Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems by Rajagounder Ravi Kumar, Kil To Chong, Jong Ho Park

“…This paper is concerned with exact null controllability analysis of nonlinear KdV-Burgers equation with memory. The proposed approach relies upon regression tool to prove controllability property of linearized KdV-Burgers equation via Carleman estimates. …”
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Multivalued Fixed Point Results for Two Families of Mappings in Modular-Like Metric Spaces with Applications by Tahair Rasham, Abdullah Shoaib, Choonkil Park, Manuel de la Sen, Hassen Aydi, Jung Rye Lee

“…An application has been presented to ensure the uniqueness and existence of a solution of families of nonlinear integral equations.…”
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Analytical Approximate Solution of Chemical Kinetics Problems by Hatıra Günerhan

“…Proposed problem is system of nonlinear ordinary differential equations. We show converges analysis of the differential transform method. …”
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Optimal Design of Structures under Impact Loading by Uwe Schramm, Walter D. Pilkey

“…The structural behavior is nonlinear dynamic. Optimization is performed using the approximation concept. …”
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A degree theory for locally compact perturbations of Fredholm maps in Banach spaces

“…The construction is based on the Brouwer degree theory and on the notion of orientation for nonlinear Fredholm maps given by the authors in some previous papers. …”
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A Three-Dimensional Anisotropic Diffusion Equation-Based Video Recognition Model for Classroom Concentration Evaluation in English Language Teaching by Yanghong Liu, Jintao Liu

“…DK features provide a nonlinear description of the correlation between successive face images and express face image sequences in the temporal dimension; depth features are extracted by a pretrained depth neural network model that can express the complex nonlinear mapping relationships of images and reflect the more abstract implicit information inside face images. …”
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Bridge Structure Dynamic Analysis under Vessel Impact Loading considering Soil-Pile Interaction and Linear Soil Stiffness Approximation by Jingfeng Zhang, Xiaozhen Li, Yuan Jing, Wanshui Han

“…Of various SPI modeling approaches, utilizing p-y and t-z curves is a common method to represent the nonlinear lateral resistance and skin friction of pile-surrounding soil. …”
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The Statistical Detecting of Sulfur Hexafluoride and Nitrous Oxide Effect on Seasonal Rainfalls in Iran During Recent Decade by Yosef Ghavidel Rahimi, Maysam Tolabi Nejad, Manochehr Farajzadeh

“…In fact, they are among the progressive networks with supervising training algorithms and suitable for nonlinear data. Other two categories of training algorithms including BP training algorithms and number normalization algorithm were used for training of networks. …”
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Periodic solutions for a class of perturbed sixth-order autonomous differential equations by Chems Eddine Berrehail, Amar Makhlouf

“…The averaging theory is a classical tool for the study of the dynamics of nonlinear differential systems with periodic forcing. …”
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Evaluation of Soil Quality for Different Types of Land Use Based on Minimum Dataset in the Typical Desert Steppe in Ningxia, China by Ying Tian, Zhe Xu, Jun Wang, Zhanjun Wang

“…This research used the total dataset (TDS), minimum dataset (MDS), approaches dealing with selecting better indexes, and scoring methods utilizing linear and nonlinear expressions to assess the typical desert grasslands in Yanchi County, Ningxia, China. …”
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Travel Choice Behavior Model Based on Mental Accounting of Travel Time and Cost by Shixu Liu, Jianchao Zhu, Said M. Easa, Lidan Guo, Shuyu Wang, Haoyu Wang, Yijian Xu

“…Model parameters are estimated using nonlinear regression, and the utility calculation principles are developed under different hypothetical scenarios. …”
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The link between the atherogenic index of plasma and the risk of hypertension: Analysis from NHANES 2017-2020. by Kaiyou Liu, Qingwei Ji, Shaoming Qin, Ling Liu, Hongwei Zhang, Huating Huang, Guihua Li, Junjun Chen

“…RCS found that there existed a nonlinear association between AIP and the incidence of hypertension (p<0.001). …”
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Point of Common Coupling Voltage Modulated Direct Power Control of Grid-Tied Photovoltaic Inverter for AC Microgrid Application by Shameem Ahmad, Hamza Mubarak, Umme Kulsum Jhuma, Tofael Ahmed, Saad Mekhilef, Hazlie Mokhlis

“…The proposed PCC voltage modulated (PVM) theory-based DPC method (PVMT-DPC) is composed of nonlinear PVM, nonlinear damping, conventional feedforward, and feedback PI controllers. …”
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Fast Attitude Maneuver of a Flexible Spacecraft with Passive Vibration Control Using Shunted Piezoelectric Transducers by Bassam A. Albassam

“…To simplify the analysis, the nonlinear ordinary differential equations of motion are then obtained using the assumed mode method. …”
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The Integration of Multimodal Networks: The Generalized Modal Split and Collaborative Optimization of Transportation Hubs by Yifei Cai, Jun Chen, Da Lei, Jiang Yu

“…The GMS/TAP is formulated as a nonlinear optimization problem (NLP) and is solved using a hybrid method of the successive average (MSA) algorithm. …”
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The work of Glenn F. Webb by William E. Fitzgibbon

“…He is a Fellow of the American Mathematical Society.Glenn's scientific career chronicles an evolution of scientific workthat began with his interest in nonlinear semigroup theory and leads up tohis current activity in biomedical mathematics. …”
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Study on Bearing Capacity of the Existing Engineering Pile Group without Lateral Displacement during Dynamic Top-Down Construction by Zhen Wang, Yang Zhao, Xuelin Yang, Zhi Ding, Wenwei Zhu, Qingzhong Wang

“…The corresponding critical stability load and the effective length coefficient were then obtained. Then, based on the nonlinear extreme point stability method with the initial geometrical imperfection, the amplification range for the effective length coefficient was studied. …”
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Terahertz generation from surface of the bulk and monolayer tungsten diselenide by D. I. Khusyainov, A. V. Gorbatova, A. M. Buryakov

“…The analysis results confirm that the only possible contribution to the generation of terahertz radiation in a tungsten diselenide monolayer crystal is the second order nonlinear optical effect – optical rectification. One of the contributions to the generation of tungsten diselenide is a nonlinear-optical effect of the third order – surface optical rectification.…”
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Transient Thermal Cooling of Electronics Systems using Functional Graded Fins: Hybrid Computational Analysis by Akinwale Emmanuel Jemiseye, Gbeminiyi Musibau Sobamowo, Olayiwola Olatunji Mayowa

“…However, the space and time-dependent analysis of passive device with inherent nonlinearities and explorations of conditions at the tip have not been fully presented. …”
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Experimental and analytical investigation of hydraulic conductivity, energy dissipation, and drag forces in gradually varied flow conditions through rockfill media by Jafar Chabokpour

“…It was observed that energy losses were nonlinear to the Reynolds number; furthermore, they changed from 0.02 to 0.14 m along the media length. …”
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