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

“…The nonlinear term can easily be handled with the help of Adomian polynomials. …”
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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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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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Theoretical and Numerical Analysis of Coupled Axial-Torsional Nonlinear Vibration of Drill Strings by Xinye Li, Tao Yu, Lijuan Zhang, Hao Zeng, Congcong Duan

“…Based on a lumped parameter model with two degrees of freedom, the periodic response of the coupled axial-torsional nonlinear vibration of drill strings is studied by HB-AFT (harmonic balance and alternating frequency/time domain) method and numerical simulations. …”
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Exploring the nonlinear coded superposed modulation MISO visible light communication system by Zengyi XU, Wenqing NIU, Hui CHEN, Zhixue HE, Nan CHI

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Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary Condition by Qiansheng Tang, Chaofeng Li, Bangchun Wen

“…Forced vibration of thin-wall cylindrical shell under nonlinear boundary condition was discussed in this paper. …”
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A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems by Mohammad Hossein Daliri Birjandi, Jafar Saberi-Nadjafi, Asghar Ghorbani

“…An efficient iteration method is introduced and used for solving a type of system of nonlinear Volterra integro-differential equations. …”
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Some New Generalized Retarded Gronwall-Like Inequalities and Their Applications in Nonlinear Systems by Haiyong Qin, Xin Zuo, Jianwei Liu

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Nonlinear Dynamics of Helicopter Planetary Gear-rotor System Caused by Stiffness Variation by Lanlan Hou, Mingqiang Li, Guosheng Wang, Lingyun Lai, Hao Chen, Yuping Huang

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Nonlinear Dynamics in the Solow Model with Bounded Population Growth and Time-to-Build Technology by Luca Guerrini, Mauro Sodini

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