Bounded Positive Solutions for a Third Order Discrete Equation by Zeqing Liu, Ming Jia, Shin Min Kang, Young Chel Kwun

“…This paper studies the following third order neutral delay discrete equation Δ(anΔ2(xn+pnxn-τ))+f(n,xn-d1n,…,xn-dln)=gn,n≥n0, where τ,l∈ℕ, n0 ∈ℕ∪{0}, {an}n∈ℕn0, {pn}n∈ℕn0, {gn}n∈ℕn0 are real sequences with an≠0 for n≥n0, {din}n∈ℕn0⊆ℤ with lim n→∞(n-din)=+∞ for i∈{1,2,…,l} and f∈C(ℕn0×ℝl,ℝ). By using a nonlinear alternative theorem of Leray-Schauder type, we get sufficient conditions which ensure the existence of bounded positive solutions for the equation. …”
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Theoretical and Experimental Study on Rapid Decompression Oscillation in Altitude Chamber by Zifeng Tian, Jianfeng Lu, Zhao Gu, Lihua Yu, Hao Zhou, Lijun Yang

“…Given the frequent airflow excitation phenomenon caused by the rapid decompression of the altitude chamber, the mathematical model of the nonlinear system of the rapid decompression of the altitude chamber is established. …”
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Intelligent Controller Design for Quad-Rotor Stabilization in Presence of Parameter Variations by Oualid Doukhi, Abdur Razzaq Fayjie, Deok Jin Lee

“…The paper presents the mathematical model of a quadrotor unmanned aerial vehicle (UAV) and the design of robust Self-Tuning PID controller based on fuzzy logic, which offers several advantages over certain types of conventional control methods, specifically in dealing with highly nonlinear systems and parameter uncertainty. The proposed controller is applied to the inner and outer loop for heading and position trajectory tracking control to handle the external disturbances caused by the variation in the payload weight during the flight period. …”
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RESEARCH ON THE DIRECTIVITY RESPONSE OF THE SPHERICAL PENDULUM SEISMOGRAPH by LIU Zhao, LIU YuMing, XU Hao, LI YaMei, ZHU YuTian

“…The analysis concludes that the spherical pendulum seismic measurement scheme may be a feasible restoration scheme with Rayleigh wave（the main component of non-local earthquakes） as wave source. A nonlinear complete mechanical model of the spherical pendulum under Rayleigh wave excitation is established. …”
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Analysis and Prediction of Body Test Results Based on Improved Backpropagation Neural Network Algorithm by Zhanju Ma, Yao Wang

“…Based on BP neural network, an algorithm for predicting students’ endurance performance is proposed, which is applied to the sunshine long-distance intelligent sports testing system at Hangzhou Dianzi University. The nonlinear relationship between students’ performance in sunshine running and endurance performance is determined, and students’ performance in sunshine running is used to predict their endurance performance the following year. …”
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Annual Energy Consumption Forecasting Based on PSOCA-GRNN Model by Huiru Zhao, Sen Guo

“…The generalized regression neural network (GRNN) model was employed to forecast the annual energy consumption due to its good ability of dealing with the nonlinear problems. Meanwhile, the spread parameter of GRNN model was automatically determined by PSOCA algorithm (the combination of particle swarm optimization algorithm and cultural algorithm). …”
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Hydraulic Simulation of Leakage in Post-Earthquake Water Supply Pipeline Network and Its Algorithm Improvement by Tianyang Yu

“…The linear search and backtracking algorithm was used to control the iterative step size of the nonlinear equations of the pipe network nodes, which ensures the global convergence of the low-pressure hydraulic analysis of the pipe network.…”
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ANALYSIS ON DYNAMIC CHARACTERISTICS OF TOOTH ROOT CRACK OF GEAR DRIVE SYSTEM UNDER VARIABLE LOAD EXCITATION by SHI PeiMing, ZHAO Na, LIANG Kai, HAN DongYing

“…According to the characteristics that crack can cause changes in mesh stiffness,the four degree of freedom dynamic model of the single-stage gear transmission system with the gear crack fault is established and the nonlinear dynamic mechanism of crack fault is studied. …”
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IMPROVED ALGORITHM FOR QUASI-STATIC SOLUTION OF HIGH SPEED ANGULAR CONTACT BALL BEARING by GAO Feng, HE PingPing, LI Yan, SHUI LinQi

“…Firstly,the intermediate variables are introducd to reduce the number of unknowns and the nonlinear equations are solved with step algorithm by which it’s ease to select the initial value. …”
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Mathematical model and its fast numerical method for the tumor growth by Hyun Geun Lee, Yangjin Kim, Junseok Kim

“…,Three-dimensional multispecies nonlinear tumor growth-I: model and numerical method, J. …”
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Euler Operational Matrix of Integration and Collocation Method for Solving Functional Integral Equations by Sohrab Bazm, Fatemeh Pahlevani

“…This approach transforms the integral equation into a set of nonlinear algebraic equations, which can be efficiently solved by employing standard numerical methods like Newton's method or Picard iteration. …”
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Dynamic Model and Quantitative Analysis of Stick-Slip Vibration in Horizontal Well by Baojin Wang, Zhongyang Wang, Fushen Ren

“…The influence of axial and torsional excitation on stick-slip is analyzed. The nonlinear motion predicted by the model is consistent with the observation results in the experiments. …”
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Navigating Deeply Uncertain Tradeoffs in Harvested Predator-Prey Systems by Antonia Hadjimichael, Patrick M. Reed, Julianne D. Quinn

“…The complex ecological interactions implied by different parameterizations of such systems yield highly complex and nonlinear dynamic properties with multiple distinct basins of attraction. …”
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Relationship between Urban Innovation Capability and Energy Utilization Efficiency: An Empirical Study of 281 Prefecture-Level Cities in China by Wanshu Wu, Kai Zhao

“…Following a dynamic nonlinear perspective, this study explores the relationship between urban innovation capability and energy utilization efficiency by employing the Panel Vector Autoregression (PVAR) and Dynamic Panel Threshold Regression (DPTR) methods. …”
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An Optimal Operating Strategy for Battery Life Cycle Costs in Electric Vehicles by Yinghua Han, Jinkuan Wang, Qiang Zhao, Peng Han

“…Under the assumptions, the proposed operating strategy for battery is formulated as a nonlinear optimization problem considering reliability and failure number. …”
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Picture Fuzzy Ideals of Near-Rings by Awais Asif, Hassen Aydi, Muhammad Arshad, Abdul Rehman, Usman Tariq

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An Efficient Series Solution for Fractional Differential Equations by Mohammed Al-Refai, Mohamed Ali Hajji, Muhammad I. Syam

“…We introduce a simple and efficient series solution for a class of nonlinear fractional differential equations of Caputo's type. …”
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Two-Dimensional CFD Modeling of Hysteresis Behavior of MR Dampers by Pengfei Guo, Jing Xie

“…So far, most previous studies on the nonlinear hysteresis analysis of ER/MR dampers have been limited to one-dimensional modeling techniques. …”
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Existence and Global Asymptotic Behavior of Singular Positive Solutions for Radial Laplacian by Imed Bachar, Habib Mâagli, Said Mesloub

“…We emphasize that the nonlinearity might also be singular at u=0, while the solution could blow-up at 0. …”
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Mixed Initial-Boundary Value Problem for the Capillary Wave Equation by B. Juarez Campos, Elena Kaikina, Hector F. Ruiz Paredes

“…We prove the global in-time existence of solutions of IBV problem for nonlinear capillary equation with inhomogeneous Robin boundary conditions. …”
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