Existence of solutions for a class of BVPs on the half-line by Souad Ayadi, Ozgur Ege

“…In this paper, we establish sufficient conditions to guarantee some existence results of nontrivial solutions for a class of nonlinear boundary value problem posed on an unbounded interval of ℝH1(0,∞)Cl,p ( [0,+∞))…”
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Oscillation Behavior of a Class of Second-Order Dynamic Equations with Damping on Time Scales by Weisong Chen, Zhenlai Han, Shurong Sun, Tongxing Li

“…By using a Riccati transformation and inequality, we present some new oscillation theorems for the second-order nonlinear dynamic equation with damping on time scales. …”
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New Periodic Solutions for a Class of Zakharov Equations by Cong Sun, Shuguan Ji

“…Through applying the Jacobian elliptic function method, we obtain the periodic solution for a series of nonlinear Zakharov equations, which contain Klein-Gordon Zakharov equations, Zakharov equations, and Zakharov-Rubenchik equations.…”
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The Global Weak Solution for a Generalized Camassa-Holm Equation by Shaoyong Lai

“…A nonlinear generalization of the famous Camassa-Holm model is investigated. …”
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From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like Spaces by Mohamed Jleli, Bessem Samet, Calogero Vetro, Francesca Vetro

“…We discuss the extension of some fundamental results in nonlinear analysis to the setting of 0σ-complete metric-like spaces. …”
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On the Convergence of Solutions of Certain Third-Order Differential Equations by Ercan Tunç

“…We establish sufficient conditions for the convergence of solutions of a certain third-order nonlinear differential equations. By constructing a Lyapunov function as the basic tool, some results which exist in the relevant literature are generalized.…”
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Research of the Dynamic Characteristic of Space Symmetrical Development Mechanism with Clearance Joint by Xupeng Wang, Geng Liu, Shangjun Ma, Ruiting Tong

“…Meanwhile, with the influence of clearance joints, the space development mechanism also appearance nonlinear phenomenon during development process, and the larger clearance size, the more obvious effects of driving load on the dynamic response of the mechanism, even lead the mechanism from stable state to non-linearity again.…”
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Universality and scaling in networks of period-doubling maps with a pacemaker by Anna S. Ivanova, Sergey P. Kuznetsov, Andrew H. Osbaldestin

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Dust Acoustic Shock Waves in Strongly Coupled Dusty Plasmas with Superthermal Electrons and Ions by Hamid Reza Pakzad

“…In fact as long as the dispersive term and the dissipative term as well as the nonlinear term are balanced, the shock wave structure forms; otherwise, the soliton forms due to the balance between the dispersive term and the nonlinear term. …”
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Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit by A. G. Radwan, K. Moaddy, I. Hashim

“…The concept of the proposed technique is based on the nonlinear control theory and Lyapunov stability theory. …”
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Importance of Activation Energy on Magnetized Dissipative Casson-Maxwell Fluid through Porous Medium Incorporating Chemical Reaction, Joule Heating, and Soret Effects: Numerical St... by Nesreen Althobaiti

“…In addition, the consequences of both viscous dissipation, Joule heating, and nonlinear thermal radiation are considered. The method transforms partial differential equations originating in fluidic systems into nonlinear differential equation systems with the proper degree of similarity which is subsequently resolved utilizing the Lobatto IIIA technique’s powerful computing capabilities. …”
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ANALYSIS OF THE INTERNAL RESONANCE CHARACTERISTICS OF RECTANGULAR CURRENT-CONDUCTING THIN PLATE IN TRANSVERSE MAGNETIC FIELD by LI Jing, HU YuDa

“…The results show that the system presents obvious nonlinear internal resonance characteristics.…”
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Analysis of Kinetic Positional Solution and Workspace of Pure Translational 3-UPU Parallel Mechanism based on Matlab by Zhiqiang Zhu, Yanhong Xiong

“…By this approach， the solution of nonlinear kinetic equations of parallel mechanism can be found effectively without giving initial values. …”
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Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory by Marius Lemm, Simone Rademacher

“…Our finding spotlights a new problem in nonlinear dispersive PDE with implications for quantum many-body chaos.…”
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A Modified Equation Approach to Selecting a Nonstandard Finite Difference Scheme Applied to the Regularized Long Wave Equation by E. Momoniat

“…The criteria for choosing the “best” nonstandard approximation to the nonlinear term in the regularized long wave equation come from considering the modified equation. …”
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Effect of Size Distribution on the Dust Acoustic Solitary Waves in Dusty Plasma with Two Kinds of Nonthermal Ions by Samira Sharif Moghadam, Davoud Dorranian

“…Effect of dust size, mass, and charge distributions on the nonlinear dust acoustic solitary waves (DASWs) in a dusty plasma including negatively charged dust particles, electrons, and nonthermal ions has been studied analytically. …”
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Heat Transfer Analysis on the Hiemenz Flow of a Non-Newtonian Fluid: A Homotopy Method Solution by Yasir Khan, Zdeněk Šmarda

“…The governing equations are transformed into dimensionless nonlinear ordinary differential equations by similarity transformation. …”
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Concrete constructions of 2-resilient rotation symmetric Boolean functions with 7 variables by Jiao DU, Lin LI, Ziwei ZHAO, Yueyue LI, Tianyin WANG

“…Based on the properties of the 2-tuples distribution matrix of the rotation symmetric orbits, all 7-variable 2-resilient rotation symmetric Boolean functions were constructed concretely.The results show that there are only 280 nonlinear 2-resilient rotation symmetric Boolean functions over <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mi mathvariant="double-struck">F</mi> <mn>2</mn> <mn>7</mn> </msubsup> </math></inline-formula>.Furthermore, there are at least 280 nonlinear 2-resilient rotation symmetric Boolean functions over <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <msubsup> <mi mathvariant="double-struck">F</mi> <mn>2</mn> <mrow> <mn>7</mn><mi>k</mi></mrow> </msubsup> </math></inline-formula> for any odd number k.…”
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Research on House Price Prediction based on Machine Learning by Yang Xiangjun

“…In recent years, machine learning techniques have shown remarkable potential in house price prediction, as these models can mine the complex nonlinear correlations in large amounts of historical data to produce more detailed and accurate predictions. …”
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PARAMETER ESTIMATION AND CONFIDENCE LIMIT CALCUALTION METHOD OF THREE-PARAMETER WEIBULL DISTRIBUTION by ZHANG JianFeng, XU Fang, ZHANG Yan, HUANG XiaoBo, JIA ZhuoHan

“…A correlation-regression method was proposed to solve the problem of low accuracy of parameter estimation and confidence limit calculation of the three-parameter Weibull distribution.The method was combined by the correlation coefficient method （Fu method） and the nonlinear regression method which makes full use of the convenience of Fu method and the excellent estimation effect of the nonlinear regression method in estimating the three-parameter Weibull distribution.In order to verify the effectiveness of the proposed method，the correlation-regression method，Fu method and Method combining maximum likelihood estimation and empirical formulae (referred to as the “MMPDS method”） were applied to the parameter estimation and confidence limit calculation of the data distribution of a certain alloy strength value with different sample sizes，and calculation consequence of different methods was compared and analyzed.Results show that the correlation-regression method has highest parameter estimation and confidence limit calculation accuracy among the above methods.When the sample size is less than 100，its advantage is more significant，and it can accurately calculate the parameters and confidence limits of the Weibull distribution.…”
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