Exponential Stabilization for Timoshenko Beam with Distributed Delay in the Boundary Control by Xiu Fang Liu, Gen Qi Xu

“…We consider the exponential stabilization for Timoshenko beam with distributed delay in the boundary control. …”
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Pullback Exponential Attractor for Second Order Nonautonomous Lattice System by Shengfan Zhou, Hong Chen, Zhaojuan Wang

“…We first present some sufficient conditions for the existence of a pullback exponential attractor for continuous process on the product space of the weighted spaces of infinite sequences. …”
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Exponential Stability in Hyperbolic Thermoelastic Diffusion Problem with Second Sound by Moncef Aouadi

“…It poses some new analytical and mathematical difficulties. The exponential stability of the slightly damped and totally hyperbolic system is proved. …”
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Exponentially Generated Modified Chen Distribution with Applications to Lifetime Dataset by Awopeju Kabiru Abidemi, Alfred A. Abiodun

“…In this paper, the exponentially generated system was used to modify a two-parameter Chen distribution to a four-parameter distribution with better performance. …”
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Simple power analysis attack against cryptosystems based on Montgomery algorithm by Gang GAN, Min WANG, Zhi-bo DU, Zhen WU

Subjects: “…modular exponentiation…”
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Global Dynamics of Some 3 × 6 Systems of Exponential Difference Equations by A. Q. Khan, A. Sharif

“…We study the global dynamics of a list of following 3×6 systems of exponential difference equations: xn+1=α4+β4e-yn/γ4+yn-1, yn+1=α5+β5e-zn/γ5+zn-1, zn+1=α6+β6e-xn/γ6+xn-1, xn+1=α7+β7e-zn/γ7+zn-1, yn+1=α8+β8e-xn/γ8+xn-1, zn+1=α9+β9e-yn/γ9+yn-1, xn+1=α10+β10e-xn/γ10+xn-1, yn+1=α11+β11e-yn/γ11+zn-1, zn+1=α12+β12e-zn/γ12+yn-1, xn+1=α13+β13e-xn/γ13+zn-1, yn+1=α14+β14e-yn/γ14+yn-1, zn+1=α15+β15e-zn/γ15+xn-1, xn+1=α16+β16e-xn/γ16+yn-1, yn+1=α17+β17e-yn/γ17+xn-1,  zn+1=α18+β18e-zn/γ18+zn-1, where αi,βi,γi,i=4,5,⋯,18 and the initial conditions x0,x-1,y0,y-1,z0,z-1 are arbitrary nonnegative real numbers. …”
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The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System by Yongjun Li, Xiaona Wei, Yanhong Zhang

“…Then we give a method to obtain the existence of weak D-pullback exponential attractors for a process. As an application, we obtain the existence of weak D-pullback exponential attractor for reaction diffusion equation in H01 with exponential growth of the external force.…”
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Almost Surely Exponential Stability of Numerical Solutions for Stochastic Pantograph Equations by Shaobo Zhou

“…And the backward EM method can reproduce almost surely exponential stability for highly nonlinear stochastic pantograph differential equations. …”
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An Exponential Varying-Parameter Neural Network for Repetitive Tracking of Mobile Manipulators by Ying Kong, Qingqing Tang, Jingsheng Lei, Ruiyang Zhang

“…A novel exponential varying-parameter neural network (EVPNN) is presented and investigated to solve the inverse redundancy scheme of the mobile manipulators via quadratic programming (QP). …”
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Grey modeling method for approximate exponential sequence of optimizing initial condition by Yun YUE, Guangyue LU

“…Grey GM（1,1）prediction method is only suitable for the prediction model of the original sequence which satisfies the characteristic of the approximate exponential through the accumulated generating operation.In order to widen the application range of the traditional grey prediction model,a new method,dubbed DGM（1,1,c,β）model（direct grey model）,was proposed to improve the accuracy of grey GM（1,1）prediction by optimizing initial conditions.DGM（1,1,c,β）model was established for the original sequence conforming to the approximate exponential and the model parameters were obtained by the particle swarm optimization algorithm.Both the simulation and analysis of the example demonstrate that the proposed method is more effective and practical.…”
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Bayesian Inference on the Shape Parameter and Future Observation of Exponentiated Family of Distributions by Sanku Dey, Sudhansu S. Maiti

“…The Bayes estimators of the shape parameter of exponentiated family of distributions have been derived by considering extension of Jeffreys' noninformative as well as conjugate priors under different scale-invariant loss functions, namely, weighted quadratic loss function, squared-log error loss function and general entropy loss function. …”
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An Exponential Active Queue Management Method Based on Random Early Detection by Hussein Abdel-Jaber

“…In this paper, the RED-Exponential Technique (RED_E) is proposed to deal with this issue by dropping arriving packets in an exponential manner without utilizing the maximum packet dropping probability. …”
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Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations by Şuayip Yüzbaşı, Mehmet Sezer

“…A numerical approximation based on the exponential functions is proposed to solve the singularly perturbed delay differential equations. …”
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New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces by Rigoberto Medina

“…We study the local exponential stability of evolution difference systems with slowly varying coefficients and nonlinear perturbations. …”
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A Comparative Study on Solving Optimization Problems With Exponentially Fewer Qubits by David Winderl, Nicola Franco, Jeanette Miriam Lorenz

“…In our work, we evaluate and improve an algorithm based on the VQE, which uses exponentially fewer qubits compared to the QAOA. We highlight the numerical instabilities generated by encoding the problem into the variational ansatz and propose a classical optimization procedure to find the ground state of the ansatz in fewer iterations with a better or similar objective. …”
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Explicit Bounds and Sharp Results for the Composition Operators Preserving the Exponential Class by Fernando Farroni, Raffaella Giova

“…Let f:Ω⊂Rn→Rn be a quasiconformal mapping whose Jacobian is denoted by Jf and let EXP(Ω) be the space of exponentially integrable functions on Ω. We give an explicit bound for the norm of the composition operator Tf: u∈EXP(Ω)↦u∘f-1∈EXP(f(Ω)) and, as a related question, we study the behaviour of the norm of log⁡Jf in the exponential class. …”
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Exponential Attractor for a First-Order Dissipative Lattice Dynamical System by Xiaoming Fan

“…And we obtain fractal dimension of the exponential attractor.…”
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Exponentially Fitted Numerical Method for Singularly Perturbed Differential-Difference Equations by Habtamu Garoma Debela, Solomon Bati Kejela, Ayana Deressa Negassa

“…The solution of this problem exhibits layer or oscillatory behavior depending on the sign of the sum of the coefficients in reaction terms. A fourth-order exponentially fitted numerical scheme on uniform mesh is developed. …”
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A New Extension of the Exponentiated Weibull Model Mathematical Properties and Modelling by Majdah Mohammed Badr, Amal T. Badawi, Alya S. Alzubidi

“…Recently, several writers have extended the exponentiated Weibull distribution. The five-parameter exponentiated Weibull-exponentiated Weibull (EW-EW) distribution is introduced. …”
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Decomposition of exponential sums based on subspace and its application in channel estimation by Zhiwei WU, Haiquan WANG, Meihui LI, Xinyu ZHANG, Taoxin QIAN

Subjects: “…decomposition of exponential sum…”
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