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On the Regularity Problem for Parabolic Operators and the Role of Half-Time Derivative. [PDF]

J Geom Anal
Dindoš M.
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Assessing neighborhoods, wealth differentials, and perceived inequality in preindustrial societies. [PDF]

Proc Natl Acad Sci U S A
Thompson AE, Munson J, Ortman SG, Mejía Ramón AG, Feinman GM, Cervantes Quequezana G, Cruz P, Green AS, Lawrence D, Roscoe P.   +9 more
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Quartic Regularity. [PDF]

Vietnam J Math
Nesterov Y.
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Stability analysis of systems with time‐varying delay via a delay‐product‐type integral inequality

Mathematical methods in the applied sciences, 2022
This paper is concerned with the issue of stability analysis of systems with time‐varying delay. First, a delay‐product‐type (DPT) integral inequality is proposed, which combines the third‐order Bessel–Legendre (TOBL) integral inequality and the ...
Guoqiang Tan, Zhanshan Wang
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Admissibilization for Implicit Jump Systems With Mixed Retarded Delays Based on Reciprocally Convex Integral Inequality and Barbalat’s Lemma

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2021
This article considers admissibility analysis and stabilization for implicit Markovian jump systems (IMJSs) with retarded discrete-distributed delays. Admissibility analysis is investigated for the unforced delay IMJSs by virtue of reciprocally convex ...
Guangming Zhuang, Jianwei Xia, Jun‐e Feng, Wei Sun, Baoyong Zhang   +4 more
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Stability and Stabilization of T–S Fuzzy Time-Delay System via Relaxed Integral Inequality and Dynamic Delay Partition

IEEE transactions on fuzzy systems, 2021
This article investigates delay-dependent stability analysis and stabilization for continuous Takagi–Sugeno fuzzy systems with a time-varying delay. By employing dynamic delay partition, the delay interval $[0, d(t)]$ is partitioned into some variable ...
Gang Wang, Liang Jia, Hua-guang Zhang
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Stability Analysis for Delayed Neural Networks With an Improved General Free-Matrix-Based Integral Inequality

IEEE Transactions on Neural Networks and Learning Systems, 2020
This paper revisits the problem of stability analysis for neural networks with a time-varying delay. An improved general free-matrix-based (FMB) integral inequality is proposed with an undetermined number $m$ .
Jun Chen, Ju H. Park, Shengyuan Xu
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Novel Finite-Time Synchronization Criteria for Inertial Neural Networks With Time Delays via Integral Inequality Method

IEEE Transactions on Neural Networks and Learning Systems, 2019
In this paper, we are concerned with the finite-time synchronization of a class of inertial neural networks with time delays. Without applying some finite-time stability theorems, which are widely applied to studying the finite-time synchronization for ...
Zhengqiu Zhang, Jinde Cao
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Global Exponential Stability of Delayed Neural Networks Based on a New Integral Inequality

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2019
This paper focuses on the problem of exponential stability for a class of neural networks with time-varying delays. A more general inequality is established which extends the auxiliary function-based integral inequality.
Yajuan Liu, Ju H. Park, F. Fang
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