a periferia em Paulo Lins e Ferréz by Alva Martínez Teixeiro

“…This article intends to place Paulo Lins’ novel Cidade de Deus and Ferréz’s novels Capão Pecado and Manual prático do ódio in the panorama of Brazilian contemporary “new-realisms”, evaluating thematic choices and narrative techniques and proce- dures. …”
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Global Robust Exponential Stability and Periodic Solutions for Interval Cohen-Grossberg Neural Networks with Mixed Delays by Yanke Du, Rui Xu

“…By employing H-matrix and M-matrix theory, homeomorphism techniques, Lyapunov functional method, and linear matrix inequality approach, sufficient conditions are established for the existence, uniqueness, and global robust exponential stability of the equilibrium point and the periodic solution to the neural networks. …”
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Matrix measure-based exponential stability and synchronization of Markovian jumping QVNNs with time-varying delays and delayed impulses by Miao Zhang, Bole Li, Weiqiang Gong, Shuo Ma, Qiang Li

“…This article explored the topics of global exponential stability and synchronization issues of a type of Markovian jumping quaternion-valued neural networks (QVNNs) that incorporate delayed impulses and time-varying delays. …”
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On the Multiplicity of a Proportionally Modular Numerical Semigroup by Ze Gu

“…A proportionally modular numerical semigroup is the set Sa,b,c of nonnegative integer solutions to a Diophantine inequality of the form ax mod b≤cx, where a,b, and c are positive integers. …”
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Further Results on Reachable Set Bounding for Discrete-Time System with Time-Varying Delay and Bounded Disturbance Inputs by Wei Kang, Hao Chen, Kaibo Shi, Jun Cheng

“…This paper investigates the problem of reachable set bounding for discrete-time system with time-varying delay and bounded disturbance inputs. Together with a new Lyapunov-Krasovskii functional, discrete Wirtinger-based inequality, and reciprocally convex approach, sufficient conditions are derived to find an ellipsoid to bound the reachable sets of discrete-time delayed system. …”
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Quantum information and the C-theorem in de Sitter by Nicolás Abate, Gonzalo Torroba

“…In this work, we show that these ideas can be generalized to field theories in a fixed de Sitter space. …”
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Controllability of a fluid-structure interaction system coupling the Navier–Stokes system and a damped beam equation by Buffe, Rémi, Takahashi, Takéo

“…We obtain this property by combining Carleman inequalities for the heat equation, for the damped beam equation and for the Laplace equation with high-frequency estimates. …”
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Analysis of a Generalized Lorenz–Stenflo Equation by Fuchen Zhang, Rui Chen, Xiusu Chen

“…Based on Lyapunov-like functional approach combining some simple inequalities, we derive the globally attractive set of this system with its parameters. …”
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De quelle éducation au politique l’évaluation PISA de la « compétence globale » est-elle porteuse ? by Jean-Émile Charlier, Sarah Croché

“…These prospects provide answers to the main challenges facing humanity, including those linked to “poverty, inequality, climate change, environmental degradation, prosperity, peace and justice” (id.) to all countries. …”
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Existence and Multiplicity of Solutions for Discrete Nonlinear Two-Point Boundary Value Problems by Jianmin Guo, Caixia Guo

“…In argument, Morse inequalities play an important role.…”
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Robust Linear Neural Network for Constrained Quadratic Optimization by Zixin Liu, Yuanan Liu, Lianglin Xiong

“…Utilizing linear matrix inequality (LMI) technique, eigenvalue perturbation theory, Lyapunov-Razumikhin method, and LaSalle’s invariance principle, some stable criteria for the related models are also established. …”
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Multiple Solutions for a Class of N-Laplacian Equations with Critical Growth and Indefinite Weight by Guoqing Zhang, Ziyan Yao

“…Using the suitable Trudinger-Moser inequality and the Mountain Pass Theorem, we prove the existence of multiple solutions for a class of N-Laplacian equations with critical growth and indefinite weight -div∇uN-2∇u+VxuN-2u=λuN-2u/xβ+fx,u/xβ+ɛhx, x∈ℝN, u≠0, x∈ℝN, where 0<β<N, V(x) is an indefinite weight, f:ℝN×ℝ→ℝ behaves like exp⁡αuN/N-1 and does not satisfy the Ambrosetti-Rabinowitz condition, and h∈(W1,N(ℝN))*.…”
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Observer-Based Robust Passive Control for a Class of Uncertain Neutral Systems: An Integral Sliding Mode Approach by Ruiping Xu, Zhen Liu, Cunchen Gao, Huimin Xiao

“…By employing a novel sliding functional, a new sufficient criterion of robust asymptotic stability and passivity for both the error system and the sliding mode (SM) dynamic system is derived via linear matrix inequality (LMI) technique. …”
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Prevalence of Anemia in Pediatric IBD Patients and Impact on Disease Severity: Results of the Pediatric IBD-Registry CEDATA-GPGE® by Jan de Laffolie, Martin W. Laass, Dietmar Scholz, Klaus-Peter Zimmer, Stephan Buderus, CEDATA-GPGE Study Group

“…PCDAI in anemic CD, p<0.0001, and PUCAI in anemic UC patients, p<0.0001, were significantly higher than in nonanemic patients. 40.0% of anemic CD and 47.8% of anemic UC patients received iron during follow-up. …”
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Introduction: The Participatory Turn in Urbanism by Maroš Krivý, Tahl Kaminer

“…This issue of Footprint examines the recent participatory turn in urban planning and urban design. …”
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