Large Solutions for Semilinear Parabolic Equations Involving Some Special Classes of Nonlinearities by Constantin P. Niculescu, Ionel Rovenţa

“…We consider a new class of nonlinearities for which a nonlocal parabolic equation with Neumann boundary conditions has finite time blow-up solutions. …”
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Adaptive Fault-Tolerant Tracking Control of Nonaffine Nonlinear Systems with Actuator Failure by Hongcheng Zhou, Dezhi Xu, Daobo Wang, Le Ge

“…This paper proposes an adaptive fault-tolerant control scheme for nonaffine nonlinear systems. A model approximation method which is a solution that bridges the gap between affine and nonaffine control systems is developed firstly. …”
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Global attractivity of a higher order nonlinear difference equation with decreasing terms by Xiao Wang, Chuanxi Qian

Subjects: “…higher order nonlinear difference equation…”
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Three-Dimensional Nonlinear Seismic Response of Shield Tunnel Spatial End Structure by Yijing Lu, Yongsheng Song, Yanzhen Wang, Jiale Yuan

“…The results show that the shield tunnel spatial end structure increases nonlinearly in response to the increase of seismic motion intensity. …”
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Effects of Surface Waviness on the Nonlinear Vibration of Gas Lubricated Bearing-Rotor System by Jian Li, Shaoqi Yang, Xiaoming Li, Qing Li

“…This paper presents the effects of the surface waviness on the nonlinear dynamic performance of a gas bearing-rotor system. …”
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Retracted: Slope Stability Analysis Using Limit Equilibrium Method in Nonlinear Criterion by The Scientific World Journal

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Application of Sumudu Decomposition Method to Solve Nonlinear System Volterra Integrodifferential Equations by Hassan Eltayeb, Adem Kılıçman, Said Mesloub

“…We develop a method to obtain approximate solutions for nonlinear systems of Volterra integrodifferential equations with the help of Sumudu decomposition method (SDM). …”
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A Nonlinear Prognostic Model Based on the Wiener Process with Three Sources of Uncertainty by Huifang Niu, Jianchao Zeng, Hui Shi, Bin Wang, Tianye Liu

“…To improve PHM and account for the effects of the three sources of uncertainty, a nonlinear prognostic model with three sources of uncertainty is presented here. …”
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An efficient approach for solving a class of nonlinear 2D parabolic PDEs by Dongjin Kim, Wlodek Proskurowski

“…We consider a class of nonlinear 2D parabolic equations that allow for an efficient application of an operator splitting technique and a suitable linearization of the discretized problem. …”
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A Comparison Theorem for Oscillation of the Even-Order Nonlinear Neutral Difference Equation by Quanxin Zhang

“…A comparison theorem on oscillation behavior is firstly established for a class of even-order nonlinear neutral delay difference equations. By using the obtained comparison theorem, two oscillation criteria are derived for the class of even-order nonlinear neutral delay difference equations. …”
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Dynamical Analysis of SIR Epidemic Model with Nonlinear Pulse Vaccination and Lifelong Immunity by Wencai Zhao, Juan Li, Xinzhu Meng

“…SIR epidemic model with nonlinear pulse vaccination and lifelong immunity is proposed. …”
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A Multimode Approach to Geometrically Nonlinear Free and Forced Vibrations of Multistepped Beams by Issam El Hantati, Ahmed Adri, Hatim Fakhreddine, Said Rifai, Rhali Benamar

“…The scope of this study is to present a contribution to the geometrically nonlinear free and forced vibration of multiple-stepped beams, based on the theories of Euler–Bernoulli and von Karman, in order to calculate their corresponding amplitude-dependent modes and frequencies. …”
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A review of implicit algebraic constitutive relations for describing the response of nonlinear fluids by Rajagopal, Kumbakonam

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Nonlinear dynamic evolution of a novel normalized time-fractional Burgers equation by Junseok Kim

Subjects: “…Nonlinear dynamic evolution…”
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Necessary Conditions for the Existence of Global Solutions to Nonlinear Fractional Differential Inequalities and Systems by Ibtisam Aldawish, Bessem Samet

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Parametric and self-excited oscillations under nonlinear parametric action and lag in elasticity by Alifov Alishir

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Determination of a nonlinear source term in a diffusion equation with final observations by Gongsheng Li, Yichen Ma, Kaitai Li

“…This paper deals with an inverse problem of determining a nonlinear source term in a quasilinear diffusion equation with overposed final observations. …”
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Existence Results for a Coupled System of Nonlinear Fourth-Order Differential Equations by Bessem Samet

“…Sufficient conditions are obtained for the existence of solutions to a coupled system of nonlinear fourth-order differential equations.…”
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Observer-Based Sliding Mode Control for Stochastic Nonlinear Markovian Jump Systems by Xiaohan Yin, Quanxin Zhu

“…We consider a class of stochastic nonlinear Markovian jump systems (MJSs) with partly unknown transition rate and time-varying delays. …”
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Global Strong Solutions to Some Nonlinear Dirac Equations in Super-Critical Space by Hyungjin Huh

“…We study the initial value problem of some nonlinear Dirac equations which are Lmℝ critical. Corresponding to the structure of nonlinear terms, global strong solutions can be obtained in different Lebesgue spaces by using solution representation formula. …”
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