The Existence of Positive Solution of a Nonlinear Problem on Unit Circle by Na Wei, Yanli Zhou, Xiangyu Ge

“…We consider the following nonlinear problem u″x+λux+fx,u=0, x∈S1, (P) where S1 is a unit circle, λ∈ℝ is a parameter, and fx,u is a nonlinearity. …”
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Existence of nodal solutions of nonlinear Lidstone boundary value problems by Meng Yan, Tingting Zhang

“…We investigate the existence of nodal solutions for the nonlinear Lidstone boundary value problem \begin{document}$ \begin{align} \left\{\begin{array}{ll} (-1)^m (u^{(2m)}(t)+c u^{(2m-2)}(t)) = \lambda a(t)f(u), \; \; \ \ \ t\in (0, r), \\ u^{(2i)}(0) = u^{(2i)}(r) = 0, \ \ i = 0, 1, \cdots, m-1, \end{array} \right.…”
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On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs by F. N. Koumboulis, M. G. Skarpetis, B. G. Mertzios

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U-Model and U-Control Methodology for Nonlinear Dynamic Systems by Weicun Zhang, Quanmin Zhu, Saleh Mobayen, Hao Yan, Ji Qiu, Pritesh Narayan

“…It should be noted that (1) this U-control provides a universal control system design platform for many existing linear/nonlinear and polynomial/state-space models and (2) it complements many existing design approaches. …”
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Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations by Farooq Ahmed Shah, Maslina Darus, Imran Faisal, Muhammad Arsalan Shafiq

“…Various problems of pure and applied sciences can be studied in the unified framework of nonlinear equations. In this paper, a new family of iterative methods for solving nonlinear equations is developed by using a new decomposition technique. …”
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Sublinear Expectation Nonlinear Regression for the Financial Risk Measurement and Management by Yunquan Song, Lu Lin

“…In this paper, a sublinear expectation nonlinear regression is defined, and its identifiability is obtained. …”
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Nonlinear Vibration Analysis of Rotor considering Cogging and Harmonic Effects by Shanle Li, Feng Liu, Hongyan Wang, Haijun Song, Kuilong Yu

“…This paper aims to investigate nonlinear vibration characteristics of rotor system considering cogging and harmonic effects. …”
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On the existence of equilibrium states of an elastic beam on a nonlinear foundation by M. B. M. Elgindi, D. H. Y. Yen

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Optimization on Nonlinear Dynamics of Gear Rattle in Automotive Transmission System by Mingxuan Liang, Ying Wang, Tian Zhao

“…Optimization methods based on nonlinear rattle dynamic analysis are worthy of further study to control the noise. …”
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Nonlinear Matrix Ferroelectric Composites on Construction Quality and Safety Measures by Danping Hu, Gongxing Yan, Hongquan Sun

“…Therefore, this study mainly studies the influence laws of viscoelasticity, elastic viscoplasticity, and macro mechanical behavior of nonlinear matrix ferroelectric composites. Through theoretical analysis and experiments, it is concluded that the change of effective stress relaxation stiffness of nonlinear matrix ferroelectric composites tends to be stable with the increase of time, and the effective stress relaxation stiffness of composites increases with the increase of age volume fraction at t = 0 s.…”
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Blowup of Solution for a Class of Doubly Nonlinear Parabolic Systems by Jun Lu, Qingying Hu, Hongwei Zhang

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HIGHER ECONOMIC EDUCATION IN CONCEPTS OF SYNERGETIC PARADIGM NONLINEAR THINKING by Tatiyana V. Kichkiruk

“…The purpose is to investigate the potential of synergetic paradigm of nonlinear thinking to improve the quality of higher economic education in Ukraine. …”
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Exact Solutions for Nonlinear Wave Equations by the Exp-Function Method by Mingsheng Hu, Zhijuan Jia, Qiaoling Chen, Suiming Jia

“…This paper elucidates the main advantages of the exp-function method in finding exact solutions of nonlinear wave equations. By the aid of some mathematical software, the solution process becomes extremely simple and accessible.…”
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Investigation of Sliding Mode Control in the Nonlinear Modeling of Cordless Jigsaws by Sándor Apáti, György Hegedűs, Sándor Hajdu, Péter Korondi

“…The proposed controller reduces overcurrent consumption, improves system energy efficiency, and effectively maximizes battery runtime, especially under high-load conditions. By applying nonlinear compensation techniques, the controller can ensure smooth motor operation, reduce mechanical stress, and prolong tool life. …”
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Nonlinear Pulse Vaccination in an SIR Epidemic Model with Resource Limitation by Wenjie Qin, Sanyi Tang, Robert A. Cheke

“…Here we propose and analyse an SIR epidemic model with a nonlinear pulse vaccination to examine how a limited vaccine resource affects the transmission and control of infectious diseases, in particular emerging infectious diseases. …”
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Finite element estimates for a class of nonlinear variational inequalities by Muhammad Aslam Noor

“…As a special case, we obtain the well-known error estimates for the corresponding linear obstacle problem and nonlinear problems.…”
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The Quantum Analysis of Nonlinear Optical Parametric Processes with Thermal Reservoirs by Tamirat Abebe, Nebiyu Gemechu, Chimdessa Gashu, Kebede Shogile, Solomon Hailemariam, Shimelis Adisu

“…Despite the fact that the entanglement and squeezing decrease with the increment of the mean photon number of the thermal reservoir, strong amount of these nonclassical properties can be generated for a considerable amount of thermal noise with the help of the nonlinear crystal introduced into the laser cavity. …”
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All-dielectric nonlinear metasurface: from visible to vacuum ultraviolet by Zhihui Wang, Rong Lin, Jin Yao, Din Ping Tsai

“…Abstract All-dielectric nonlinear metasurfaces have higher damage thresholds and more flexible manipulation of resonant modes. …”
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A Convenient Adomian-Pade Technique for the Nonlinear Oscillator Equation by Na Wei, Cheng-Xi Liu, Teng Hu, Fu-Cai You

“…Then, the combined method is applied to nonlinear models and the residual functions illustrate the accuracies and conveniences.…”
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Oscillatory Behaviour of the Nonlinear Damped Fractional Partial Dynamic Equation by R. Ramesh, S. Harikrishnan, P. Prakash, Yong-Ki Ma

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