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

Subjects: “…Fatigue crack; Damage identification; Nonlinear dynamics; Cracked beam model.…”
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Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients by Xin-Lei Mai, Wei Li, Shi-Hai Dong

“…In this paper, a trial function method is employed to find exact solutions to the nonlinear Schrödinger equations with high-order time-dependent coefficients. …”
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Novel Feature Selection Method for Nonlinear Support Vector Regression by Kejia Xu, Ying Xu, Yafen Ye, Weijie Chen

“…The development of sparse techniques presents a major challenge to complex nonlinear high-dimensional data. In this paper, we propose a novel feature selection method for nonlinear support vector regression, called FS-NSVR, which first attempts to solve the nonlinear feature selection problem in the regression technology field. …”
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A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity by Chunmiao Huang, Wu-Sheng Wang, Xiaoliang Zhou

“…We discuss a class of new nonlinear weakly singular difference inequality, which is solved by change of variable, discrete Hölder inequality, discrete Jensen inequality, the mean-value theorem for integrals and amplification method, and Gamma function. …”
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Finite element-based nonlinear dynamic optimization of nanomechanical resonators by Zichao Li, Farbod Alijani, Ali Sarafraz, Minxing Xu, Richard A. Norte, Alejandro M. Aragón, Peter G. Steeneken

“…Abstract Nonlinear dynamic simulations of mechanical resonators have been facilitated by the advent of computational techniques that generate nonlinear reduced order models (ROMs) using the finite element (FE) method. …”
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The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions by Shoukry Ibrahim Atia El-Ganaini

“…The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS) equation with a source, and the higher-order nonlinear Schrodinger equation in nonlinear optical fibers. …”
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Asymptotic decay of nonoscillatory solutions of general nonlinear difference equations by E. Thandapani, S. Lourdu Marian, John R. Graef

“…The authors consider the mth order nonlinear difference equations of the form Dmyn+qnf(yσ(n))=ei, where m≥1, n∈ℕ={0,1,2,…}, ani>0 for i=1,2,…,m−1, anm≡1, D0yn=yn, Diyn=aniΔDi−1yn, i=1,2,…,m, σ(n)→∞ as n→∞, and f:ℝ→ℝ is continuous with uf(u)>0 for u≠0. …”
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Analysis of a Delayed SIR Model with Nonlinear Incidence Rate by Jin-Zhu Zhang, Zhen Jin, Quan-Xing Liu, Zhi-Yu Zhang

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Objective penalty function method for nonlinear programming with inequality constraints by Zhuolin Yan, Xiaowei Jiang, Siyao Wang

Subjects: “…nonlinear programming…”
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On the Solvability of Discrete Nonlinear Two-Point Boundary Value Problems by Blaise Kone, Stanislas Ouaro

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Single-molecule manipulation of copper nanoclusters for modulating nonlinear optics by Xuekun Gong, Zhuang-Hua Liu, Qinghua Xu, Lin Wang, Qingxiang Guo, Jian Zhang, Qiao-Hong Li, Wei-Hui Fang, Hui Shen

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Fault Detection for Discrete-Time Nonlinear Impulsive Switched Systems by Qingyu Su, Xiaolong Jia, Zhengfan Song

“…This paper investigates the fault detection problem for discrete-time nonlinear impulsive switched systems. Attention is focused on designing the fault detection filters to guarantee the robust performance and the detection performance. …”
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Nonlinear Numerical Modeling of the Wire-Ring Net for Flexible Barriers by Zhixiang Yu, Chun Liu, Liping Guo, Lei Zhao, Shichun Zhao

“…To investigate the nonlinear mechanical behavior of the wire-ring net, this paper presents a new numerical model that can collectively consider equivalence between numerical and actual wire rings. …”
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Oscillation Solutions for Nonlinear Second-Order Neutral Differential Equations by Omar Bazighifan, Nawa Alshammari, Faten Aldosari, Loredana Florentina Iambor

“…This research investigates the oscillation criteria of nonlinear second-order neutral differential equations with multiple delays, focusing on their noncanonical forms. …”
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Numerical Algorithms for Finding Zeros of Nonlinear Equations and Their Dynamical Aspects by Amir Naseem, M. A. Rehman, Thabet Abdeljawad

“…In this paper, we developed two new numerical algorithms for finding zeros of nonlinear equations in one dimension and one of them is second derivative free which has been removed using the interpolation technique. …”
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Oscillations for Nonlinear Neutral Delay Differential Equations with Variable Coefficients by Fatima N. Ahmed, Rokiah R. Ahmad, Ummul K. S. Din, Mohd S. M. Noorani

“…A class of nonlinear neutral delay differential equations is considered. …”
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On the approximate solution of nonlinear singular integral equations with positive index by S. M. Amer

“…This paper is devoted to investigating a class of nonlinear singular integral equations with a positive index on a simple closed smooth Jordan curve by the collocation method. …”
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Multiple Attractors and Nonlinear Dynamics in an Overlapping Generations Model with Environment by Ahmad Naimzada, Mauro Sodini

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Shifting of Nonlinear Phenomenon in the Boost converter Using Aquila Optimizer by Belkacem Korich, Derradji Bakria, Djamal Gozim, Redha Djamel Mohammedi, Mohamed Elbar, Ali Teta

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New Proof for Balian-Low Theorem of Nonlinear Gabor System by D. H. Yuan, S. Z. Yang, X. W. Zheng, Y. F. Shen

“…We also introduce the concept of frame associated with nonlinear Fourier atoms for L2(ℝ,dθ) and obtain many subsidiary results for this kind of (Gabor) frames.…”
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