Nonexistence Results for Some Classes of Nonlinear Fractional Differential Inequalities by Mohamed Jleli, Bessem Samet

“…We study the nonexistence of global solutions for new classes of nonlinear fractional differential inequalities. Namely, sufficient conditions are provided so that the considered problems admit no global solutions. …”
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Linear and Nonlinear Schemes Applied to Pitch Control of Wind Turbines by Hua Geng, Geng Yang

“…Linear controllers have been employed in industrial applications for many years, but sometimes they are noneffective on the system with nonlinear characteristics. This paper discusses the structure, performance, implementation cost, advantages, and disadvantages of different linear and nonlinear schemes applied to the pitch control of the wind energy conversion systems (WECSs). …”
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Nonlinear Stability of the Bipolar Navier-Stokes-Poisson System with Boundary by Tiantian Yu, Yong Li

“…The combined quasineutral and zero-viscosity limits of the bipolar Navier-Stokes-Poisson system with boundary are rigorously proved by establishing the nonlinear stability of the approximate solutions. Based on the conormal energy estimates, we showed that the solutions for the original system converge strongly in H3 space towards the solutions of the one-fluid compressible Euler system as long as the amplitude of the boundary layers is small enough.…”
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Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation by M. M. El-Dessoky, E. M. Elabbasy, Asim Asiri

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On the Ground State to Hamiltonian Elliptic System with Choquard’s Nonlinear Term by Wenbo Wang, Jianwen Zhou, Yongkun Li

“…In the present paper, we consider the following Hamiltonian elliptic system with Choquard’s nonlinear term −Δu+Vxu=∫ΩGvy/x−yβdygv in Ω,−Δv+Vxv=∫ΩFuy/x−yαdyfu in Ω,u=0,v=0 on ∂Ω,where Ω⊂ℝN is a bounded domain with a smooth boundary, 0<α<N, 0<β<N, and F is the primitive of f, similarly for G. …”
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The Hamiltonian Structure-Preserving Control and Some Applications to Nonlinear Astrodynamics by Ming Xu, Yan Wei, Shengli Liu

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A Class of Steffensen-Type Iterative Methods for Nonlinear Systems by F. Soleymani, M. Sharifi, S. Shateyi, F. Khaksar Haghani

“…A class of iterative methods without restriction on the computation of Fréchet derivatives including multisteps for solving systems of nonlinear equations is presented. By considering a frozen Jacobian, we provide a class of m-step methods with order of convergence m+1. …”
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X-Parameter Measurement of Pulse-Compression Nonlinear Transmission Lines by Ming Li, Rony E. Amaya, Robert G. Harrison, N. Garry Tarr

“…This paper introduces a new X-parameter application: measuring large-signal behaviour of pulse-compression nonlinear transmission lines (NLTLs). A specially configured Nonlinear Vector Network Analyzer (NVNA) was used to measure the X-parameters in the frequency-domain, and then the measured data was transformed into a nonlinear time-domain waveform. …”
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Self-Similarity Analysis of the Nonlinear Schrödinger Equation in the Madelung Form by Imre F. Barna, Mihály A. Pocsai, L. Mátyás

“…The obtained system of differential equations is highly nonlinear. Regarding the solutions, a larger coefficient of the nonlinear term yields stronger deviation of the solution from the linear case.…”
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Fractional integral approach on nonlinear fractal function and its application by C. Kavitha, A. Gowrisankar

“…Moreover, a reconstitution of epidemic curves from the perspective of a nonlinear fractal interpolation function was presented, and a comparison between the graphs of linear and nonlinear fractal functions was discussed.…”
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Nonlinear Finite Element Techniques Using an Object-Oriented Code by Brian C. Mansfield

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Generalized Predator-Prey Model with Nonlinear Impulsive Control Strategy by Wenjie Qin, Guangyao Tang, Sanyi Tang

“…A generalized predator-prey model concerning integrated pest management and nonlinear impulsive control measures is proposed and analyzed. …”
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Properties of solutions to a second order nonlinear differential equation by Allan J. Kroopnick

“…In this note, we show when all solutions to the nonlinear differential equation x″+c(t)f(x)g(x′)x′+a(t,x)=0 are bounded. …”
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Determination of the response of a class of nonlinear time invariant systems by Sudhangshu B. Karmakar

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From Domain Decomposition to Model Reduction for Large Nonlinear Structures by Leturcq, Bertrand, Le Tallec, Patrick

“…The model at subdomain level solves the full elastic problem but with a reduced nonlinear loading, based on simplified boundary conditions, reduced creep flow rules, projected sign preserving contact conditions, and a NTFA like reduced friction law to get the evolution of each slipping mode. …”
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On the Solution of a Class of Nonlinear Systems Governed by an 𝑀-Matrix by Woula Themistoclakis, Antonia Vecchio

“…We consider a weakly nonlinear system of the form (𝐼+𝜑(𝑥)𝐴)𝑥=𝑝, where 𝜑(𝑥) is a real function of the unknown vector 𝑥, and (𝐼+𝜑(𝑥)𝐴) is an 𝑀-matrix. …”
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Solving Nonlinear Partial Differential Equations by the sn-ns Method by Alvaro H. Salas

“…We present the application of the sn-ns method to solve nonlinear partial differential equations. We show that the well-known tanh-coth method is a particular case of the sn-ns method.…”
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Nonlinear Control and Synchronization with Time Delays of Multiagent Robotic Systems by Yassine Bouteraa, Jawhar Ghommam, Nabil Derbel, Gérard Poisson

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Lp Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems by Na Wei, Xiangyu Ge, Yonghong Wu, Leina Zhao

“…This paper is devoted to the Lp estimates for weak solutions to nonlinear degenerate parabolic systems related to Hörmander’s vector fields. …”
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Effect of Lower Surface Roughness on Nonlinear Hydraulic Properties of Fractures by Jinglong Li, Xianghui Li, Bo Zhang, Bin Sui, Pengcheng Wang, Mi Zhang

“…This study investigates the effect of fracture lower surface roughness on the nonlinear flow behaviors of fluids through fractures when the aperture fields are fixed. …”
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