A New Efficient Method for Nonlinear Fisher-Type Equations by Hossein Aminikhah, Farshid Mehrdoust, Ali Jamalian

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Bilinear Equation of the Nonlinear Partial Differential Equation and Its Application by Xiao-Feng Yang, Yi Wei

“…The homogeneous balance of undetermined coefficient method is firstly proposed to derive a more general bilinear equation of the nonlinear partial differential equation (NLPDE). By applying perturbation method, subsidiary ordinary differential equation (sub-ODE) method, and compatible condition to bilinear equation, more exact solutions of NLPDE are obtained. …”
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Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems by Umer Saeed, Mujeeb ur Rehman

“…A numerical method is proposed by wavelet-Galerkin and quasilinearization approach for nonlinear boundary value problems. Quasilinearization technique is applied to linearize the nonlinear differential equation and then wavelet-Galerkin method is implemented to linearized differential equations. …”
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A note on the unique solvability of a class of nonlinear equations by Rabindranath Sen, Sulekha Mukherjee

“…The aim of the present note is to devise a simple criterion for the existence of the unique solution of a class of nonlinear equations whose solvability is taken for granted.…”
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Feedback-induced nonlinear spin dynamics in an inhomogeneous magnetic field by Tishuo Wang, Zhihuang Luo, Shizhong Zhang, Zhenhua Yu

“…Abstract Nonlinear spin dynamics is essential for predicting complex behaviors of spin systems and has a wide range of applications in physics. …”
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Nonlinear Predictive Sliding Mode Control for Active Suspension System by Dazhuang Wang, Dingxuan Zhao, Mingde Gong, Bin Yang

“…An active suspension system is important in meeting the requirements of the ride comfort and handling stability for vehicles. In this work, a nonlinear model of active suspension system and a corresponding nonlinear robust predictive sliding mode control are established for the control problem of active suspension. …”
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Combination-Combination Synchronization of Four Nonlinear Complex Chaotic Systems by Xiaobing Zhou, Lianglin Xiong, Xiaomei Cai

“…This paper investigates the combination-combination synchronization of four nonlinear complex chaotic systems. Based on the Lyapunov stability theory, corresponding controllers to achieve combination-combination synchronization among four different nonlinear complex chaotic systems are derived. …”
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Oscillation properties of nonlinear neutral differential equations of nth order by T. Candan, R. S. Dahiya

“…We consider the nonlinear neutral functional differential equation [r(t)[x(t)+∫abp(t,μ)x(τ(t,μ))dμ](n−1)]′+δ∫cdq(t,ξ)f(x(σ(t,ξ)))dξ=0 with continuous arguments. …”
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Control of Nonlinear Distributed Parameter Systems Based on Global Approximation by Chunyan Du, Guansheng Xing

“…The nonlinear system is approached by a sequence of linear time-varying systems, which globally converges in the limit to the original nonlinear systems considered. …”
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Applications of Normal S-Iterative Method to a Nonlinear Integral Equation by Faik Gürsoy

“…It has been shown that a normal S-iterative method converges to the solution of a mixed type Volterra-Fredholm functional nonlinear integral equation. Furthermore, a data dependence result for the solution of this integral equation has been proven.…”
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TEC Data Forecasting Using a Novel Nonlinear Model by Jun Wang, Bihua Zhou, Shudao Zhou

“…A novel nonlinear TEC forecasting model is proposed in the paper; the main produces of the model are as follows: first the EOF decomposition of TEC data is made, then the genetic algorithm is used to establish the nonlinear time field model, and finally the decomposed space field and the predicted time field are reconstructed to achieve the purpose of forecasting the TEC data. …”
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Total Stability in Nonlinear Discrete Volterra Equations with Unbounded Delay by Sung Kyu Choi, Yoon Hoe Goo, Dong Man Im, Namjip Koo

“…We study the total stability in nonlinear discrete Volterra equations with unbounded delay, as a discrete analogue of the results for integrodifferential equations by Y. …”
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An Application of Fixed Point Theory to a Nonlinear Differential Equation by A. P. Farajzadeh, A. Kaewcharoen, S. Plubtieng

“…By applying our obtained results, we also assure the fixed point theorems in partially ordered complete metric spaces and as an application of the main results we provide an existence theorem for a nonlinear differential equation.…”
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Analytic Formula for the Vibration and Sound Radiation of a Nonlinear Duct by Yiu-Yin Lee

“…A classic method combined with Vieta’s substitution technique is adopted to develop an analytic formula for computing the nonlinear structural and acoustic responses. The development of the analytic formula is based on the classical nonlinear thin plate theory and the three-dimensional wave equation. …”
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On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent by Mohammed El Mokhtar ould El Mokhtar

“…In this paper, we deal with p-Laplace equations with singular nonlinearities and critical Sobolev exponent. By using the Nehari manifold, Mountain Pass theorem, and Maximum principle theorem, we prove the existence of at least four distinct nontrivial solutions.…”
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Endoatmospheric Ascent Optimal Guidance with Analytical Nonlinear Trajectory Prediction by Shilei Zhao, Wanchun Chen, Liang Yang

“…Firstly, a precise analytical nonlinear trajectory prediction with arbitrary Angle of Attack (AOA) profile is derived. …”
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A Unified Approach to Some Classes of Nonlinear Integral Equations by Nurgali K. Ashirbayev, Józef Banaś, Raina Bekmoldayeva

“…We are going to discuss some important classes of nonlinear integral equations such as integral equations of Volterra-Chandrasekhar type, quadratic integral equations of fractional orders, nonlinear integral equations of Volterra-Wiener-Hopf type, and nonlinear integral equations of Erdélyi-Kober type. …”
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Oscillatory Behavior of Second-Order Nonlinear Neutral Differential Equations by Tongxing Li, Yuriy V. Rogovchenko

“…We study oscillatory behavior of solutions to a class of second-order nonlinear neutral differential equations under the assumptions that allow applications to differential equations with delayed and advanced arguments. …”
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Barycentric Rational Collocation Method for Nonlinear Heat Conduction Equation by Jin Li

“…Nonlinear heat equation solved by the barycentric rational collocation method (BRCM) is presented. …”
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Blowup of solutions with positive energy in nonlinear thermoelasticity with second sound by Salim A. Messaoudi, Belkacem Said-Houari

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