Pinning in High-Tc Superconductors by Ernst Helmut Brandt

“…At lower T, ρ(J) is highly nonlinear, since the pinning energy increases with decreasing J. …”
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The Optimal Insurance Policy for the General Fixed Cost of Handling an Indemnity under Rank-Dependent Expected Utility by Liurui Deng

“…So, we explore the more general fixed cost function including both the linear and nonlinear functions. On the other hand, we consider adverse selection and moral hazard which are involved by Bernard et al. …”
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Global Bifurcation from Intervals for the Monge-Ampère Equations and Its Applications by Wenguo Shen

“…We shall establish the global bifurcation results from the trivial solutions axis or from infinity for the Monge-Ampère equations: det(D2u)=λm(x)-uN+m(x)f1(x,-u,-u′,λ)+f2(x,-u,-u′,λ), in B, u(x)=0, on ∂B, where D2u=(∂2u/∂xi∂xj) is the Hessian matrix of u, where B is the unit open ball of RN, m∈C(B¯,[0,+∞)) is a radially symmetric weighted function and m(r):=m(x)≢0 on any subinterval of [0,1], λ is a positive parameter, and the nonlinear term f1,f2∈C(B¯×R+3,R+), but f1 is not necessarily differentiable at the origin and infinity with respect to u, where R+=[0,+∞). …”
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Empirical Analysis of Financial Statement Fraud of Listed Companies Based on Logistic Regression and Random Forest Algorithm by Xinchun Liu

“…Financial supervision plays an important role in the construction of market economy, but financial data has the characteristics of being nonstationary and nonlinear and low signal-to-noise ratio, so an effective financial detection method is needed. …”
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Integrability, Variational Principle, Bifurcation, and New Wave Solutions for the Ivancevic Option Pricing Model by A. A. Elmandouh, M. E. Elbrolosy

“…The Ivancevic option pricing model comes as an alternative to the Black-Scholes model and depicts a controlled Brownian motion associated with the nonlinear Schrodinger equation. The applicability and practicality of this model have been studied by many researchers, but the analytical approach has been virtually absent from the literature. …”
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Analysis of the Effect of the Friction Coefficient on a Pavement Structure by Lu Bai, Yong-sheng Zhang

“…The model analyzes the inner stress, strain, and displacement variations of the pavement, with friction coefficients under the conditions of 0.3, 0.5, 0.8, and 1.0 and the action of the nonlinear superposition between the single-point static vertical load and horizontal load. …”
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Prediction of Blasting Fragmentation Based on GWO-ELM by Zhengzhao Jia, Ziling Song, Junfu Fan, Juyu Jiang

“…Aiming at the complex nonlinear relationship among factors affecting blasting fragmentation, the input weight and hidden layer threshold of ELM (extreme learning machine) were optimized by gray wolf optimizer (GWO) and the prediction model of GWO-ELM blasting fragmentation was established. …”
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Chemical Reaction and Radiation Effects on MHD Flow of Oldroyd-B Fluid through Porous Medium Past an Exponentially Stretching Sheet with Heat Sink by Faisal Salah, Abdelmgid O. M. Sidahmed

“…The governing system of nonlinear partial differential equations has transformed into a system of ordinary differential equations using similarity transformations. …”
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Overall Efficiency of Four-Stage Structure with Undesirable Outputs: A New SBM Network DEA Model by Nasim Roudabr, Seyyed Esmaeil Najafi, Zohreh Moghaddas, Farzad Movahedi Sobhani

“…However, in real-world problems, many DMU inputs and outputs have nonlinear values (values are the coefficients of inputs or outputs in modeling and can be the price of desirable outputs or the cost of inputs and undesirable outputs), something which was taken into account in the modeling process in this study. …”
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A New Type-3 Fuzzy PID for Energy Management in Microgrids by Weiping Fan, Ardashir Mohammadzadeh, Nasreen Kausar, Dragan Pamucar, Nasr Al Din Ide

“…The measurement errors, nonlinearities, and uncertainties degrade the performance of conventional PIDs. …”
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LSTM vs. Prophet: Achieving Superior Accuracy in Dynamic Electricity Demand Forecasting by Saleh Albahli

“…The LSTM component captures nonlinear dependencies and long-term temporal patterns, while Prophet models seasonal trends and event-driven fluctuations. …”
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A Comparative Study of Nonsingular Terminal Sliding Mode and Backstepping Schemes for the Coupled Two-Tank System by Safa Choueikh, Marwen Kermani, Faouzi M’sahli

“…The performances of the developed methods are experimentally tested on a particular class of second-order nonlinear systems. The main purpose of the considered control schemes is to achieve a tracking trajectory for a coupled-tank system. …”
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An Improved Recursive ARIMA Method with Recurrent Process for Remaining Useful Life Estimation of Bearings by Zeyu Luo, Xian-Bo Wang, Zhi-Xin Yang

“…The proposed method adds moving average (MA) components to the framework of ARNN, adding the long-range dependence and nonlinear factors. To deal with the recursive characteristics of the MA term, a process of MA component estimating is constructed based on the expectation-maximum method. …”
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A Comparative Study of Fractional-Order Diffusion Model within Atangana-Baleanu-Caputo Operator by Mohammad Alshammari, Naveed Iqbal, Davis Bundi Ntwiga

“…The suggested techniques can be applied to nonlinear fractional-order problems in a variety of applied science areas due to their simple and straightforward implementation. …”
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Design of Reduced-Order Multiple Observers for Uncertain Systems with Unknown Inputs by Mihai Lungu

“…The design of reduced-order multiple observers which can achieve the finite-time state reconstruction for nonlinear systems described by multiple models is a niche area problem; the author of this paper continuing his work started with the introduction of the reduced-order multiple observer concept. …”
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Viscosity model for fully liquid silicate melt by Zhang Guo-Hua, Chou Kuo-Chih

“…A model for estimating the viscosity of silicate melt as derived in our previous paper is extended to the system containing MgO, CaO, SrO, BaO, Li2O, Na2O, K2O, which can express the nonlinear variation of activation energy of viscosity with the composition. …”
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Implementing the Vieta–Lucas Collocation Optimization Method for MHD Casson and Williamson Model under the Effects of Heat Generation and Viscous Dissipation by M.M. Khader, A. Eid, M. Adel

“…This method is used to convert the problem’s system of ordinary differential equations (ODEs) into a nonlinear system of algebraic equations. This system is built as a restricted optimization problem and optimized to obtain the series solution’s unknown coefficients. …”
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Node Selection Algorithms with Data Accuracy Guarantee in Service-Oriented Wireless Sensor Networks by Hongju Cheng, Ronglie Guo, Yuzhong Chen

“…Firstly, we have formulated this problem into an integer nonlinear programming problem to illustrate its NP-hard property. …”
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Performance Evaluation of Laboratory Management System Based on BP Neural Network by Anjie Su, Zhigang Wu, Yifeng Yin

“…The BP neural network has strong nonlinear mapping, self-learning, and self-adaptive abilities. …”
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An exact approach to calibrating infectious disease models to surveillance data: The case of HIV and HSV-2 by David J. Gerberry

“…The technique is able to match surveillance data to high accuracy in a very efficient manner as it is based on the Newton-Raphson method for solving nonlinear systems. To demonstrate its robustness, we use the calibration technique on multiple models for the interacting dynamics of HIV and HSV-2.…”
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