On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent by Guoqing Zhang, Hongtao Zhang

“…Based on truncation technique and priori estimates, we prove the existence and uniqueness of weak solution for a class of anisotropic nonlinear elliptic equations with variable exponent p(x)→ growth. …”
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Note on Some Nonlinear Integral Inequalities and Applications to Differential Equations by Khaled Boukerrioua

“…Using ideas from Boukerrioua and Guezane-Lakoud (2008), some nonlinear integral inequalities are established.…”
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On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations by Usamah S. Al-Ali, Ashfaque H. Bokhari, A. H. Kara, F. D. Zaman

“…We carry out a classification of Lie symmetries for the (2+1)-dimensional nonlinear damped wave equation utt+fuut=div(gugrad u) with variable damping. …”
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Experimental Investigation on Nonlinear Flow Anisotropy Behavior in Fracture Media by Chun Zhu, Xiaoding Xu, Xiuting Wang, Feng Xiong, Zhigang Tao, Yun Lin, Jing Chen

“…According to the flow tortuosity effect, the nonlinear flow was characterized by hydraulic tortuosity and surface tortuosity power law relationships based on Forchheimer’s law. …”
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A Class of Nonlinear Integral Operators Preserving Double Subordinations by Oh Sang Kwon, Nak Eun Cho

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Nonlinear Optics in Two-Dimensional Magnetic Materials: Advancements and Opportunities by Ziqian Xin, Bingyuan Xue, Wenbo Chang, Xinping Zhang, Jia Shi

“…Nonlinear optics, a critical branch of modern optics, presents unique potential in the study of two-dimensional (2D) magnetic materials. …”
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Robust Fault Diagnosis Algorithm for a Class of Nonlinear Systems by Hai-gang Xu, Yue-feng Liao, Xiao Han

“…A kind of robust fault diagnosis algorithm to Lipschitz nonlinear system is proposed. The novel disturbances constraint condition of the nonlinear system is derived by group algebra method, and the novel constraint condition can meet the system stability performance. …”
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NONLINEAR PROOF-OF-WORK: IMPROVING THE ENERGY EFFICIENCY OF BITCOIN MINING by Riaan Bezuidenhout, Wynand Nel, Andries Burger

Subjects: “…Bitcoin, bitcoin mining, consensus algorithm, nonlinear proof-of-work, proof-of-work…”
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On the Support of Solutions to a Two-Dimensional Nonlinear Wave Equation by Wenbin Zhang, Jiangbo Zhou, Lixin Tian, Sunil Kumar

“…It is shown that if u is a sufficiently smooth solution to a two-dimensional nonlinear wave equation such that there exists L>0 with supp u(i)⊆[−L,L]×[−L,L], for i=0,1, then u≡0.…”
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A New Hybrid Algorithm for Convex Nonlinear Unconstrained Optimization by Eman T. Hamed, Huda I. Ahmed, Abbas Y. Al-Bayati

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Dynamics of Stochastic Coral Reefs Model with Multiplicative Nonlinear Noise by Zaitang Huang

“…Little seems to be known about the ergodicity of random dynamical systems with multiplicative nonlinear noise. This paper is devoted to discern asymptotic behavior dynamics through the stochastic coral reefs model with multiplicative nonlinear noise. …”
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The Stable Equilibrium Analysis of Nonlinear Renewable Resource Stock Evolution by Gökhan Güven, Selim İnançli

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Crack detection in beam-like structures by nonlinear harmonic identification by Paolo Casini, Fabrizio Vestroni, Oliviero Giannini

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Nonresonance conditions for fourth order nonlinear boundary value problems by C. De Coster, C. Fabry, F. Munyamarere

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Adaptive Control for Nonlinear Systems with Time-Varying Control Gain by Alejandro Rincon, Fabiola Angulo

“…We propose a scheme for nonlinear plants with time-varying control gain and time-varying plant coefficients, on the basis of a plant model consisting of a Brunovsky-type model with polynomials as approximators. …”
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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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ANALYSIS OF NONLINEAR TRANSIENT DYNAMIC RESPONSE FOR EXPLOSION-PROOF BOX by LIU XiaoDong, JIN BinBin, ZHU Danan

“…Completed the transient dynamic response analysis in nonlinear material model based on MSC Nastran SOL400 module. …”
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Research of Nonlinear Dynamic Characteristic of the Roller Movable Tooth Drive by Wang Zhigang, Pu Yunguo

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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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