Existence of periodic solutions and homoclinic orbits for third-order nonlinear differential equations by O. Rabiei Motlagh, Z. Afsharnezhad

“…We give some conditions for this equation in order to reduce it to a second-order nonlinear differential equation. We show that the existence of periodic solutions for the second-order equation implies the existence of periodic solutions for the above equation. …”
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The Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Nonlinear Oscillators by D. V. Hieu, N. Q. Hai, D. T. Hung

“…The obtained results demonstrate that this method is very convenient for solving nonlinear equations and also can be successfully applied to a lot of practical engineering and physical problems.…”
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Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded Potentials by Meihua Huang, Zhan Zhou

“…We demonstrate the existence of standing wave solutions of the discrete coupled nonlinear Schrödinger equations with unbounded potentials by using the Nehari manifold approach and the compact embedding theorem. …”
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Optimal Algorithms and the BFGS Updating Techniques for Solving Unconstrained Nonlinear Minimization Problems by Chein-Shan Liu

“…To solve an unconstrained nonlinear minimization problem, we propose an optimal algorithm (OA) as well as a globally optimal algorithm (GOA), by deflecting the gradient direction to the best descent direction at each iteration step, and with an optimal parameter being derived explicitly. …”
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Oscillation Criteria of Third-Order Nonlinear Damped Dynamic Equations on Time Scales by Yang-Cong Qiu

“…We establish oscillation criteria of third-order nonlinear damped dynamic equations on time scales of the form r1tr2txΔtγΔΔ+ft, xt,xσt, xgt, xΔt=0 by employing functions in some function classes and the generalized Riccati transformation. …”
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Tikhonov Regularized Variable Projection Algorithms for Separable Nonlinear Least Squares Problems by Zhengqing Fu, Lanlan Guo

“…This paper considers the classical separable nonlinear least squares problem. Such problems can be expressed as a linear combination of nonlinear functions, and both linear and nonlinear parameters are to be estimated. …”
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Adaptive Optimal Terminal Sliding Mode Control for T-S Fuzzy-Based Nonlinear Systems by Farzad Soltanian, Amir Parviz Valadbeigi, Jafar Tavoosi, Rahmat Aazami, Mokhtar Shasadeghi, Mohammadamin Shirkhani, Amirreza Azizi

“…This study utilizes the Takagi–Sugeno fuzzy model to represent a subset of nonlinear systems and presents an innovative adaptive approach for optimal dynamic terminal sliding mode control (TSMC). …”
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Attribute Selection Impact on Linear and Nonlinear Regression Models for Crop Yield Prediction by Alberto Gonzalez-Sanchez, Juan Frausto-Solis, Waldo Ojeda-Bustamante

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Forecasting particulate matter concentration using nonlinear autoregression with exogenous input model by M.I. Rumaling, F.P. Chee, H.W.J. Chang, C.M. Payus, S.K. Kong, J. Dayou, J. Sentian

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Method of semidiscretization in time to nonlinear retarded differential equations with nonlocal history conditions by S. Agarwal, D. Bahuguna

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Rapid convergence of approximate solutions for first order nonlinear boundary value problems by Alberto Cabada, Juan J. Nieto, Seppo Heikkilä

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On a New Three-Step Class of Methods and Its Acceleration for Nonlinear Equations by T. Lotfi, K. Mahdiani, Z. Noori, F. Khaksar Haghani, S. Shateyi

“…A class of derivative-free methods without memory for approximating a simple zero of a nonlinear equation is presented. The proposed class uses four function evaluations per iteration with convergence order eight. …”
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Investigating nonlinear dynamic properties of an inertial sensor with rotational velocity-dependent rigidity by Mina Ghanbari, Mohammad Fathalilou, Hamed Haddad Khodaparast, Ghader Rezazadeh

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Nonlinear Analysis of Return Time Series Model by Oriented Percolation Dynamic System by Anqi Pei, Jun Wang

“…Fluctuation dynamics of financial price changes is developed and investigated by oriented percolation system; oriented percolation is percolation with a special direction along which the activity can only propagate one way but not the other. Then, nonlinear behaviors of distribution and leverage effect of return time series are studied for the proposed model and the real stock market by comparison. …”
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Bénard Problem for Slightly Compressible Fluids: Existence and Nonlinear Stability in 3D by Arianna Passerini

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On Nonlinear Simulation Methods and Tools for Evaluating the Performance of Ships and Offshore Structures in Waves by Shukui Liu, Apostolos Papanikolaou

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On the Optimum Detection of MIMO-SVD Signals With Strong Nonlinear Distortion Effects at the Transmitter by Joao Goncalves, M. Teresa Nogueira, Daniel Dinis, Joao Guerreiro, Rui Dinis

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Criteria for the asymptotic behaviour of solutions to certain third-order nonlinear differential equations by Adeyanju A.A., Fabelurin O.O., Akinbo G., Aduroja O.O., Ademola A.T., Ogundiran M.O., Ogundare B.S., Adesina O.A.

“…We investigate and provide sufficient criteria for ultimate boundedness of solutions as well as the asymptotic stability of the trivial solution to certain nonlinear differential equation of order three. Using the Lyapunov second method and the Yoshizawa limit point approach, we establish our results. …”
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Global Existence to an Attraction-Repulsion Chemotaxis Model with Fast Diffusion and Nonlinear Source by Yingjie Zhu, Fuzhong Cong

“…More specifically, we investigate the attraction-repulsion chemotaxis model with fast diffusive term and nonlinear source subject to the Neumann boundary conditions. …”
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Existence of nonoscillatory solutions for higher order nonlinear mixed neutral differential equations by Hui Li, Nana Jin, Yu Zhang

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