K-SMPC: Koopman Operator-Based Stochastic Model Predictive Control for Enhanced Lateral Control of Autonomous Vehicles by Jin Sung Kim, Ying Shuai Quan, Chung Choo Chung, Woo Young Choi

“…The Koopman operator is a linear map representing the nonlinear dynamics in an infinite-dimensional space. …”
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Optimizing the Service Provision time in the Emergency Department Using Mathematical Modeling and Simulation (Case Study: Imam Reza Hospital) by Mahdi Yousefi Nejad Atari, Ensiyeh Neyshabouri Jami, Akbar Sattari

“…In order to evaluate the costs and nurse job satisfaction in each scenario, a nonlinear integer programming mathematical model is proposed. …”
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Existence and Uniqueness of Solutions for a Fractional Order Antiperiodic Boundary Value Problem with a p-Laplacian Operator by Ruihui Huang

“…Based on the Leray-Schauder nonlinear alternative, several sufficient conditions of the existence and uniqueness of solution of the above problem are established. …”
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Approximation structures and applications to evolution equations by Adrian Duma, Cristian Vladimirescu

“…We discuss various properties of the nonlinear A-proper operators as well as a generalized Leray-Schauder principle. …”
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On the Stochastic 3D Navier-Stokes-α Model of Fluids Turbulence by Gabriel Deugoue, Mamadou Sango

“…We investigate the stochastic 3D Navier-Stokes-α model which arises in the modelling of turbulent flows of fluids. Our model contains nonlinear forcing terms which do not satisfy the Lipschitz conditions. …”
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An Optimal Control Problem Governed by a Kirchhoff-Type Variational Inequality by Chengfu Wang, Pengcheng Wu, Yuying Zhou

“…The existence of multiplicity solutions for the Kirchhoff-type variational inequality is established by using some nonlinear analysis techniques and the variational method, and the existence results of an optimal control for the optimal control problem governed by a Kirchhoff-type variational inequality are derived.…”
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Existence of Solutions for the Discrete Dirichlet Problem Involving p-Mean Curvature Operator by Jianxia Wang, Zhan Zhou

“…Under some determinate growth conditions on the nonlinear term, the existence of one solution or two nontrivial solutions is obtained via variational methods and some analysis techniques. …”
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Review of algebraic attacks on stream ciphers by ZHANG Long1, WU Wen-ling2, WEN Qiao-yan1

“…The basic theory and realizing methods of algebraic attacks on stream ciphers are presented.Then the algebraic attacks on stream ciphers with linear feedback shift register and the efficient techniques to decrease the degree of the nonlinear equations system are described in detail.After analyzing the complexity of whole procedures in algebraic attacks,the direction and future works of this research filed are summarized in the end.…”
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Constrained Weak Nash-Type Equilibrium Problems by W. C. Shuai, K. L. Xiang, W. Y. Zhang

“…A constrained weak Nash-type equilibrium problem with multivalued payoff functions is introduced. By virtue of a nonlinear scalarization function, some existence results are established. …”
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Normal Form Analysis of Hopf Bifurcation Exemplified by Duffing’s Equation by A.Y.T. Leung, Zhang Qichang, Chen Yushu

“…A method is proposed for calculating the normal form coefficients of the degenerate Hopf bifurcation system and the steady periodic solutions of a nonlinear vibration system. The results obtained by this method are the same as those obtained by the classical one. …”
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Global Bifurcation of Positive Solutions of Asymptotically Linear Elliptic Problems by Ruyun Ma, Yanqiong Lu, Ruipeng Chen

“…We are concerned with determining values of λ, for which there exist positive solutions of the nonlinear elliptic problem -Δu=λa(x)f(u)  in  Ω, ∂u/∂n+b(x)g(u)=0  on  ∂Ω. …”
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Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems by Hongyu Li

“…Using fixed point theorems in ordered Banach spaces with the lattice structure, we consider the existence of nontrivial solutions under the condition that the nonlinear term can change sign and study the existence of sign-changing solutions for some second order three-point boundary value problems. …”
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On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications by S. Amat, C. Bermúdez, S. Busquier, M. J. Legaz, S. Plaza

“…This paper is devoted to the study of a class of high-order iterative methods for nonlinear equations on Banach spaces. An analysis of the convergence under Kantorovich-type conditions is proposed. …”
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Electrostrictive Mechanism of Radiation Self-Action in Nanofluids by Albert Livashvili, Victor Krishtop, Margarita Yakunina

“…Explicit expressions for the nonlinear part of the refractive index and concentration lens focal length are presented. …”
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Solvability of Three-Point Boundary Value Problems at Resonance with a p-Laplacian on Finite and Infinite Intervals by Hairong Lian, Patricia J. Y. Wong, Shu Yang

“…By using a new continuation theorem, sufficient conditions are given, under the resonance conditions, to guarantee the existence of solutions to such boundary value problems with the nonlinear term involving in the first-order derivative explicitly.…”
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Comprehensive analysis of Pan-Immune Inflammation and all-cause mortality in rheumatoid arthritis: a database-driven approach, 1999-2018 by Muradil· Mardan, Huoliang Zheng, Qingyin Xu, Shaokuan Song, Zeyu Lu, Hui Deng, Hao Cai, Qizhu Chen, Bingyi Yang, Kudelaiti· Abuduwufuer, Pengbo Chen, Bo Li, Shengdan Jiang, Leisheng Jiang, Xin-feng Zheng

“…RCS analysis revealed a nonlinear relationship with a threshold at PIV = 302. …”
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Marketing Resource Allocation Strategy Optimization Based on Dynamic Game Model by Yan Long, Hongshan Zhao

“…After combing the existing literature, it is found that there is no research combining two-stage game and nonlinear dynamics to analyze the competition between enterprises for advertising. …”
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Bifurcation Scenarios of Neural Firing Patterns across Two Separated Chaotic Regions as Indicated by Theoretical and Biological Experimental Models by Huaguang Gu, Baobao Pan, Jian Xu

“…Nonlinear dynamics can be used to identify relationships between different firing patterns, which play important roles in the information processing. …”
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An Empirical Study on Relationship between Residents’ Disposable Income and CPI Based on TVECM: Application of Bootstrap SupLM Testing for Threshold Cointegration by Jungang Du

“…Based on the fluctuation characteristics of residents’ disposable income and CPI (Consumer Price Index) in different periods, this article introduces a nonlinear threshold cointegration theory, establishes a TVECM (Threshold Vector Error Correction Model) of the residents’ disposable income and CPI. …”
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Further Improvement on Stability Results for Delayed Load Frequency Control System via Novel LKFs and Proportional-Integral Control Strategy by Xingyue Liu, Kaibo Shi, Lin Tang, Yiqian Tang

“…In this work, novel stability results for load frequency control (LFC) system considering time-varying delays, nonlinearly perturbed load, and time-varying disturbance of system parameters are proposed by using proportional-integral control strategy. …”
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