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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Investigation of Structural Nonlinearity Effects on the Aeroelastic and Wake Characteristics of a 15 MW Wind Turbine by Zhenju Chuang, Lulin Xia, Yan Qu, Wenhua Li, Jiawen Li

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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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Successive Iteration and Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales by Yanbin Sang

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Instability of a Fifth-Order Nonlinear Vector Delay Differential Equation with Multiple Deviating Arguments by Cemil Tunç

“…We study a fifth-order nonlinear vector delay differential equation with multiple deviating arguments. …”
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Numerical Method for Stochastic Nonlinear Schrödinger Equation Driven by Multivariate Gaussian Measure: Algorithms and Applications by Hongling Xie

“…In this paper, we present a novel Galerkin spectral method for numerically solving the stochastic nonlinear Schrödinger (NLS) equation driven by multivariate Gaussian random variables, including the nonlinear term. …”
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An Efficient Numerical Approach for Solving Nonlinear Coupled Hyperbolic Partial Differential Equations with Nonlocal Conditions by A. H. Bhrawy, M. A. Alghamdi, Eman S. Alaidarous

“…One of the most important advantages of collocation method is the possibility of dealing with nonlinear partial differential equations (PDEs) as well as PDEs with variable coefficients. …”
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The inhibitory effect of intraspinal microstimulation of the sacral spinal cord on nonlinear bladder reflex dynamics in cats by Amirhossein Qasemi, Alireza Aminian, Abbas Erfanian

“…Bladder pressure was recorded under isovolumetric conditions, and the stimulation parameters were adjusted to inhibit spontaneous bladder contractions. Nonlinear dynamic methods, including chaos theory, were employed to analyze the complexity of bladder reflexes.ResultsResults demonstrated that ISMS targeting the dorsal horn of the S2 spinal segment effectively suppressed high-amplitude spontaneous contractions. …”
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Adaptive Neural Network Control for Nonlinear Hydraulic Servo-System with Time-Varying State Constraints by Shu-Min Lu, Dong-Juan Li

“…An adaptive neural network control problem is addressed for a class of nonlinear hydraulic servo-systems with time-varying state constraints. …”
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On Existence of Solution for a Class of Semilinear Elliptic Equations with Nonlinearities That Lies between Different Powers by Claudianor O. Alves, Marco A. S. Souto

“…In our approach, we do not need the Ambrosetti-Rabinowitz condition, and the nonlinearity does not satisfy any hypotheses such those required by the blowup method. …”
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