Efficient nonlinear function approximation in analog resistive crossbars for recurrent neural networks by Junyi Yang, Ruibin Mao, Mingrui Jiang, Yichuan Cheng, Pao-Sheng Vincent Sun, Shuai Dong, Giacomo Pedretti, Xia Sheng, Jim Ignowski, Haoliang Li, Can Li, Arindam Basu

“…This can be attributed to the significant time and energy penalties incurred in implementing nonlinear activation functions that are abundant in such models. …”
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Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations by Hassan Eltayeb, Adem Kılıçman

“…The technique is based on the application of Sumudu transform to nonlinear coupled partial differential equations. The nonlinear term can easily be handled with the help of Adomian polynomials. …”
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New Exact Solitary Wave Solutions of a Coupled Nonlinear Wave Equation by XiaoHua Liu, CaiXia He

“…By using the theory of planar dynamical systems to a coupled nonlinear wave equation, the existence of bell-shaped solitary wave solutions, kink-shaped solitary wave solutions, and periodic wave solutions is obtained. …”
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Learning Discrete-Time Uncertain Nonlinear Systems With Probabilistic Safety and Stability Constraints by Iman Salehi, Tyler Taplin, Ashwin P. Dani

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Positive Solutions for Nonlinear q-Fractional Difference Eigenvalue Problem with Nonlocal Conditions by Wafa Shammakh, Maryam Al-Yami

“…The problem of positive solutions for nonlinear q-fractional difference eigenvalue problem with nonlocal boundary conditions is investigated. …”
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Asymptotics and Periodicity of Positive Solutions on a Nonlinear Rational System of Difference Equations by Weizhen Quan, Xiaomei Lu, Li Wang, Jingren Zhou, Ridi Huang

“…The purpose of this paper is to discuss a nonlinear rational difference equation system with three variables. …”
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Six-wave interaction on resonant nonlinearity in a waveguide with infinitely conducting surfaces by Valery V. Ivakhnik, Darkhan R. Kapizov, Vladimir I. Nikonov

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Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions by J. Caballero, I. Cabrera, K. Sadarangani

“…We investigate the existence and uniqueness of positive solutions of the following nonlinear fractional differential equation with integral boundary value conditions, , , where , and is the Caputo fractional derivative and is a continuous function. …”
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Approximate Series Solution of Nonlinear Singular Boundary Value Problems Arising in Physiology by Randhir Singh, Jitendra Kumar, Gnaneshwar Nelakanti

“…Unlike the classical ADM, the proposed method avoids solving a sequence of nonlinear algebraic or transcendental equations for the undetermined coefficients. …”
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Extension of successive midpoint scheme for nonlinear differential equations with global nonlocal operators by Abdon Atangana, Seda Igret Araz

“…This research looked at nonlinear ordinary differential equations with global differential operators and the Dirac-delta and exponential decay kernels. …”
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Stability of Analytical and Numerical Solutions for Nonlinear Stochastic Delay Differential Equations with Jumps by Qiyong Li, Siqing Gan

“…This paper is concerned with the stability of analytical and numerical solutions for nonlinear stochastic delay differential equations (SDDEs) with jumps. …”
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STUDY ON NONLINEAR DYNAMIC CHARACTERISTICS OF DRIVING SYSTEM OF SHEARER CUTTING MACHINE WITH CLEARANCE by XIE Mao, LIU XiFu, Fu ChunTian, YU HaiYang

“…In order to study the nonlinear dynamic characteristics of the cutting system of the shearer with gap,a dynamic model of the gear system of the shearer cutting machine is established,and the function of meshing stiffness and damping in the model is established. …”
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Empirical likelihood based heteroscedasticity diagnostics for varying coefficient partially nonlinear models by Cuiping Wang, Xiaoshuang Zhou, Peixin Zhao

Subjects: “…varying coefficient partially nonlinear model…”
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A Generalization of Linear and Nonlinear Retarded Integral Inequalities in Two Independent Variables by Ying Jiang, Guojing Xing, Chenghui Zhang

“…By utilizing some analysis techniques, such as amplification method, differential, and integration, several new types of linear and nonlinear retarded integral inequalities in two independent variables are provided. …”
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Nonlinear Model of Vibrating Screen to Determine Permissible Spring Deterioration for Proper Separation by Cristian G. Rodriguez, Manuel A. Moncada, Emilio E. Dufeu, Mario I. Razeto

“…In this article, a two-dimensional three-degree-of-freedom nonlinear model that considers significant angular motion and damping is developed. …”
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Introduction to Higher-Order Iterative Methods for Finding Multiple Roots of Nonlinear Equations by Rajinder Thukral

“…We introduce two higher-order iterative methods for finding multiple zeros of nonlinear equations. Per iteration the new methods require three evaluations of function and one of its first derivatives. …”
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Linear and Nonlinear Dynamic Analyses of Sandwich Panels with Face Sheet-to-Core Debonding by Vyacheslav N. Burlayenko, Tomasz Sadowski

“…The emphasis is directed to the procedures used to elaborate linear and nonlinear models and to predict dynamic response of the sandwich panels. …”
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Analysis of the Diffusion SIR Epidemic Model With Networked Delay and Nonlinear Incidence Rate by Xiangyu Tang, Yujuan Chen

“…This paper is concerned with the qualitative analysis of a diffusion SIR epidemic model with networked delay and nonlinear incidence rate. First, we prove the existence and uniqueness of the model by using the method of upper and lower solutions. …”
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Existence and Multiplicity of Solutions for Discrete Nonlinear Two-Point Boundary Value Problems by Jianmin Guo, Caixia Guo

“…By using Morse theory, the critical point theory, and the character of 𝐾1/2, we consider the existence and multiplicity results of solutions to the following discrete nonlinear two-point boundary value problem −Δ2𝑥(𝑘−1)=𝑓(𝑘,𝑥(𝑘)),𝑘∈ℤ(1,𝑇) subject to 𝑥(0)=0=Δ𝑥(𝑇), where 𝑇 is a positive integer, ℤ(1,𝑇)={1,2,…,𝑇},Δ is the forward difference operator defined by Δ𝑥(𝑘)=𝑥(𝑘+1)−𝑥(𝑘), and 𝑓∶ℤ(1,𝑇)×ℝ→ℝ is continuous. …”
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Nonlinear responses of ecosystem carbon fluxes to precipitation change in a semiarid grassland by Hua Chai, Hua Chai, Jianying Ma, Jinwei Zhang, Junqin Li, Bo Meng, Chengliang Wang, Duofeng Pan, Jie Li, Wei Sun, Xuhui Zhou

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