Study on the Existence and Uniqueness of Solution of Generalized Capillarity Problem by Li Wei, Liling Duan, Haiyun Zhou

“…By using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta (1978), the abstract result on the existence and uniqueness of the solution in Lp(Ω) of the generalized Capillarity equation with nonlinear Neumann boundary value conditions, where 2N/(N+1)<p<+∞ and N≥1 denotes the dimension of RN, is studied. …”
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Nonstationary Fronts in the Singularly Perturbed Power-Society Model by M. G. Dmitriev, A. A. Pavlov, A. P. Petrov

“…The theory of contrasting structures in singularly perturbed boundary problems for nonlinear parabolic partial differential equations is applied to the research of formation of steady state distributions of power within the nonlinear “power-society” model. …”
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NUMERICAL SIMULATION OF MAGNETIC FIELD STRUCTURE IN CYLINDRICAL FILM SCREEN by G. F. Gromyko, V. T. Erofeenko, G. M. Zayats

“…A numerical method for solving the boundary value problem for a nonlinear magnetostatic equation describing the external magnetostatic field penetration through the cylindrical film coating is developed. …”
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Separation method of predistortion for Wiener PA by CHEN Kai-ya, WANG Min-xi

“…The method first separated memory subsystem and nonlinear subsystem from Wiener PA, and then got their corresponding predistortion subsystems by identification algorithm. …”
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Optimal Tooth Surface Correction of Internal Helical Gear and Mesh Simulation by Su Jianxin, Deng Xiaozhong, Ren Xiaozhong, Wei Bingyang, Xu Zengjun

“…The transmission coordinate system is built to deduce the tooth surface equation,the nonlinear meshing equation is built based on meshing theory. …”
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Linearization: Geometric, Complex, and Conditional by Asghar Qadir

“…Lie symmetry analysis provides a systematic method of obtaining exact solutions of nonlinear (systems of) differential equations, whether partial or ordinary. …”
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Existence and Attractivity for Fractional Evolution Equations by Yong Zhou, Jia Wei He, Bashir Ahmad, Ahmed Alsaedi

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Impulsive Multiorders Riemann-Liouville Fractional Differential Equations by Weera Yukunthorn, Sotiris K. Ntouyas, Jessada Tariboon

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Traveling Wave Solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony Equation by Zhengyong Ouyang

“…The results imply that we can deduce bell-shaped waves from periodic waves for some nonlinear evolution equations.…”
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Irregular Attractors by Vadim S. Anishchenko, Galina I. Strelkova

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Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems by Nuo Jia, Tao Wang

“…A class of new hyperchaotic systems with different nonlinear terms is proposed, and the existence of hyperchaos is exhibited by calculating their Lyapunov exponent spectrums. …”
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Study on the Axial Compression Postbuckling Similitude Model of the Stiffened Cylindrical Shell with Dimple Imperfections by Jiawei Ding, Xinkui Xing, Wei Yu, Wanxu Zhu

“…The analysis results show that the complete similitude analysis of stiffened cylindrical shell axial-compression nonlinear buckling can be realized accurately; the partial similitude model for stiffened cylindrical shell axial-compression nonlinear buckling can better predict the buckling characteristics of its prototype structures, and the closer the Poisson’s ratio between the model and the prototype materials is, the more accurate the prediction results are. …”
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A Simplified Method of Microscopic Polarizability Tensor Differential of Hyper-Raman Spectroscopy Based on the Bond Additivity Model by Yuan Wang, Liping Huang

“…Coherent anti-Stokes Raman spectroscopy (CARS) and Ccherent anti-Stokes hyper-Raman spectroscopy (CAHRS), as other high-order nonlinear spectroscopy techniques, are widely exploited in many research fields, such as dynamic processes, gene expression spectrum screening, high-resolution spectroscopy, and nonlinear high-resolution imaging. …”
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Impact of Digital Inclusive Finance on Rural High-Quality Development: Evidence from China by Le Sun, Congmou Zhu

“…FE regression model and RE regression model were employed for empirical analysis, and we constructed a nonlinear regression model to investigate the nonlinear relationship as well. …”
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Associations between body mass index, high-sensitivity C-reactive protein, and depressive symptoms: NHANES 2015-2016 by Yan Zhang, Fengya Zhen, Yaxing Zhang, Cuixia An

“…No nonlinear association was found between BMI and DP (P =0.677) and between HSCRP and DP (P =0.439) in males. …”
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Lie symmetry analysis and solitary wave solution of biofilm model Allen-Cahn by Muhammad Shakeel, Naseem Abbas, Muhammad Junaid U. Rehman, Fehaid Salem Alshammari, Abdullah Al-Yaari

“…Using a transformation method, the nonlinear partial differential equations (NPDEs) are converted into various nonlinear ordinary differential equations (NLODEs), providing the numerous closed-form solitary wave solutions. …”
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An Artificial Neural Network-Based Comprehensive Solar Photovoltaic Emulator by Kalaimohan Thankanadar Saraswathi, Parassuram Arumugam, Gurunandh V. Swaminathan, Somasundaram Periasamy

“…However, two significant challenges with PVEs are (i) solving the nonlinear equation of photovoltaic (PV) panel and (ii) oscillations in constant current (voltage) region with voltage (current) control. …”
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Dimension Analysis-Based Model for Prediction of Shale Compressive Strength by Xiangyu Fan, Fenglin Xu, Lin Chen, Qiao Chen, Zhiwei Liu, Guanghua Yao, Wen Nie

“…More importantly, our dimension analysis-based model needs to determine only one parameter, whereas the multi-nonlinear-regression model needs to determine five. …”
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The Impact of Non‐Monolithic Semiconductor Capacitance on Organic Electrochemical Transistors Performance and Design by Ned E. Dreamer, Dimitrios A. Koutsouras, Morteza Hassanpour Amiri, Paschalis Gkoupidenis, Kamal Asadi

“…The model is inherently nonlinear and the nonlinearity stem from the non‐monolithic capacitance of the organic semiconductor layer. …”
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Spectral Assessment of the Effects of Base Flexibility on Seismic Demands of a Structure by J. Borzouie, J. G. Chase, G. A. MacRae, G. W. Rodgers, G. C. Clifton

“…Linear and nonlinear spectral analyses show that increasing base flexibility generally increases frame lateral displacement and top moment of the column. …”
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