A Boundary Value Problem for Bihypermonogenic Functions in Clifford Analysis by Xiaoli Bian, Yuying Qiao

“…This paper deals with a nonlinear boundary value problem for bihypermonogenic functions in Clifford analysis. …”
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Variational Iteration Method and Differential Transformation Method for Solving the SEIR Epidemic Model by A. Harir, S. Melliani, H. El Harfi, L. S. Chadli

“…The aim of the present study is to analyze and find a solution for the model of nonlinear ordinary differential equations (ODEs) describing the so-called coronavirus (COVID-19), a deadly and most parlous virus. …”
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Limit-Point/Limit-Circle Results for Equations with Damping by M. Bartušek, John R. Graef

“…The authors study the nonlinear limit-point and limit-circle properties for the second order nonlinear damped differential equation (a(t)|y'|p-1y')'+b(t)|y'|q-1y'+r(t)|y|λ-1y=0, where 0<λ≤p≤q, a(t)>0, and r(t)>0. …”
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A Semiparametric Approach for Modeling Partially Linear Autoregressive Model with Skew Normal Innovations by Leila Sakhabakhsh, Rahman Farnoosh, Afshin Fallah, Mohammadhassan Behzadi

“…The nonlinear autoregressive models under normal innovations are commonly used for nonlinear time series analysis in various fields. …”
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Limiting Behavior of Travelling Waves for the Modified Degasperis-Procesi Equation by Jiuli Yin, Liuwei Zhao, Shanyu Ding

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Existence Theory for q-Antiperiodic Boundary Value Problems of Sequential q-Fractional Integrodifferential Equations by Ravi P. Agarwal, Bashir Ahmad, Ahmed Alsaedi, Hana Al-Hutami

“…Our results rely on the standard tools of fixed-point theory such as Krasnoselskii's fixed-point theorem, Leray-Schauder nonlinear alternative, and Banach's contraction principle. …”
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Effect of Gear Backlash Function on the Dynamics Characteristic of Helical Gear by Wang Xin, Kang Boqiang

“…A three- degree- of- freedom shaft- torsion coupling nonlinear dynamics model of a single-stage helical cylindrical gear transmission system is established,which included the nonlinear factors such as gear backlash,time- varying stiffness,transmission error and so on. …”
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Output Feedback Control for Asymptotic Stabilization of Spacecraft with Input Saturation by Chutiphon Pukdeboon

“…Asymptotic stability is proven by Lyapunov stability theory. Moreover, a new nonlinear disturbance observer is designed to compensate for external disturbances. …”
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Global well-posedness of 2D incompressible Navier–Stokes–Darcy flow in a type of generalized time-dependent porosity media by Linlin Tan, Bianru Cheng

“…We establish the existence of global strong solutions for the system in both linear and nonlinear cases where porosity depends on pressure. …”
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Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying Delays by S. Udpin, P. Niamsup

“…Based on a discrete-type inequality, a new global stability condition for nonlinear difference equation is derived. We consider nonlinear discrete systems with time-varying delays and independence of delay time. …”
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Postural stability measures as diagnostic tools for chronic ankle instability: a comprehensive assessment by Makan Piri, Kazem Malmir, Khadijeh Otadi, Azadeh Shadmehr

“…This study evaluates the diagnostic utility of various linear and nonlinear postural stability measures in distinguishing individuals with CAI from healthy controls. …”
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A Semianalytical Production Prediction Model and Dynamics Performance Analysis for Shale Gas Wells by Yingying Xu, Xiangui Liu, Zhiming Hu, Xianggang Duan, Jin Chang

“…The shale gas productivity model based on shale gas nonlinear seepage mechanism is an effective way to reasonably predict productivity. …”
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Emerging Spatiotemporal Dynamics in Multiterminal Neuromorphic Nanowire Networks Through Conductance Matrices and Voltage Maps by Davide Pilati, Fabio Michieletti, Alessandro Cultrera, Carlo Ricciardi, Gianluca Milano

“…The multiterminal approach also allowed monitoring the spatial distribution of nonlinear activity, demonstrating the impact of different network areas on the system's information processing capabilities. …”
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Chaos synchronization for a class of uncertain chaotic supply chain and its control by ANFIS by Seyed Mohamad Hamidzadeh, Mohsen Rezaei, Mehdi Ranjbar-Bourani

“…To train adaptive neural fuzzy controller, first, a nonlinear feedback control method is designed. Then, using Lyapanov theory, it is proved that the nonlinear feedback controller can reduce the synchronization error to zero in a finite time. …”
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Stabilization Using a Discrete Fuzzy PDC Control with PID Controllers and Pole Placement: Application to an Experimental Greenhouse by Amine Chouchaine, Elyes Feki, Abdelkader Mami

“…This paper proposes a control strategy for complex and nonlinear systems, based on a parallel distributed compensation (PDC) controller. …”
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Optimal New Sliding Mode Controller Combined with Modified Supertwisting Algorithm for a Perturbed Quadrotor UAV by Yassine El Houm, Ahmed Abbou, Moussa Labbadi, Mohamed Cherkaoui

“…This paper deals with the design of a novel modified supertwisting fast nonlinear sliding mode controller (MSTFNSMC) to stabilize a quadrotor system under time-varying disturbances. …”
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Driver’s Anticipation and Memory Driving Car-Following Model by Ammar Jafaripournimchahi, Lu Sun, Wusheng Hu

“…The changes of headway, relative velocity, and driver memory to the vehicle in front are introduced as factors of driver’s anticipation behavior. Linear and nonlinear stability analyses are both applied to study the linear and nonlinear stability conditions of the new model. …”
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Study on Dynamic Characteristics and Parameter Influence of a Kind of Bilateral Restraint Impact Vibration System by Li Ding, Shangshang Cheng, Kaifei Zhang, Jiajun Chai, He Li, Chengdong Niu, Chao Cao

“…In this paper, the hinge in the articulated structure is studied, the gap hinge is described as a nonlinear bilateral constraint, and the equivalent modeling and analysis of the hinge connection collision vibration are carried out based on the Lankarani–Nikravesh nonlinear contact force model. …”
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On the Ulam stability and existence of $ L^p $-solutions for fractional differential and integro-differential equations with Caputo-Hadamard derivative by Abduljawad Anwar, Shayma Adil Murad

“…In this paper, we investigate the existence and uniqueness of $ L^p $-solutions for nonlinear fractional differential and integro-differential equations with boundary conditions using the Caputo-Hadamard derivative. …”
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Effective Method for Analysis of Electrothermally Coupled Fields by Jacek Korytkowski, Stanisław Wincenciak

“…An effective method is presented for solving a nonlinear system of partial differential equations that describe the time-dependent electrothermally coupled fields for passage of constant electric current in a three-dimensional conductive medium. …”
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