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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Nonlinear Dynamic Response Analysis of Cable–Buoy Structure Under Marine Environment by Qiufu Xie, Binghan Liu, Junxian Zhang, Yaobing Zhao

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Nonlinear Dynamics Modeling and Subharmonic Resonances Analysis of a Laminated Composite Plate by Ting Ma, Xiao Juan Song, Shu Feng Lu

“…The nonlinear subharmonic resonance of an orthotropic rectangular laminated composite plate is studied. …”
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Almost Periodic Solutions for a Second-Order Nonlinear Equation with Mixed Delays by Mei Xu, Bo Du

“…This paper is devoted to studying a second-order nonlinear equation with mixed delays. Some sufficient conditions for the existence and exponential stability of the almost periodic solutions are established. …”
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Projection Methods for a System of Nonlinear Mixed Variational Inequalities in Banach Spaces by Zhong-Bao Wang, Guo-Ji Tang, Hong-Ling Zhang

“…The existence and uniqueness of solution for a system of nonlinear mixed variational inequality in Banach spaces is given firstly. …”
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Nonlinear Operators in Fixed Point Theory with Applications to Fractional Differential and Integral Equations by Jamshaid Ahmad, Ahmad Saleh Al-Rawashdeh, Talat Nazir, Vahid Parvaneh, Manuel De la Sen

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Relative Nonlinear Measure Method to Exponential Stability of Impulsive Delayed Differential Equations by Xueli Song, Xing Xin, Huiya Dai, Jigen Peng

“…By utilizing relative nonlinear measure method, several global exponential stability criteria are presented for the impulsive delayed differential equations. …”
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Chaotic numerical instabilities arising in the transition from differential to difference nonlinear equations by Alicia Serfaty de Markus

“…For computational purposes, a numerical algorithm maps a differential equation into an often complex difference equation whose structure and stability depends on the scheme used. When considering nonlinear models, standard and nonstandard integration routines can act invasively and numerical chaotic instabilities may arise. …”
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Nonlinear asymptotic stability in $L^\infty $ for Lipschitz solutions to scalar conservation laws by Golding, William

“…In this note, we show nonlinear stability in $L^\infty $ for Lipschitz solutions to genuinely nonlinear, multi-dimensional scalar conservation laws. …”
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STUDY ON NONLINEAR DYNAMICS OF ASYMMETRICAL SUPPORTED ROTOR UNDER INFLUENCE OF HEELING ANGLE by LI Mo, LIU YongBao, WANG Qiang

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Nonlinear Optical Imaging to Evaluate the Impact of Obesity on Mammary Gland and Tumor Stroma by Thuc T. Le, Charles W. Rehrer, Terry B. Huff, Maxine B. Nichols, Ignacio G. Camarillo, Ji-Xin Cheng

“…However, the mechanism that links obesity to tumorigenesis is not well understood. Here we combined nonlinear optical imaging technologies with an early-onset diet-induced obesity breast cancer animal model to evaluate the impact of obesity on the composition of mammary gland and tumor stroma. …”
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Research of Nonlinear Dynamic Characteristics of Shield Machine Multilevel Planetary Gear Train by Ren Jianqing, Yu Qinghuan, Yao Jiantao, Sun Xiaoyu

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Oscillation for a Nonlinear Dynamic System with a Forced Term on Time Scales by Xinli Zhang, Shanliang Zhu

“…We consider a class of two-dimensional nonlinear dynamic system with a forced term on a time scale 𝕋 and obtain sufficient conditions for all solutions of the system to be oscillatory. …”
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Reachable Set Bounding for a Class of Nonlinear Time-Varying Systems with Delay by Xingao Zhu, Yuangong Sun, Fanwei Meng

“…We investigate the problem of reachable set bounding for a class of continuous-time and discrete-time nonlinear time-varying systems with time-varying delay. …”
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