A Generalized Nonlinear Gronwall-Bellman Inequality with Maxima in Two Variables by Yong Yan

“…This paper deals with a generalized form of nonlinear retarded Gronwall-Bellman type integral inequality in which the maximum of the unknown function of two variables is involved. …”
Get full text

Nonlinear Vibration of a Continuum Rotor with Transverse Electromagnetic and Bearing Excitations by Haiyang Luo, Yuefang Wang

“…The nonlinear vibration of a rotor excited by transverse electromagnetic and oil-film forces is presented in this paper. …”
Get full text

Nonlocal Nonlinear Optical Response of Ionic Liquids under Violet Excitation by Cássio E. A. Santos, Márcio A. R. C. Alencar, Pedro Migowski, Jairton Dupont, Jandir M. Hickmann

“…The nonlocal nonlinearity under violet excitation of ionic liquids was investigated using the Z-scan technique. …”
Get full text

Experimental Study on Measurement of Drag Coefficient of Sandy Soil Nonlinear Vadose by Yu-ping Xu, Jing-yuan Liu, Xiu-wei Chai, Sha-sha Shi

Get full text

Effective Root-Finding Methods for Nonlinear Equations Based on Multiplicative Calculi by Ali Özyapıcı, Zehra B. Sensoy, Tolgay Karanfiller

“…Numerical root-finding methods are essential for nonlinear equations and have a wide range of applications in science and engineering. …”
Get full text

Oscillation Theorems for Second-Order Nonlinear Neutral Delay Differential Equations by Tongxing Li, Yuriy V. Rogovchenko

“…We analyze the oscillatory behavior of solutions to a class of second-order nonlinear neutral delay differential equations. Our theorems improve a number of related results reported in the literature.…”
Get full text

On Regularization of an Optimal Control Problem for Ill-Posed Nonlinear Elliptic Equations by Peter I. Kogut, Olha P. Kupenko, Rosanna Manzo

“…We discuss the existence issue to an optimal control problem for one class of nonlinear elliptic equations with an exponential type of nonlinearity. …”
Get full text

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. …”
Get full text

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.…”
Get full text

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. …”
Get full text

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. …”
Get full text

Fabrication of periodically poled lithium niobate waveguides for broadband nonlinear photonics by Furkan Ayhan, Markus Ludwig, Tobias Herr, Victor Brasch, Luis Guillermo Villanueva

“…Nonlinear optics is the precursor for many of the modern-day applications of photonics, including femtosecond pulse synthesis, precision spectroscopy, and metrology. …”
Get full text

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. …”
Get full text

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…”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text