Boltzmann’s Six-Moment One-Dimensional Nonlinear System Equations with the Maxwell-Auzhan Boundary Conditions by A. Sakabekov, Y. Auzhani

“…We prove existence and uniqueness of the solution of the problem with initial and Maxwell-Auzhan boundary conditions for nonstationary nonlinear one-dimensional Boltzmann’s six-moment system equations in space of functions continuous in time and summable in square by a spatial variable. …”
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Nonlinear Analysis and Optimization of Recycled Aggregate Concrete Cross-Sections Based on Restoring Force Models by Chaolong Qi, Changqing Wang, Zhiming Ma

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A New Efficient Method for Solving Two-Dimensional Nonlinear System of Burger’s Differential Equations by Shams A. Ahmed, Mohamed Elbadri, Mohamed Z. Mohamed

“…In this work, the Sumudu decomposition method (SDM) is utilized to obtain the approximate solution of two-dimensional nonlinear system of Burger’s differential equations. …”
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3D Chaotic Nonlinear Dynamic Population-Growing Mathematical System Modeling with Multiple Controllers by Shaymaa Hussain, Suzan Obaıys, Nadia Al-saidi, Yeliz Karaca

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Positive and Nondecreasing Solutions to an m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation by I. J. Cabrera, J. Harjani, K. B. Sadarangani

“…We are concerned with the existence and uniqueness of a positive and nondecreasing solution for the following nonlinear fractional m-point boundary value problem: D0+αu(t)+f(t,u(t))=0,  0<t<1,  2<α≤3,  u(0)=u'(0)=0,  u'(1)=∑i=1m-2aiu'(ξi), where D0+α denotes the standard Riemann-Liouville fractional derivative, f:[0,1]×[0,∞)→[0,∞) is a continuous function, ai≥0 for i=1,2,…,m-2, and 0<ξ1<ξ2<⋯<ξm-2<1. …”
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On the Asymptotic Properties of Nonlinear Third-Order Neutral Delay Differential Equations with Distributed Deviating Arguments by Youliang Fu, Yazhou Tian, Cuimei Jiang, Tongxing Li

“…This paper is concerned with the asymptotic properties of solutions to a third-order nonlinear neutral delay differential equation with distributed deviating arguments. …”
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A Parameter Estimation Method for Nonlinear Systems Based on Improved Boundary Chicken Swarm Optimization by Shaolong Chen, Renyu Yang, Renhuan Yang, Liu Yang, Xiuzeng Yang, Chuangbiao Xu, Baoguo Xu, Huatao Zhang, Yaosheng Lu, Weiping Liu

“…Computer simulation results show it is feasible and with desirable performance for parameter estimation of nonlinear systems.…”
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Classical Lie Point Symmetry Analysis of a Steady Nonlinear One-Dimensional Fin Problem by R. J. Moitsheki, M. D. Mhlongo

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Optimal System, Reductions, and Conservation Laws of a Nonlinear Damped Klein-Gordon- Fock Equation by Faiza Arif, F. M. Mahomed, F. D. Zaman, M. T. Mustafa

“…A detailed Lie symmetry analysis of the nonlinear damped Klein-Gordon Fock equation: <inline-formula> <tex-math notation="LaTeX">$u_{tt}\,+\alpha (u)\,u_{t}\,=\,u_{xx}\,+\,f(u)$ </tex-math></inline-formula> is addressed in this paper. …”
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Design and Nonlinear Control of a 2-DOF Flexible Parallel Humanoid Arm Joint Robot by Leijie Jiang, Bingtuan Gao, Zhenyu Zhu

“…The paper focuses on the design and nonlinear control of the humanoid wrist/shoulder joint based on the cable-driven parallel mechanism which can realize roll and pitch movement. …”
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Alternative Legendre Polynomials Method for Nonlinear Fractional Integro-Differential Equations with Weakly Singular Kernel by Guodong Shi, Yanlei Gong, Mingxu Yi

“…In this paper, we present a numerical scheme for finding numerical solution of a class of weakly singular nonlinear fractional integro-differential equations. …”
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A Novel Differential Evolution Invasive Weed Optimization Algorithm for Solving Nonlinear Equations Systems by Yongquan Zhou, Qifang Luo, Huan Chen

“…In view of the traditional numerical method to solve the nonlinear equations exist is sensitive to initial value and the higher accuracy of defects. …”
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Nonlinear Pounding Analysis of Multispan and Simply Supported Beam Bridges Subjected to Strong Ground Motions by Hong-Yu Jia, Xian-Lin Lan, Nan Luo, Jian Yang, Shi-Xiong Zheng, Chao Zhang

“…To investigate the nonlinear impact effect of multispan simply supported beam bridges under strong earthquakes, firstly, the dynamic motion equation, the algorithm of its solution, and some pounding modelling methods are presented and the finite element model of a considered multispan simply supported railway beam bridge is established in the nonlinear finite element software of SAP2000 in which the primary nonlinear characteristics of the bearing and the impact element are considered herein. …”
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Optimum Design of truss structures considering nonlinear analysis and dynamic loading using metaheuristic algorithms by Bárbara Scardini Domingues, Marcos Antônio Campos Rodrigues, Élcio Cassimiro Alves

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A New Adaptive Square-Root Unscented Kalman Filter for Nonlinear Systems with Additive Noise by Yong Zhou, Chao Zhang, Yufeng Zhang, Juzhong Zhang

“…This paper describes a new adaptive filtering approach for nonlinear systems with additive noise. Based on the square-root unscented KF (SRUKF), traditional Maybeck’s estimator is modified and extended to nonlinear systems. …”
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Blow-Up of Solutions for a Class of Sixth Order Nonlinear Strongly Damped Wave Equation by Huafei Di, Yadong Shang

“…We consider the blow-up phenomenon of sixth order nonlinear strongly damped wave equation. By using the concavity method, we prove a finite time blow-up result under assumptions on the nonlinear term and the initial data.…”
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Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space by Ravi P. Agarwal, Donal O'Regan

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Existence for Eventually Positive Solutions of High-Order Nonlinear Neutral Differential Equations with Distributed Delay by Huanhuan Zhao, Youjun Liu, Jurang Yan

“…We consider the existence for eventually positive solutions of high-order nonlinear neutral differential equations with distributed delay. …”
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Supercritical Nonlinear Vibration of a Fluid-Conveying Pipe Subjected to a Strong External Excitation by Yan-Lei Zhang, Hui-Rong Feng, Li-Qun Chen

“…Nonlinear vibration of a fluid-conveying pipe subjected to a transverse external harmonic excitation is investigated in the case with two-to-one internal resonance. …”
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Existence and Iterative Algorithm of Solutions for a System of Generalized Nonlinear Mixed Variational-Like Inequalities by Yan-Mei Du

“…We introduce and study a system of generalized nonlinear mixed variational-like inequality problems (SGNMVLIPs) in Banach spaces. …”
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