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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THE TECHNIQUES SEPARATING THREE OVERLAP PEAKS IN GAMMA SPECTRUM by Trịnh Ngọc Pháp, Mai Xuân Trung

“…The calculation procedure was performed by the Levenberg-Marquardt algorithm with linear and nonlinear background. Based on separating the two overlap peaks method has been implemented in our previous article, the separating three overlap peaks was successfully implemented in this paper, in which the calculations were tested with gamma-ray spectra by using a Semiconductor detector and a Scintillator detector.…”
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Symmetry Reductions, Exact Solutions, and Conservation Laws of a Modified Hunter-Saxton Equation by Andrew Gratien Johnpillai, Chaudry Masood Khalique

“…These subalgebras are then used to reduce the underlying equation to nonlinear third-order ordinary differential equations. …”
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Lie Algebra Classification, Conservation Laws, and Invariant Solutions for a Generalization of the Levinson–Smith Equation by G. Loaiza, Y. Acevedo, O.M.L. Duque, Danilo A. García Hernández

“…The underlying equation has applications in mechanics and nonlinear dynamics as well. This equation has been widely studied in the qualitative scheme. …”
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Multiple-Model Cardinality Balanced Multitarget Multi-Bernoulli Filter for Tracking Maneuvering Targets by Xianghui Yuan, Feng Lian, Chongzhao Han

“…Then, the extended Kalman (EK) and unscented Kalman filtering approximations for the GM-MM-CBMeMBer filter to accommodate mildly nonlinear models are described briefly. Simulation results are presented to show the effectiveness of the proposed filter.…”
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Analytical Model for Deflections of Bonded Posttensioned Concrete Slabs by Min Sook Kim, Joowon Kang, Young Hak Lee

“…A finite element model was established based on layered and degenerated shell elements. Nonlinearities of the materials are considered using the stress-strain relationships for concrete, reinforcing steel, and prestressing tendons. …”
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Chewing Khat Transmission Dynamics: A Mathematical Model and Stability Analysis by Abayneh Kebede Fantaye, Zerihun Kinfe Birhanu

“…In this study, the authors proposed a nonlinear deterministic model and stability analysis for the transmission dynamics of chewing khat. …”
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A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator by Ahmed Sami Abdulghafour, Raid Kamel Naji

“…The proposed mathematical model is consisting of three first-order nonlinear ordinary differential equations, which describe the interaction among the healthy prey, infected prey, and predator. …”
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The Sub-Supersolution Method and Extremal Solutions of Quasilinear Elliptic Equations in Orlicz-Sobolev Spaces by Ge Dong, Xiaochun Fang

“…The differential part is driven by a Leray-Lions operator in Orlicz-Sobolev spaces, while the nonlinear term g:Ω×R×RN→R is a Carathéodory function satisfying a growth condition. …”
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Copula-based trading of cointegrated cryptocurrency Pairs by Masood Tadi, Jiří Witzany

“…To identify the most suitable pairs and generate trading signals formulated from a reference asset for analyzing the mispricing index, the study employs linear and nonlinear cointegration tests, a correlation coefficient measure, and fits different copula families, respectively. …”
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Fixed Point Theorems on Ordered Metric Spaces through a Rational Contraction by Poom Kumam, Fayyaz Rouzkard, Mohammad Imdad, Dhananjay Gopal

“…Motivated by this paper, we prove results on coincidence points for a pair of weakly increasing mappings satisfying a nonlinear contraction condition described by a rational expression on an ordered complete metric space. …”
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Hierarchy analysis and modeling on the Internet AS-level topology by GUO Hong1, YANG Bai-wei2, LAN Ju-long1, LIU Luo-kun2

“…Based on the in-depth analysis of he massive real AS-level topology data,the multi characteristics describing Internet AS-level topology’s hierarchy were abstracted,and a material way about network’s hierarchical partition were introduced,and the number of connected edged of adding new nodes and nonlinear probability were gived.Finally,a novel hierarchical dynamic evolution model named IAT-HDEM based on corenness and the k-core decomposition was proposed.The numerical simulations and analysis results showed that most of macroscopic statistics closed to real networks’,including power-law degree distribution and negative correlation clustering-degree distribution etc.…”
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Safe Control for Spiral Recovery of Unmanned Aerial Vehicle by Chang-Jian Ru, Rui-Xuan Wei

“…Then, based on control scheduling of state variables and nonlinear dynamic inversion control laws, the spiral recovery controller is designed to accomplish guidance and control of spiral recovery. …”
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Collection policy refining method for threat monitoring in complex network environment by Fenghua LI, Zifu LI, Ling LI, Ming ZHANG, Kui GENG, Yunchuan GUO

“…Personalized collect policy is one of the necessary conditions for effectively monitoring threats in the complex network environment.However,differences in security requirements and threat types make it difficult to effectively generate personalized collect policy.To address the above problem,a collection policy automatic refinement method was designed.Firstly,a hierarchical model of collection policy was proposed.Then,by transforming the policy refinement into a nonlinear optimization problem,a genetic algorithm was designed to balance between collection revenue and collection cost.Finally,simulation experiments verify that according to the requirements of high-level monitoring,the acquisition scheme can be automatically generated.…”
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Approximate Analytic Solution for the KdV and Burger Equations with the Homotopy Analysis Method by Mojtaba Nazari, Faisal Salah, Zainal Abdul Aziz, Merbakhsh Nilashi

“…The homotopy analysis method (HAM) is an analytic technique which provides us with a new way to obtain series solutions of such nonlinear problems. HAM contains the auxiliary parameter ħ, which provides us with a straightforward way to adjust and control the convergence region of the series solution. …”
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Description of Dispersive Wave Emission and Supercontinuum Generation in Silicon Waveguides Using Split-Step Fourier and Runge-Kutta Integration Methods by Xuefeng Li

“…Based on solving numerically the generalized nonlinear Schrödinger equation describing the propagation of high order femtosecond soliton in silicon waveguide under certain parametric conditions by the split-step Fourier and Runge-Kutta integration methods, dispersive wave emission and supercontinuum generation in silicon waveguides are numerically investigated by propagating femtosecond solitons. …”
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Wave-Breaking Phenomena and Existence of Peakons for a Generalized Compressible Elastic-Rod Equation by Xiaolian Ai, Lingyu Jiang, Ting Yi

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Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation by Bo Ren

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On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces by Lu-Chuan Ceng, Yeong-Cheng Liou, Ching-Feng Wen, Hui-Ying Hu, Long He, Yun-Ling Cui

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Energy transfer aspects of chemically reactive Casson fluid between a conical gap of cone-disk system with multiple rotations by M. Qamar, M. Khan, A.S. Alqahtani, M.Y. Malik

“…The physical characteristics of nonlinear PDEs are converted into nonlinear coupled ODEs utilizing the right similarity variables. …”
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