Complex Dynamics in a Nonlinear Cobweb Model for Real Estate Market by Junhai Ma, Lingling Mu

“…We establish a nonlinear real estate model based on cobweb theory, where the demand function and supply function are quadratic. …”
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The Lyapunov Stability for the Linear and Nonlinear Damped Oscillator with Time-Periodic Parameters by Jifeng Chu, Ting Xia

“…Moreover, based on the computation of the corresponding Birkhoff normal forms, we present a sufficient condition for the stability of the equilibrium of the nonlinear damped oscillator x′′+b(t)x′+a(t)x+c(t)x2n-1+e(t,x)=0, where n≥2,c(t) is a continuous T-periodic function, e(t,x) is continuous T-periodic in t and dominated by the power x2n in a neighborhood of x=0.…”
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Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations on Time Scales by Xin Wu, Taixiang Sun, Hongjian Xi, Changhong Chen

“…We establish some new oscillation criteria for nonlinear dynamic equation of the form on an arbitrary time scale with , where are positive rd-continuous functions. …”
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On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation by Tomasz Zając

“…We study the existence of monotonic and nonnegative solutions of a nonlinear quadratic Volterra-Stieltjes integral equation in the space of real functions being continuous on a bounded interval. …”
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Fabrication of periodically poled lithium niobate waveguides for broadband nonlinear photonics by Furkan Ayhan, Markus Ludwig, Tobias Herr, Victor Brasch, Luis Guillermo Villanueva

“…In the last decade, nanophotonic waveguides have not only boosted the efficiencies of nonlinear effects but also unlocked new degrees of freedom in the design process and enabled the monolithic integration of multiple nonlinear devices. …”
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Nonlinear Dynamics Analysis of Subway Gear Transmission System with Fault Parameter by Sun Ran, Yang Jianwei, Wu Huijie

“…In order to investigate the influence of fault parameters on the nonlinear dynamics of metro gear system,the stiffness failure and tooth surface fault parameters of 6-DOF subway bending-torsion-shaft coupling mode are established,by using the variable step fourth-order Runge-Kutta numerical integration method the gear dynamics model with fault parameters is analyzed to get the dynamic response process of the system. …”
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High-Ratio Nonlinear Compression of Picosecond Lasers Based on Thin Plates by Kainan Zhou, Zhaoli Li, Yanlei Zuo, Zhaohui Wu, Xiaoming Zeng, Xiao Wang, Xiaodong Wang, Jie Mu, Guoying Feng

Subjects: “…nonlinear compression…”
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Geometrically Constructed Families of Newton's Method for Unconstrained Optimization and Nonlinear Equations by Sanjeev Kumar, Vinay Kanwar, Sushil Kumar Tomar, Sukhjit Singh

“…One-parameter families of Newton's iterative method for the solution of nonlinear equations and its extension to unconstrained optimization problems are presented in the paper. …”
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Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations by Ping Yu, Hongju Li, Jian Ding, Yanli Ma

“…In this paper, by means of a fixed point theorem for monotone decreasing operators on a cone, we discuss the existence of positive solutions for boundary value problems of nonlinear fractional singular differential equation. …”
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Solving Linear and Nonlinear Fractional Differential Equations Using Spline Functions by Adel Al-Rabtah, Shaher Momani, Mohamed A. Ramadan

“…Suitable spline functions of polynomial form are derived and used to solve linear and nonlinear fractional differential equations. The proposed method is applicable for 0<α≤1 and α≥1, where α denotes the order of the fractional derivative in the Caputo sense. …”
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Nonlinear Time-Delay Suspension Adaptive Neural Network Active Control by Yue Zhu, Sihong Zhu

“…Considering the time-delay in control input channel and the nonlinear spring stiffness characteristics of suspension, a quarter-vehicle magneto rheological active suspension nonlinear model with time-delay is established in this paper. …”
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Asymptotic behaviour of solutions of nonlinear delay difference equations in Banach spaces by Anna Kisiolek, Ireneusz Kubiaczyk

“…We consider the second-order nonlinear difference equations of the form Δ(rn−1Δxn−1)+pnf(xn−k)=hn. …”
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A practical adaptive nonlinear tracking algorithm with range rate measurement by Haiyan Yang, Hongqiang Liu, Zhongliang Zhou, An Xu

“…First, three popular nonlinear filtering algorithms only with the position measurement are surveyed. …”
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Adaptive Model Reference Sliding Mode Control of Structural Nonlinear Vibration by Luyu Li, Naibang Wang, Han Qin

“…Based on the identified states and parameters, model reference sliding model control (MRSMC) is proposed for structural nonlinear vibration control. In the design of MRSMC, the structure with tuned mass damper (TMD) is used as a reference model. …”
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Soliton-like excitation in a nonlinear model of DNA dynamics with viscosity by Conrad Bertrand Tabi, Alidou Mohamadou, Timoleon Crepin Kofane

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A Jacobi Collocation Method for Solving Nonlinear Burgers-Type Equations by E. H. Doha, D. Baleanu, A. H. Bhrawy, M. A. Abdelkawy

“…We solve three versions of nonlinear time-dependent Burgers-type equations. The Jacobi-Gauss-Lobatto points are used as collocation nodes for spatial derivatives. …”
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On ΛpBV-Solutions of Some Nonlinear Integral Equations on the Plane by Jurancy Ereú, Liliana Pérez, Luz Rodríguez

“…In addition, we study some nonlinear integral equations and providing conditions for the functions and kernel involved in such equations under which we guarantee the existence and uniqueness in the space of functions of bounded variation in the sense of Shiba on the plane, ΛpBVIab,ℝ.…”
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He’s Variational Iteration Method for Nonlinear Jerk Equations: Simple but Effective by Behrouz Raftari

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A New Nonlinear Diffusion Equation Model for Noisy Image Segmentation by Bo Chen, Xiao-Hui Zhou, Li-Wei Zhang, Jie Wang, Wei-Qiang Zhang, Chen Zhang

“…Some classical denoising models are employed to describe the evolution of level set function secondly. The final nonlinear diffusion equation model for noisy image segmentation is built thirdly. …”
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New Nonlinear Conditions and Inequalities for the Existence of Coincidence Points and Fixed Points by Wei-Shih Du, Shao-Xuan Zheng

“…Some new fixed point theorems for nonlinear maps are established. By using these results, we can obtain some new coincidence point theorems. …”
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