New Investigation for the Liu-Story Scaled Conjugate Gradient Method for Nonlinear Optimization by Eman T. Hamed, Rana Z. Al-Kawaz, Abbas Y. Al-Bayati

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Nonlinear Regression Based Health Monitoring of Hysteretic Structures under Seismic Excitation by C. Xu, J. Geoffrey Chase, Geoffrey W. Rodgers

“…Then, nonlinear regression analysis is applied to identified nonlinear half cycles to yield nonlinear system parameters and two damage indicators: cumulative plastic deformation and residual deformation. …”
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A Novel Conformable Fractional Nonlinear Grey Bernoulli Model and Its Application by Wanli Xie, Guixian Yu

“…The fractional nonlinear grey Bernoulli model, abbreviated as FANGBM(1,1), is a successful extension of NGBM(1,1). …”
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On The oscillatory behavior of solutions to a class of second-order nonlinear differential equations by Maged Alkilayh

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Parametrization of the attainable set for a nonlinear control model of a biochemical process by Ellina Grigorieva, Evgenii Khailov, Andrei Korobeinikov

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$ L^1 $ local stability to a nonlinear shallow water wave model by Jun Meng, Shaoyong Lai

“…A nonlinear shallow water wave equation containing the famous Degasperis$ - $Procesi and Fornberg$ - $Whitham models is investigated. …”
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Finite difference method for a nonlinear fractional Schrödinger equation with Neumann condition by Betul Hicdurmaz

“…In this paper, a special case of nonlinear fractional Schrödinger equation with Neumann boundary condition is considered. …”
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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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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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