Almost Sure and Lp Convergence of Split-Step Backward Euler Method for Stochastic Delay Differential Equation by Qian Guo, Xueyin Tao

“…The convergence of the split-step backward Euler (SSBE) method applied to stochastic differential equation with variable delay is proven in Lp-sense. Almost sure convergence is derived from the Lp convergence by Chebyshev’s inequality and the Borel-Cantelli lemma; meanwhile, the convergence rate is obtained.…”
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Offloading strategy with edge optimization of time delay and energy consumption in integrated satellite-terrestrial relay network by Meinan ZHANG, Mingqi ZHANG, Fei DING, Hengheng ZHUANG, Hairong MA

“…The integrated satellite-terrestrial relay network (ISTRN) is a necessary part of the next-generation wireless communication system, and has important practical significance for accelerating the construction of my country's air-space-terrestrial integrated network system.In the traditional ISTRN architecture, a large amount of signaling needs to be forwarded to the ground control center for processing, which increases the delay of network control and management.A new cloud fog computing architecture was proposed, which constructs a sub-regional edge fog computing layer between the ground access and the central cloud to improve the flexibility of business flow management and control.Under the cloud network framework, a Q-learning based edge computing offloading strategy was designed, and the offloading performance was evaluated by time delay and energy consumption.Simulation results show that, compared with Min-min algorithm and backtracking algorithm, Q-learning based computational offload algorithm has better performance in terms of time delay and energy consumption, and can achieve a balance between the joint optimization of time delay and energy consumption.…”
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Enhanced disturbance mitigation in nonlinear time delay systems with applications to double boost converters in microgrid environments by Mohanapriya Saminathan, Deepa Kaliyaperumal, Gopalakrishnan Ennappadam Ananthanarayanan, Deepa Gupta, Varikuti Sai Soumya Reddy

“…A group of inequalities is derived on the basis of Lyapunov stability concept, which are in the form of linear-matrix-inequalities (LMIs) to guarantee the asymptotic stability and tracking performance of the considered delayed double boost converter. …”
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A Robust Weak Taylor Approximation Scheme for Solutions of Jump-Diffusion Stochastic Delay Differential Equations by Yanli Zhou, Yonghong Wu, Xiangyu Ge, B. Wiwatanapataphee

“…Stochastic delay differential equations with jumps have a wide range of applications, particularly, in mathematical finance. …”
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Child with Deletion 9p Syndrome Presenting with Craniofacial Dysmorphism, Developmental Delay, and Multiple Congenital Malformations by Nirmala D. Sirisena, U. Kalpani S. Wijetunge, Ramya de Silva, Vajira H. W. Dissanayake

“…The child presented with craniofacial dysmorphism, developmental delay, and congenital malformations in agreement with the consensus phenotype. …”
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Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation by Mostafa Abbaszadeh, Mehdi Dehghan, Mahmoud A. Zaky, Ahmed S. Hendy

“…A numerical solution for neutral delay fractional order partial differential equations involving the Caputo fractional derivative is constructed. …”
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Robust fully distributed file caching for delay-tolerant networks: A reward-based incentive mechanism by Sidi Ahmed Ezzahidi, Essaid Sabir, Sara Koulali, El-Houssine Bouyakhf

“…This article exhibits a reward-based incentive mechanism for file caching in delay-tolerant networks. In delay-tolerant networks, nodes use relay’s store-carry-forward paradigm to reach the final destination. …”
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Oscillation Criteria for a Class of Second-Order Neutral Delay Dynamic Equations of Emden-Fowler Type by Zhenlai Han, Tongxing Li, Shurong Sun, Chao Zhang, Bangxian Han

“…We establish some new oscillation criteria for the second-order neutral delay dynamic equations of Emden-Fowler type, [a(t)(x(t)+r(t)x(τ(t)))Δ]Δ+p(t)xγ(δ(t))=0, on a time scale unbounded above. …”
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Adaptive Event-Triggered Synchronization of Networked Neural Networks with Time-Varying Delay Subject to Actuator Saturation by Yao Xu, Renren Wang, Hongqian Lu, Xingxing Song, Yahan Deng, Wuneng Zhou

“…Second, under the AETS, the synchronization error model of the delayed master-slave synchronization system is constructed with actuator saturation. …”
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A Pragmatic Approach to the Management of Severe Awake Bruxism in an Adolescent with Cerebral Palsy and Global Developmental Delay by N. Ismail, S. H. Hamzah, I. Wan Mokhtar

“…The report outlines how severe awake bruxism is managed in a 16-year-old Korean boy who has nonverbal spastic cerebral palsy and global developmental delay. The treatment protocol involved the fabrication of soft occlusal splints of three and four millimetres in thickness, followed by the placement of stainless-steel crowns on all first permanent molars whilst video recording and a bruxism diary was kept. …”
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The Time Delay Filtering Method for Cancelling Vibration on Overhead Transportation Systems Modelled as a Physical Pendulum by G. Peláez, J. Doval-Gandoy, N. Caparrini, J.C. García-Prada

“…Based on the physical pendulum model a Specified Time Delay filter for an experimental mini overhead crane was synthesized. …”
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Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay by Kishor D. Kucche, Machindra B. Dhakne

“…In this work we study existence results for mixed Volterra-Fredholm neutral functional integrodifferential equations with infinite delay in Banach spaces. To obtain a priori bounds of solutions required in Krasnoselski-Schaefer type fixed point theorem, we have used an integral inequality established by B. …”
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Fuzzy multi-model based dynamic sliding mode control for chemical process with long-time delay by Marco Herrera, Oscar Camacho, Alvaro Prado

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Exponential Synchronization of a Class of N-Coupled Complex Partial Differential Systems with Time-Varying Delay by Wenhua Xia, Yiping Luo, Bifeng Zhou, Guanghui Liu

“…This paper is concerned with the exponential synchronization for a class of N-coupled complex partial differential systems (PDSs) with time-varying delay. The synchronization error dynamic of the PDSs is defined in the q-dimensional spatial domain. …”
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Blow up of Coupled Nonlinear Klein-Gordon System with Distributed Delay, Strong Damping, and Source Terms by Djamel Ouchenane, Salah Mahmoud Boulaaras, Asma Alharbi, Bahri Cherif

“…This present work deals with the blow up of the coupled Klein-Gordon system with strong damping, distributed delay, and source terms, under suitable conditions.…”
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VB-Based Gaussian Sum Cubature Kalman Filter for Adaptive Estimation of Unknown Delay and Loss Probability by Ruipeng Wang, Xiaogang Wang, Haojie Zhang

“…Therefore, a variational Bayesian- (VB-) based Gaussian sum cubature Kalman filter is proposed to solve the nonlinear tracking problem of multistep random measurement delay and loss (MRMDL) with unknown probability. …”
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Time delay estimation algorithm of narrow band internet of things based on inter-cell interference cancellation by Hong TANG, Hongyan MOU, Haolan YANG

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Towards load adaptive routing based on link critical degree for delay-sensitive traffic in IP networks by Yang YANG, Jia-hai YANG, Hui WANG, Chen-xi LI, Yu-ding WANG

“…Delay-sensitive traffic requires lower end-to-end delay in IP networks, such as online video, VoIP, video con-ference. …”
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Men's more frequent predisposing factors in infectious endocarditis facilitate improvement of outcomes by shortening of diagnostic delay by S. Andreß, K. Reischmann, S. Markovic, F. Rohlmann, B. Hay, W. Rottbauer, D. Buckert, S. d'Almeida

“…Risk factors, clinical presentation and in-hospital outcomes along with the impact of diagnostic delay were compared between male and female patients.ResultsIE was diagnosed in 96 of 118 men (81.4%) and 33 of 45 women (73.3%) (p = 0.121). …”
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Bifurcation Analysis and Control of a Differential-Algebraic Predator-Prey Model with Allee Effect and Time Delay by Xue Zhang, Qing-ling Zhang

“…On the other hand, at a critical value of time delay, the model undergoes a Hopf bifurcation; that is, the increase of time delay destabilizes the model and bifurcates into small amplitude periodic solution. …”
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