Multiple Solutions for the Discrete p-Laplacian Boundary Value Problems by Yuhua Long, Haiping Shi

“…By employing a critical point theorem, established by Bonanno, we prove the existence of three distinct solutions to boundary value problems of nonlinear difference equations with a discrete p-Laplacian operator. …”
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Existence and Multiplicity Results for a Class of Kirchhoff-Type Equations by Mohammad Reza Heidari Tavani

“…It is important to mention that no asymptotic condition is required in the nonlinear term either at zero or at infinity. Our approach is based on the variational methods and critical point theory.…”
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Locating real eigenvalues of a spectral problem in fluid-solid type structures by Heinrich Voss

“…Exploiting minmax characterizations for nonlinear and nonoverdamped eigenvalue problems, we prove the existence of a countable set of eigenvalues converging to ∞ and inclusion theorems for a rational spectral problem governing mechanical vibrations of a tube bundle immersed in an incompressible viscous fluid. …”
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Synchronization of the Fractional-Order Brushless DC Motors Chaotic System by Shiyun Shen, Ping Zhou

“…Based on the extension of Lyapunov direct method for nonlinear fractional-order systems, chaos synchronization for the fractional-order Brushless DC motors (BLDCM) is discussed. …”
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A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind by Lie-jun Xie

“…The validity and applicability of the new technique are illustrated through several linear and nonlinear equations by comparing with the standard decomposition method and the modified decomposition method. …”
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Moment Lyapunov exponent of delay differential equations by M. S. Fofana

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New Iterative Method Based on Laplace Decomposition Algorithm by Sabir Widatalla, M. Z. Liu

“…We have implemented this method for the solutions of different types of nonlinear pantograph equations to support the proposed analysis.…”
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The Variational Homotopy Perturbation Method for Solving ((n×n)+1) Dimensional Burgers’ Equations by F. A. Hendi, B. S. Kashkari, A. A. Alderremy

“…Some examples are examined to validate that the method reduced the calculation size, treating the difficulty of nonlinear term and the accuracy.…”
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Association of the Ratio of Triglycerides to High-Density Lipoprotein Cholesterol Levels with the Risk of Type 2 Diabetes: A Retrospective Cohort Study in Beijing by Hongzhou Liu, Shuangtong Yan, Gang Chen, Bing Li, Ling Zhao, Yajing Wang, Xiaodong Hu, Xiaomeng Jia, Jingtao Dou, Yiming Mu, Junping Wen, Zhaohui Lyu

“…The aim of this study was to investigate the nonlinear relationship between TG/HDL-C and the incidence of T2DM in a Chinese population. …”
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Existence of extremal periodic solutions for quasilinear parabolic equations by Siegfried Carl

“…The main tools used in the proof of our result are recently obtained abstract results on nonlinear evolution equations, comparison and truncation techniques and suitably constructed special testfunction.…”
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Wave-Breaking Phenomena and Existence of Peakons for a Generalized Compressible Elastic-Rod Equation by Xiaolian Ai, Lingyu Jiang, Ting Yi

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Stability and Bifurcation Analysis of a Three-Dimensional Recurrent Neural Network with Time Delay by Yingguo Li

“…We consider the nonlinear dynamical behavior of a three-dimensional recurrent neural network with time delay. …”
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Temperature stresses in cylindrical ignot at heating in circular furnaces by Ju. S. Postolnik, V. I. Timoshpolskij, Ju. N. Zinchenko, D. N. Andrianov

“…There is received for the first time solution of the problem of nonlinear thermomechanics (heat conduction and thermoelasticity) for the case of heating of cylinder ingots in the counter-current regime. …”
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Fixed Point Property of Variable Exponent Cesàro Complex Function Space of Formal Power Series under Premodular by Awad A. Bakery, Elsayed A. E. Mohamed

“…Finally, real-world examples and applications show solutions to some nonlinear difference equations.…”
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FUZZY LOGIC CONTROLLER IMPLEMENTATION FOR PHOTOVOLTAIC STATION by Imad Zein, Yu. N. Petrenko

“…Solar panels have a nonlinear voltage-current characteristic, with a distinct maximum power point (MPP), which depends on the environmental factors, such as temperature and irradiation. …”
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Coupled Coincidence Point Results for (ψ,α,β)-Weak Contractions in Partially Ordered Metric Spaces by A. Razani, V. Parvaneh

“…In this paper coupled coincidence points of mappings satisfying a nonlinear contractive condition in the framework of partially ordered metric spaces are obtained. …”
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Preventing Noise-Induced Extinction in Discrete Population Models by Irina Bashkirtseva

“…A problem of the analysis and prevention of noise-induced extinction in nonlinear population models is considered. For the solution of this problem, we suggest a general approach based on the stochastic sensitivity analysis. …”
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Exact Solutions for the Conformable Space-Time Fractional Zeldovich Equation with Time-Dependent Coefficients by Sami Injrou

“…The study shows that the used method is effective and reliable and can be utilized as a substitution to construct new solutions of different types of nonlinear conformable fractional partial differential equations (NFPDEs) with variable coefficients.…”
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On Constructing Two-Point Optimal Fourth-Order Multiple-Root Finders with a Generic Error Corrector and Illustrating Their Dynamics by Young Ik Kim, Young Hee Geum

“…With an error corrector via principal branch of the mth root of a function-to-function ratio, we propose optimal quartic-order multiple-root finders for nonlinear equations. The relevant optimal order satisfies Kung-Traub conjecture made in 1974. …”
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Parameter estimation in a structured erythropoiesis model by Azmy S. Ackleh, Jeremy J. Thibodeaux

“…We develop a numerical method for estimating parameters in astructured erythropoiesis model consisting of a nonlinear system ofpartial differential equations. …”
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