Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary Dissipation by Shun-Tang Wu, Hsueh-Fang Chen

“…We consider a nonlinear viscoelastic wave equation , with nonlinear boundary damping in a bounded domain . …”
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Finite-Time Stabilization for p-Norm Stochastic Nonlinear Systems with Output Constraints by Shijun Guan, Liandi Fang

“…This paper investigates the finite-time stability problem of p-norm stochastic nonlinear systems subject to output constraint. To cope with the constraint on system output, a tan-type barrier Lyapunov function (BLF) is constructed. …”
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Efficient data-driven predictive control of nonlinear systems: A review and perspectives by Xiaojie Li, Mingxue Yan, Xuewen Zhang, Minghao Han, Adrian Wing-Keung Law, Xunyuan Yin

“…However, the growing complexity and nonlinearity of modern industrial systems present significant challenges for both first-principles modeling and real-time implementation of typical non-convex optimization associated with conventional MPC designs based on nonlinear models. …”
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Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces by Binayak S. Choudhury, Erdal Karapınar, Amaresh Kundu

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Output Feedback Variable Structure Control Design for Uncertain Nonlinear Lipschitz Systems by Jeang-Lin Chang, Tsui-Chou Wu

“…This paper develops a full-order compensator-based output feedback variable structure control law for uncertain nonlinear Lipschitz systems having matched perturbations. …”
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The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations by Yanli Chen, Yongxiang Li

“…We consider the existence of positive solutions for the nonlinear fractional differential equations boundary value problem -D0+αu(t)=f(t,u(t)),   0<t<1,  u(0)=u'(0)=u'(1)=0, where 2<α≤3 is a real number, D0+α is the Riemann-Liouville fractional derivative of order α, and f is a given continuous function. …”
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Numerical approximation for algorithmic tangent moduli for nonlinear viscoelastic model with CSDA method by Xinggui Fan, Jinsheng Xu, Xiong Chen

“…Abstract This work revisits the notion of complex step derivative approximation (CSDA) and presents its use in constitutive model of a class of nonlinear viscoelastic materials. The effectiveness of a CSDA is evaluated by putting it through a series of straightforward examples. …”
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Estimation of High Structural Reliability Involving Nonlinear Dependencies Based on Linear Correlations by Liulin Kong, Heng Li, Bo Zhang, Hanbin Luo

“…Stochastic nonlinear dependencies have been reported extensively between different uncertain parameters or in their time or spatial variance. …”
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PRIMARY RESONANCE OF THE BEARING ROTOR SYSTEM WEAK NONLINEAR ANALYSIS OF A MOTOR by YANG ZhiAn, MENG JiaJia

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Controller Design Based on Echo State Network with Delay Output for Nonlinear System by Xianshuang Yao, Siyuan Fan, Bo Zhao, Shengxian Cao

“…For the nonlinear systems with delay output, the control performance of the system is affected by the previous output of the system, such as crawling robots of photovoltaic panels. …”
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Nonlinear Seismic Response Analysis of Curved and Skewed Bridge System with Spherical Bearings by Junwon Seo, Daniel G. Linzell, Jong Wan Hu

“…A three-dimensional (3D) modeling approach to investigate nonlinear seismic response of a curved and skewed bridge system is proposed. …”
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On the Existence of Ground State Solutions of the Periodic Discrete Coupled Nonlinear Schrödinger Lattice by Meihua Huang, Zhan Zhou

“…We study the existence of ground state solutions of the periodic discrete coupled nonlinear Schrödinger lattice by using the Nehari manifold approach combined with periodic approximations. …”
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Positive Solution for the Nonlinear Hadamard Type Fractional Differential Equation with p-Laplacian by Ya-ling Li, Shi-you Lin

“…We study the following nonlinear fractional differential equation involving the p-Laplacian operator DβφpDαut=ft,ut, 1<t<e, u1=u′1=u′e=0, Dαu1=Dαue=0, where the continuous function f:1,e×0,+∞→[0,+∞), 2<α≤3, 1<β≤2. …”
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Nonlinear finite element analysis of equivalent Iwan model considering threaded connections by Litai Sun, Ling Li, Xiaochan Gao

“…Abstract Aiming at the complex geometric nonlinearity and contact behavior of threaded connections, this study proposes a novel approach by constructing a finite element model equivalent to the Iwan model for nonlinear analysis. …”
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Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations by Fukang Yin, Junqiang Song, Xiaoqun Cao, Fengshun Lu

“…Block pulse functions are used to calculate the Legendre wavelets coefficient matrices of the nonlinear terms. The main advantage of the new method is that it can avoid solving the nonlinear algebraic system and symbolic computation. …”
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Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type by K. Balachandran, J.-H. Kim

“…We establish sufficient conditions for the existence and uniqueness of random solutions of nonlinear Volterra-Fredholm stochastic integral equations of mixed type by using admissibility theory and fixed point theorems. …”
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On Some Iterative Methods with Memory and High Efficiency Index for Solving Nonlinear Equations by Tahereh Eftekhari

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Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential Function by Ni Song, Yakui Xue

“…The rogue waves of the nonlinear Schrödinger equation with time-dependent linear potential function are investigated by using the similarity transformation in this paper. …”
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Positive Solutions for Fourth-Order Nonlinear Differential Equation with Integral Boundary Conditions by Qi Wang, Yanping Guo, Yude Ji

“…This paper investigates the existence and nonexistence of positive solutions for a class of fourth-order nonlinear differential equation with integral boundary conditions. …”
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On the square-root approximation finite volume scheme for nonlinear drift-diffusion equations by Cancès, Clément, Venel, Juliette

“…We study a finite volume scheme for the approximation of the solution to convection diffusion equations with nonlinear convection and Robin boundary conditions. …”
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