The Sub-Supersolution Method and Extremal Solutions of Quasilinear Elliptic Equations in Orlicz-Sobolev Spaces by Ge Dong, Xiaochun Fang

“…The differential part is driven by a Leray-Lions operator in Orlicz-Sobolev spaces, while the nonlinear term g:Ω×R×RN→R is a Carathéodory function satisfying a growth condition. …”
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On the Solutions of Fractional Burgers-Fisher and Generalized Fisher’s Equations Using Two Reliable Methods by A. K. Gupta, S. Saha Ray

“…Comparison between the obtained solutions with the exact solutions exhibits that both the featured methods are effective and efficient in solving nonlinear problems. The obtained results justify the applicability of the proposed methods for fractional order Burgers-Fisher and generalized Fisher’s equations.…”
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Stabilization and Tracking Control of Inverted Pendulum Using Fractional Order PID Controllers by Sunil Kumar Mishra, Dinesh Chandra

“…A particle swarm optimisation (PSO) based direct tuning technique is used to design two PIλDμ controllers for IP system without linearizing the actual nonlinear model. The fitness function is minimized by running the SIMULINK model of IP system according to the PSO program in MATLAB. …”
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Application of Variational Iteration Method for Dropping Damage Evaluation of the Suspension Spring Packaging System by Shuang Song, Ning-ning Duan, An-jun Chen

“…The dropping damage evaluation for packaging system is essential for safe transportation and storage. A dynamic model of nonlinear cubic-quintic Duffing oscillator for the suspension spring packaging system was proposed. …”
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Variation in (Hyper)Polarizability of H₂ Molecule in Bond Dissociation Processes Under Spatial Confinement by Paweł Lipkowski, Wojciech Bartkowiak

“…In contrast to the recently investigated polar LiH molecule, it was shown that the spatial confinement significantly diminishes the linear and nonlinear response of H₂ for each interatomic (H-H) distance.…”
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Copula-based trading of cointegrated cryptocurrency Pairs by Masood Tadi, Jiří Witzany

“…To identify the most suitable pairs and generate trading signals formulated from a reference asset for analyzing the mispricing index, the study employs linear and nonlinear cointegration tests, a correlation coefficient measure, and fits different copula families, respectively. …”
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Hierarchy analysis and modeling on the Internet AS-level topology by GUO Hong1, YANG Bai-wei2, LAN Ju-long1, LIU Luo-kun2

“…Based on the in-depth analysis of he massive real AS-level topology data,the multi characteristics describing Internet AS-level topology’s hierarchy were abstracted,and a material way about network’s hierarchical partition were introduced,and the number of connected edged of adding new nodes and nonlinear probability were gived.Finally,a novel hierarchical dynamic evolution model named IAT-HDEM based on corenness and the k-core decomposition was proposed.The numerical simulations and analysis results showed that most of macroscopic statistics closed to real networks’,including power-law degree distribution and negative correlation clustering-degree distribution etc.…”
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Vibration Suppression of a Coupled Aircraft Wing with Finite-Time Convergence by Yiming Liu, Zhifeng Tan, Xiaofen Yang, Xiaowei Wang

“…A nonlinear coupled wing model subject to unknown external disturbances is proposed in this paper. …”
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Vector Bond Graph Method of Kineto-static Analysis for Planar Multi-body System with Gear Pair by Wang Zhongshuang, Zhao Yanwei, Tao Yangyang, Cao Jianguo

“…In order to increase the reliability and efficiency of the kineto-static analysis of complex planar multi-body system,the corresponding vector bond graph method is proposed.According to the kinematic constraint condition,the vector bond graph model of a gear pair with arbitrary tooth profile of tooth is built.Based on this,the theoretical method to build the planar multi-body systems model with gear pair by vector bond graph is given.For the algebraic difficulties brought by differential causality and nonlinear junction structure in modeling and kineto-static analysis of planar multi-body systems with gear pair,the effective bond graph augment method is proposed.By the corresponding algorithm,the computer aided modeling and kineto-static analysis of planar multi-body system with gear pair on a computer is realized,the validity of this method is illustrated.…”
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Travelling wave solutions for higher-order wave equations of KDV type (III) by Jibin Li, Weigou Rui, Yao Long, Bin He

“…By using the theory of planar dynamical systems to the travellingwave equation of a higher order nonlinear wave equations of KdV type, theexistence of smooth solitary wave, kink wave and anti-kink wave solutions anduncountably infinite many smooth and non-smooth periodic wave solutions areproved. …”
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Stability and Hopf Bifurcation for a Delayed SIR Epidemic Model with Logistic Growth by Yakui Xue, Tiantian Li

“…Besides, we compare the delayed SIR epidemic model with nonlinear incidence rate to the one with bilinear incidence rate. …”
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From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like Spaces by Mohamed Jleli, Bessem Samet, Calogero Vetro, Francesca Vetro

“…We discuss the extension of some fundamental results in nonlinear analysis to the setting of 0σ-complete metric-like spaces. …”
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TRANSLATION EXPOSURE AND PERFORMANCE OF DEPOSIT MONEY BANKS: EVIDENCE FROM NIGERIA by Eunice Oluganna

“…This study used ex-post facto research design and utilised panel data using Nonlinear Auto Regressive Distributed Lag (NARDL) model covering a period of sixteen years (2004-2019). …”
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A Relativistic Algorithm with Isotropic Coordinates by S. A. Ngubelanga, S. D. Maharaj

“…The algorithm leads to a nonlinear Bernoulli equation which can be integrated in terms of arbitrary functions. …”
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Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices by Qiongli Wu, Liangcai Gan, Qingfeng Fan

“…We establish the nonexistence of solution for the following nonlinear elliptic problem with weights: -Δu=(1+|x|α)|u|p-1u in RN, where α is a positive parameter. …”
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Autopilot Design Method for the Blended Missile Based on Model Predictive Control by Baoqing Yang, Yuyu Zhao

“…This paper develops a novel autopilot design method for blended missiles with aerodynamic control surfaces and lateral jets. Firstly, the nonlinear model of blended missiles is reduced into a piecewise affine (PWA) model according to the aerodynamics properties. …”
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Vibrations of Plates and Shells with Attached Mass by L. U. Sultanov, I. R. Garifullin

“…The transition from the initial dynamic system to the solution of the final system of nonlinear ordinary differential equations was achieved by the Bubnov–Galerkin method. …”
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Some Novel Complex Dynamic Behaviors of a Class of Four-Dimensional Chaotic or Hyperchaotic Systems Based on a Meshless Collocation Method by Du Mingjing, Yulan Wang

“…In the field of complex systems, there is a need for better methods of knowledge discovery due to their nonlinear dynamics. The numerical simulation of chaotic or hyperchaotic system is mainly performed by the fourth-order Runge–Kutta method, and other methods are rarely reported in previous work. …”
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Adaptive Iterative Learning Control of Hybrid Drive Cable Parallel Manipulator by Jianbin Cao, Mingsheng Wei, Haixiao Zhao

“…For a HDCPM system with nonlinear， time-varying characteristics and repetitive time-varying disturbance， an adaptive iterative learning control strategy， which controls gain variations with the iterations， is designed. …”
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Combined Effects in Singular Elliptic Problems in Punctured Domain by Imed Bachar, Habib Mâagli, Hassan Eltayeb

“…The paper deals with nonlinear elliptic differential equations subject to some boundary value conditions in a regular bounded punctured domain. …”
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