A Characterization of E-Benson Proper Efficiency via Nonlinear Scalarization in Vector Optimization by Ke Quan Zhao, Yuan Mei Xia, Hui Guo

“…A class of vector optimization problems is considered and a characterization of E-Benson proper efficiency is obtained by using a nonlinear scalarization function proposed by Göpfert et al. …”
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On a Nonlocal Multipoint and Integral Boundary Value Problem of Nonlinear Fractional Integrodifferential Equations by Lahcen Ibnelazyz, Karim Guida, Said Melliani, Khalid Hilal

“…The aim of this paper is to give the existence as well as the uniqueness results for a multipoint nonlocal integral boundary value problem of nonlinear sequential fractional integrodifferential equations. …”
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The Effect of Initial State Error for Nonlinear Systems with Delay via Iterative Learning Control by Zhang Qunli

“…An iterative learning control problem for nonlinear systems with delays is studied in detail in this paper. …”
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Blow-up dynamics in nonlinear coupled wave equations with fractional damping and external source by Abdelhadi Safsaf, Suleman Alfalqi, Ahmed Bchatnia, Abderrahmane Beniani

“…This study focused on a coupled nonlinear wave equation system featuring fractional damping and polynomial source terms within a bounded domain. …”
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Travelling Wave Solutions of Nonlinear Dynamical Equations in a Double-Chain Model of DNA by Zheng-yong Ouyang, Shan Zheng

“…We consider the nonlinear dynamics in a double-chain model of DNA which consists of two long elastic homogeneous strands connected with each other by an elastic membrane. …”
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Computational Modelling Strategies for Nonlinear Response Prediction of Corroded Circular RC Bridge Piers by Mohammad M. Kashani, Laura N. Lowes, Adam J. Crewe, Nicholas A. Alexander

“…A numerical model is presented that enables simulation of the nonlinear flexural response of corroded reinforced concrete (RC) components. …”
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Extinction Phenomenon and Decay Estimate for a Quasilinear Parabolic Equation with a Nonlinear Source by Dengming Liu, Luo Yang

“…By energy estimate approach and the method of upper and lower solutions, we give the conditions on the occurrence of the extinction and nonextinction behaviors of the solutions for a quasilinear parabolic equation with nonlinear source. Moreover, the decay estimates of the solutions are studied.…”
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Erratum to “Nonlinear Dynamics in a Cournot Duopoly with Different Attitudes towards Strategic Uncertainty” by Luciano Fanti, Luca Gori, Mauro Sodini

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An Adaptive Model Order Reduction Method Based on the Damage Evolution for Nonlinear Seismic Analysis by Jian Wang, Ming Fang, Hui Li

“…Nonlinear seismic analysis, an approach to evaluate the seismic performance of a structure, is facing the challenge of computational efficiency for large-scale and high-fidelity simulation. …”
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Modified α-Parameterized Differential Transform Method for Solving Nonlinear Generalized Gardner Equation by Abdulghafor M. Al-Rozbayani, Ahmed Farooq Qasim

“…In this article, we present a novel enhancement to the α-parameterized differential transform method (PDTM) for solving nonlinear boundary value problems. The proposed method is applied to solve the generalized Gardner equation by utilizing genetic algorithms to obtain optimal parameter values. …”
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A Continuous Trust-Region-Type Method for Solving Nonlinear Semidefinite Complementarity Problem by Ying Ji, Tienan Wang, Yijun Li

“…We propose a new method to solve nonlinear semidefinite complementarity problem by combining a continuous method and a trust-region-type method. …”
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Convergence Rate of Numerical Solutions for Nonlinear Stochastic Pantograph Equations with Markovian Switching and Jumps by Zhenyu Lu, Tingya Yang, Yanhan Hu, Junhao Hu

“…The sufficient conditions of existence and uniqueness of the solutions for nonlinear stochastic pantograph equations with Markovian switching and jumps are given. …”
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Approximate Prediction-Based Control Method for Nonlinear Oscillatory Systems with Applications to Chaotic Systems by Thiago P. Chagas, Pierre-Alexandre Bliman, Karl H. Kienitz

“…The approximate Prediction-Based Control method (aPBC) is the continuous-time version of the well-known Prediction-Based Chaos Control method applied to stabilize periodic orbits of nonlinear dynamical systems. The method is based on estimating future states of the free system response of continuous-time systems using the solution from the Runge-Kutta implicit method in real time. …”
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Nonlinear Dynamic Analysis on Dual-Rotor-Bearing-Casing System for Marine Gas Turbine by Zhikai Xing, Qiang Wang, Yongbao Liu, Mo Li, Xin Zhang

“…Taking the marine gas turbine as a research background, a dual-rotor-bearing-casing system model was established considering the bearing nonlinearities and unbalanced excitation. Based on Lagrange’s equation of motion and rotor dynamics theory, the effects of key parameters such as radial clearance of intershaft bearing, rotor mass eccentricity, and rotational speed on the nonlinear characteristics of the system are investigated. …”
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On the Global Stability Properties and Boundedness Results of Solutions of Third-Order Nonlinear Differential Equations by Muzaffer Ateş

“…We studied the global stability and boundedness results of third-order nonlinear differential equations of the form . Particular cases of this equation have been studied by many authors over years. …”
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Global boundedness in a Keller-Segel system with nonlinear indirect signal consumption mechanism by Zihan Zheng, Juan Wang, Liming Cai

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Data-Driven Modeling of Weakly Nonlinear Circuits via Generalized Transfer Function Approximation by Antonio Carlucci, Ion Victor Gosea, Stefano Grivet-Talocia

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Fault diagnosis of nonlinear analog circuits using generalized frequency response function and LSSVM. by Jialiang Zhang, Yaowang Yang

“…A fault diagnosis method of nonlinear analog circuits is proposed that combines the generalized frequency response function (GFRF) and the simplified least squares support vector machine (LSSVM). …”
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Identification of Input Nonlinear Control Autoregressive Systems Using Fractional Signal Processing Approach by Naveed Ishtiaq Chaudhary, Muhammad Asif Zahoor Raja, Junaid Ali Khan, Muhammad Saeed Aslam

“…A novel algorithm is developed based on fractional signal processing approach for parameter estimation of input nonlinear control autoregressive (INCAR) models. The design scheme consists of parameterization of INCAR systems to obtain linear-in-parameter models and to use fractional least mean square algorithm (FLMS) for adaptation of unknown parameter vectors. …”
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Iterative Scheme with Errors for Common Zeros of Finite Accretive Mappings and Nonlinear Elliptic Systems by Li Wei, Ruilin Tan

“…Moreover, the relationship between zeros of m-accretive mappings and one kind of nonlinear elliptic systems is investigated, from which we can see that some restrictions imposed on the iterative scheme are valid and the solution of one kind of nonlinear elliptic systems can be approximated by a suitably defined iterative sequence.…”
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