Padé-Sumudu-Adomian Decomposition Method for Nonlinear Schrödinger Equation by Metomou Richard, Weidong Zhao

“…The main purpose of this paper is to solve the nonlinear Schrödinger equation using some suitable analytical and numerical methods such as Sumudu transform, Adomian Decomposition Method (ADM), and Padé approximation technique. …”
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Nonlinear Dynamic Characteristics of the Curve-face Gear Transmission System by Liu Jun, Zhang Yanxia, Pan Jiezong, Wang Xuesong

“…In order to study the nonlinear dynamic characteristics of the curve-face gear transmission system and the influence of parameters on the dynamic characteristics of the system, a nonlinear dynamic model of the curve-face gear system is established. …”
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Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation by C. Z. Qian, C. P. Chen, G. W. Zhou

“…Considering the deck vibration effect on the cable in cable-stayed bridge, using nonlinear structure dynamics theory, the nonlinear dynamical equation for the stayed cable excited with deck vibration is proposed. …”
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Existence of Best Proximity Point with an Application to Nonlinear Integral Equations by Shagun Sharma, Sumit Chandok

“…We obtain the existence of a solution for nonlinear integral equations as an application.…”
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Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations by Reza Mokhtari, Fereshteh Toutian Isfahani, Maryam Mohammadi

“…On the basis of reproducing kernel Hilbert spaces theory, an iterative algorithm for solving some nonlinear differential-difference equations (NDDEs) is presented. …”
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Growth, technology, and environmental change—nonlinearity and non-constant returns by Wei-Bin Zhang

Subjects: “…Nonlinearity; Non-constant returns; Environment; Growth.…”
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On the Nonlinear Behavior of the Piezoelectric Coupling on Vibration-Based Energy Harvesters by Luciana L. Silva, Marcelo A. Savi, Paulo C. C. Monteiro, Theodoro A. Netto

“…Vibration-based energy harvesting with piezoelectric elements has an increasing importance nowadays being related to numerous potential applications. A wide range of nonlinear effects is observed in energy harvesting devices and the analysis of the power generated suggests that they have considerable influence on the results. …”
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Synchronization of Chaotic Gyros Based on Robust Nonlinear Dynamic Inversion by Inseok Yang, Dongik Lee

“…A robust nonlinear dynamic inversion (RNDI) technique is proposed in order to synchronize the behavior of chaotic gyros subjected to uncertainties such as model mismatches and disturbances. …”
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A Martingale-Free Introduction to Conditional Gaussian Nonlinear Systems by Marios Andreou, Nan Chen

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A Justification of Two-Dimensional Nonlinear Viscoelastic Shells Model by Fushan Li

“…By applying formal asymptotic analysis and Laplace transformation, we obtain two-dimensional nonlinear viscoelastic shells model satisfied by the leading term of asymptotic expansion of the solution to the three-dimensional equations.…”
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Global and Local Structures of Bifurcation Curves of ODE with Nonlinear Diffusion by Tetsutaro Shibata

“…We consider the nonlinear eigenvalue problem Duu′′+λfu=0, u(t)>0, t∈I≔(0,1), u(0)=u(1)=0, where D(u)=uk, f(u)=u2n-k-1+sin⁡u, and λ>0 is a bifurcation parameter. …”
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Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument by Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá, Mauro Marini

“…We study necessary and sufficient conditions for the oscillation of the third-order nonlinear ordinary differential equation with damping term and deviating argument x‴(t)+q(t)x′(t)+r(t)f(x(φ(t)))=0. …”
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NONLINEAR FREQUENCY SPECTRAL ANALYSIS OF CRACKED ROTOR BASED ON NOFRF by WU HongXia, HAN Jie, CHEN Hong, QIN DongChen

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Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation by Ning Su, Li Zhang

“…As an application, we give the existence for a nonlinear degenerate parabolic equation.…”
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Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process by Amine El Koufi

“…In this work, we study a stochastic SIS epidemic model with Lévy jumps and nonlinear incidence rates. Firstly, we present our proposed model and its parameters. …”
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Study on a Class of Piecewise Nonlinear Systems with Fractional Delay by Meiqi Wang, Wenli Ma, Enli Chen, Yujian Chang

“…In this paper, a dynamic model of piecewise nonlinear system with fractional-order time delay is simplified. …”
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Nontrivial Periodic Solutions for Nonlinear Second-Order Difference Equations by Tieshan He, Yimin Lu, Youfa Lei, Fengjian Yang

“…This paper is concerned with the existence of nontrivial periodic solutions and positive periodic solutions to a nonlinear second-order difference equation. Under some conditions concerning the first positive eigenvalue of the linear equation corresponding to the nonlinear second-order equation, we establish the existence results by using the topological degree and fixed point index theories.…”
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Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation by Xiaoping Yuan

“…It is shown that there are plenty of hyperbolic-elliptic invariant tori, thus quasiperiodic solutions for a class of nonlinear wave equations.…”
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Pinning Synchronization of Delayed Neural Networks with Nonlinear Inner-Coupling by Yangling Wang, Jinde Cao

“…Without assuming the symmetry and irreducibility of the outer-coupling weight configuration matrices, we investigate the pinning synchronization of delayed neural networks with nonlinear inner-coupling. Some delay-dependent controlled stability criteria in terms of linear matrix inequality (LMI) are obtained. …”
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Common Fixed Points for Nonlinear Quasi-Contractions of Ćirić Type by Fei He

“…We establish common fixed points theorems for two self-mappings satisfying a nonlinear contractive condition of Ćirić type with a Q-function. …”
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