Asymptotic behavior for a nonlinear viscoelastic problem with a velocity-dependent material density by Nasser-Eddine Tatar

“…We consider a nonlinear viscoelastic problem and prove that the solutions are uniformly bounded and decay exponentially to zero as time goes to infinity. This is established under weaker conditions on the relaxation function than the usually used ones. …”
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Asymptotic Degree Distribution of a Kind of Asymmetric Evolving Network by Zhimin Li, Zhaolin He, Chunhua Hu

“…We show that the proportional degree sequence pkk>1 obeys power law, exponential distribution, and other forms according to the relation of k and parameter m.…”
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Calculation of Thermal Mode of Flat Irradiated Ceramic Mass Sample’ while Evaporating Moisture from Heated-up Surface by S. N. Osipov, V. A. Bilyk

“…In this case heating heat flow is diminishing in time exponentially. The most typical nomographic temperature and temperature gradient charts of heated surface and mean temperature of a plate are presented in the paper.…”
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Antiperiodic Solutions to Impulsive Cohen-Grossberg Neural Networks with Delays on Time Scales by Yanqin Wang, Maoan Han

“…We use the method of coincidence degree and construct suitable Lyapunov functional to investigate the existence and global exponential stability of antiperiodic solutions of impulsive Cohen-Grossberg neural networks with delays on time scales. …”
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Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary Dissipation by Shun-Tang Wu, Hsueh-Fang Chen

“…Under appropriate assumptions imposed on and with certain initial data, we establish the general decay rate of the solution energy which is not necessarily of exponential or polynomial type. This work generalizes and improves earlier results in the literature.…”
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A Note on Cube-Full Numbers in Arithmetic Progression by Mingxuan Zhong, Yuankui Ma

“…By extending the construction derived from Dirichlet’s hyperbola method and relying on Kloosterman-type exponential sum method, we improve the very recent error term with x118/4029<q.…”
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APPLICATIONS OF BRANCH-BOUND ALGORITHM TO SOLVE SOME OPTIMAL PROBLEMS RELATED TO THE HAMILTONIAN CYCLE BASED ON THE TSP by Đỗ Như An

“…The best algorithm for solving TSP is the branch-bound algorithm with exponential-time complexity. This paper presents how to use the branch-bound algorithm to solve some of the combinatorial optimization problems related to the Hamiltonian cycle based on the TSP.…”
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Energy solutions to the bi-harmonic parabolic equations by Saleh Almuthaybiri, Tarek Saanouni

“…This study explores the threshold of global existence and exponential decay versus finite-time blow-up for solutions to an inhomogeneous nonlinear bi-harmonic heat problem. …”
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Traffic Status Prediction of Arterial Roads Based on the Deep Recurrent Q-Learning by Wei Hao, Donglei Rong, Kefu Yi, Qiang Zeng, Zhibo Gao, Wenguang Wu, Chongfeng Wei, Biljana Scepanovic

“…With the exponential growth of traffic data and the complexity of traffic conditions, in order to effectively store and analyse data to feed back valid information, this paper proposed an urban road traffic status prediction model based on the optimized deep recurrent Q-Learning method. …”
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Research on the Rockburst Tendency and AE Characteristics of Inhomogeneous Coal-Rock Combination Bodies by Yun-liang Tan, Wei-yao Guo, Qing-heng Gu, Tong-bin Zhao, Feng-hai Yu, Shan-chao Hu, Yan-chun Yin

“…The results show that (1) the elastic modulus homogeneity mE has an exponential relation with macroscopic modulus E, and the bonding strength homogeneity mσ has an exponential relation with uniaxial compressive strength σc; (2) the rockburst tendency of the coal-rock combination body will increase with the increase of mE or mσ, and mσ is the leading factor influencing this tendency; and (3) both the change law of AE hits and lasting time in different periods of AE characteristics are influenced by mσ, but mE just influences the lasting time. …”
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VSS Degradation Kinetics in High Temperature Aerobic Digestion and Microbial Community Characteristics by Yunfen Shi, Huimin Ren

“…The correlation coefficient of the exponential factor was 0.9971. The VSS removal efficiency predicted by the model was validated with an actual test, showing a maximum relative deviation of 8.82%. …”
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Integrating Satellite Data and In-situ Observations for Trophic State Assessment of Renuka Lake, Himachal Pradesh, India by Sujit Kumar Jally, Rakesh Kumar and Sibabrata Das

“…Various interpolation methods were applied to the in-situ data, with the exponential regression model yielding the most accurate results.This method was subsequently selected to generate two-dimensional water-quality images of Renuka Lake. …”
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An Efficient Noise Elimination Method for Non-stationary and Non-linear Signals by Averaging Decomposed Components by Zhenzhou Sun, Hongchao Lu, Jiefeng Chen, Jialong Jiao

“…The segments are decomposed into a series of components via complex exponential decomposition, and the high-energy components are reserved to reconstruct de-noised signal. …”
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Prediction of Ultimate Antifloating Force of Bored Piles in Urban Road Crossing Overpass by Zhang Minxia, Fan Kaijun, Liao Shengrong, Xu Ping, Li Jinwei, Chen Chen

“…Besides, the MMF growth curve model, the ordinary hyperbolic model, and the exponential model are employed to fit and predict the ultimate bearing capacity of the measured uplift load and uplift displacement data of three test piles, respectively. …”
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An Efficient Convolution Algorithm for the Non-Markovian Two-Node Cyclic Network by Muhammad El-Taha, Thomas Michaud

“…Node 1 has N≤M servers, each having an exponential service time with rate λ. The second node consists of a single server with a general service time distribution function B.. …”
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Comparative Studies of Nonlinear Models and Their Applications to Magmatic Evolution and Crustal Growth of the Huai’an Terrane in the North China Craton by Qiuming Cheng, Min Gao

“…Power-law, inverse exponential and logarithmic models are widely used as empirical tools to describe anomalies in spatial and temporal geodynamic processes. …”
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Universal bounds on CFT Distance Conjecture by Hirosi Ooguri, Yifan Wang

“…In particular, our bounds on α indicate that the emergence of exponentially light states is inevitable as the moduli field corresponding to t rolls beyond the Planck scale along the steepest path and that this phenomenon can begin already at the curvature scale of the bulk geometry. …”
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Dynamic Prediction of Landslide Displacement Based on Multi-source Time Series by NAN Xiaocong, LIU Junfeng, ZHANG Yongxuan, WANG Yukui

“…Displacement prediction plays an important role in the landslide early warning and forecasting system.In order to improve the accuracy of displacement prediction,a method for dynamic prediction of landslide displacement combining variational modal decomposition (VMD) and double exponential smoothing method (DES) and neural network was proposed.Firstly,the variational modal decomposition was performed on the historical monitoring displacement data to generate multiple modal components,and then the prediction was carried out using the double exponential smoothing method and the extreme learning machine (ELM) model.And the particle swarm optimization algorithm was used to optimize the ELM model to finally accumulate the predicted values of each modal to complete the prediction.Taking the Baijiabao landslide in the Three Gorges reservoir area as an example,the established model was compared with the period terms predicted by least squares support vector machine (LSSVM) and convolutional neural network-gated recurrent unit (CNN-GRU).The results show that the DES-PSO-ELM used can effectively predict the changes of landslide displacement with the of RMSE,root mean square error (RMSE),mean absolute error (MAE),MAPE (mean absolute percentage error) and Pearson correlations of 1.293 mm,0.993 mm,0.008 0 and 0.999 8,respectively,showing minimum prediction errors.The research results can provide a technical basis for the landslide early warning monitoring system.…”
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Different‎ Magnetic Field ‎Distributions‎ in Deformed Neutron Stars‎ by Mina Zamani, Mohsen Bigdeli

“…We ‎show ‎how ‎the ‎magnetic ‎field ‎varies ‎from ‎the ‎‎surface ‎to ‎the ‎center ‎of ‎neutron‎ ‎star ‎by ‎using ‎various ‎exponential ‎and ‎polynomial ‎profiles ‎and ‎compare ‎their ‎results.‎‎In addition‎, ‎global properties of neutron stars ‎are‎ obtained within two formalisms‎. ‎…”
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Nonlinear Programming to Determine Best Weighted Coefficient of Balanced LINEX Loss Function Based on Lower Record Values by Fuad S. Al-Duais, Mohammed Alhagyan

“…The outputs of the simulation showed that the balanced linear exponential (BLINEX) loss function has the best performance. …”
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