Some Improvements of Jensen’s Inequality via 4-Convexity and Applications by Hidayat Ullah, Muhammad Adil Khan, Tareq Saeed, Zaid Mohammed Mohammed Mahdi Sayed

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New TDOA algorithm based on Taylor series expansion in cellular networks by ZHANG Ling-wen, TAN Zhen-hui

“…TDOA is the most potential positioning technique in cellular mobile telecommunication systems.Taylor series expansion method has been widely used in solving nonlinear equations for its high accuracy and good robustness.However,the performance of Taylor’s method depends highly on the initial estimation.Therefore one new algorithm（HOA,hybrid optimizing algorithm） was proposed which combines the Taylor series expansion method with steepest decent method.Steepest decent method is with the properties of fast convergence at the initial iterativeness and small computation complexity.HOA takes great advantages of both methods.Simulation results show that HOA has achieved better performance on positioning accuracy and efficiency.…”
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Maximum likelihood self-calibration for direction-dependent gain-phase errors with carry-on instrumental sensors:case of deterministic signal model by WANG Ding1, PAN Miao2, WU Ying1

“…Aim at the self-calibration of direction-dependent gain-phase errors in case of deterministic signal model,the maximum likelihood method（MLM） for calibrating the direction-dependent gain-phase errors with carry-on instrumental sensors was presented.In order to maximize the high-dimensional nonlinear cost function appearing in the MLM,an improved alternative projection iteration algorithm,which could optimize the azimuths and direction-dependent gain-phase errors was proposed.The closed-form expressions of the Cramér-Rao bound（CRB） for azimuths and gain-phase errors were derived.Simulation experiments show the effectiveness and advantage of the novel method.…”
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Interpolation of Gentle Spaces by Mourad Ben Slimane, Hnia Ben Braiek

“…Further, an application to nonlinear approximation is presented.…”
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Method of individual communication transmitter identification based on maximum correntropy by Zhe TANG, Ying-ke LEI

“…Secondly, the half-quadratic technique transformed the nonlinear op-timization problem to a weighted linear least squares problem. …”
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Real-Time Ship Motion Prediction Based on Time Delay Wavelet Neural Network by Wenjun Zhang, Zhengjiang Liu

“…A wavelet neural network with time delay is proposed based on nonlinear autoregressive model with exogenous inputs (NARMAX) model, and the sensitivity method is applied in the selection of network inputs. …”
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Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems by Rajagounder Ravi Kumar, Kil To Chong, Jong Ho Park

“…This paper is concerned with exact null controllability analysis of nonlinear KdV-Burgers equation with memory. The proposed approach relies upon regression tool to prove controllability property of linearized KdV-Burgers equation via Carleman estimates. …”
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On Dimension Extension of a Class of Iterative Equations by Juan Su, Xinhan Dong

“…This investigation aims at studying some special properties (convergence, polynomial preservation order, and orthogonal symmetry) of a class of r-dimension iterative equations, whose state variables are described by the following nonlinear iterative equation: ϕn(x)=T(ϕn−1(x)):=∑j=0mHjϕn−1(2x−k). …”
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Discrete Dynamics in Evolutionary Games by Orlando Gomes

“…Evolutionarily stable strategies are identified and nonlinear outcomes are explored. Besides the baseline payoffs of the established strategic interaction, the following elements are also vital to determine the dynamic outcome of a game: the initial fitness of each agent and the rule of motion that describes how individuals switch between strategies. …”
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On a New Iterative Scheme without Memory with Optimal Eighth Order by M. Sharifi, S. Karimi Vanani, F. Khaksar Haghani, M. Arab, S. Shateyi

“…The purpose of this paper is to derive and discuss a three-step iterative expression for solving nonlinear equations. In fact, we derive a derivative-free form for one of the existing optimal eighth-order methods and preserve its convergence order. …”
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Global Stability of a Rational Difference Equation by Guo-Mei Tang, Lin-Xia Hu, Gang Ma

“…We consider the higher-order nonlinear difference equation 𝑥𝑛+1=(𝑝+𝑞𝑥𝑛−𝑘)/(1+𝑥𝑛+𝑟𝑥𝑛−𝑘),𝑛=0,1,… with the parameters, and the initial conditions 𝑥−𝑘,…,𝑥0 are nonnegative real numbers. …”
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Some Fixed Point Results for Perov-Ćirić-Prešić Type F-Contractions with Application by Abdolsattar Gholidahneh, Shaban Sedghi, Vahid Parvaneh

“…To support our main result, an example and an application to nonlinear operator systems are presented.…”
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Image Denoising Using Fourth Order Wiener Filter with Wavelet Quadtree Decomposition by Issam Dagher, Catherine Taleb

“…This paper uses the fourth order nonlinear wiener filter with wavelet quadtree decomposition and median absolute deviation. …”
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Bilinear Minimax Optimal Control Problems for a von Kárman System with Long Memory by Jin-soo Hwang

“…We show the first and twice Fréchet differentiabilities of the nonlinear solution map from a bilinear input term to the weak solution of the equation. …”
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Global Existence of Weak Solutions to a Fractional Model in Magnetoelastic Interactions by Idriss Ellahiani, EL-Hassan Essoufi, Mouhcine Tilioua

“…Some commutator estimates are used to prove the convergence of nonlinear terms.…”
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Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions by Na Xiong, Wen-Tao Li, Biao Li

“…This method of solving the lump and rational solutions can also be applied to other nonlinear evolution equations.…”
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On More General Fractional Differential Equations Involving Mixed Generalized Derivatives with Nonlocal Multipoint and Generalized Fractional Integral Boundary Conditions by Wafa Shammakh, Hadeel Z. Alzumi, Bushra A. AlQahtani

“…The existence results for inclusion case are also discussed. The nonlinear term belongs to a general abstract space, and our results rely on modern theorems of fixed point. …”
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Variational Iteration Method for Initial and Boundary Value Problems Using He's Polynomials by Syed Tauseef Mohyud-Din, Ahmet Yildirim, M. M. Hosseini

“…The elegant coupling gives rise to the modified versions of VIM which is very efficient in solving nonlinear problems of diversified nature. It is observed that the variational iteration method using He's polynomials (VIMHP) is very efficient, easier to implements, and more user friendly. …”
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Motion of a Rigid Body Supported at One Point by a Rotating Arm by Jeffrey D. Stoen, Thomas R. Kane

“…This article details a scheme for evaluating the stability of motions of a system consisting of a rigid body connected at one point to a rotating arm. The nonlinear equations of motion for the system are formulated, and a method for finding exact solutions representing motions that resemble a state of rest is presented. …”
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Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay by Irada A. Dzhalladova, Jaromír Baštinec, Josef Diblík, Denys Y. Khusainov

“…A nonlinear stochastic differential-difference control system with delay of neutral type is considered. …”
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