Blow-Up Results for a Weakly Coupled System of Semilinear Wave Equations in de Sitter Spacetime by Jie Yang, Xia Ma, Caiyun Liu

“…In particular, the critical curve for exponents p,q in nonlinear terms in this problem is same as the critical curve for a weakly coupled system of semilinear wave equations with power nonlinearities. …”
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Nontrivial Periodic Solutions of an -Dimensional Differential System and Its Application by F. B. Gao

“…It is found that the existent range of periodic solutions for the thin plate system increases along with the increase of the ratio of the modulus of nonlinear term’s coefficient and parametric excitation term, which generalize and improve the corresponding achievements given in the known literature.…”
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Higher-Order Dynamic Delay Differential Equations on Time Scales by Hua Su, Lishan Liu, Xinjun Wang

“…We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-order p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. …”
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Solvlng Non-Linear First Order Ordinary Differential Equations. by Taremwa, Elias

“…The main objective of the study was to compare different methods used in solving nonlinear first-order ordinary differential equations…”
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Steady Three-Dimensional MHD Mixed Convection Couple Stress Flow of Hybrid Nanofluid with Hall and Ion Slip Effect by Ali Rehman, Waris Khan, Ebenezer Bonyah, Samsul Ariffin Abdul Karim, Ahmed Alshehri, Ahmed M. Galal

“…The transform nonlinear ordinary differential equations are solved by an approximate analytical method. …”
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The Characteristics of Seismic Response on Hard Interlayer Sites by Jie Su, Zhenghua Zhou, You Zhou, Xiaojun Li, Qing Dong, Yafei Wang, Yuping Li, Liu Chen

“…With the increase of hard interlayer thickness, the site nonlinear effect on seismic responses decreased. Under the same thickness of the hard interlayer, the nonlinear effect of the site was strengthened with the higher input peak acceleration. …”
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Influence of Abutment Stiffness and Strength on the Seismic Response of Horizontally Curved RC Bridges in Comparison with Equivalent Straight Bridges at Different Seismic Intensity... by Khashayar Heydarpour, Payam Tehrani

“…First, nonlinear static (pushover) analyses are carried out to evaluate the overall behavior of the bridges with different abutment configurations in the two perpendicular principal directions. …”
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Coupled Vibration Behavior of Hot Rolling Mill Rolls under Multinonlinear Effects by Rongrong Peng, Xingzhong Zhang, Peiming Shi

“…A coupled vibration model of hot rolling mill rolls under multiple nonlinear effects is established by considering the nonlinear spring force produced by the hydraulic cylinder, the nonlinear friction between the work rolls, the dynamic variation of rolling force, and the effect of external excitation as well as according to the structural constraints of a four-high hot rolling mill in the vertical and horizontal directions. …”
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Ab-initio trained machine learning potential for MAX compound Ti2AlC: construction, validation, and study of non linear elasticity by Aishwaryo Ghosh, Amitava Moitra, Tanusri Saha-Dasgupta

“…One of the intriguing features exhibited by the layered MAX phase compounds, is the nonlinear elastic behaviour. Since the experimental observation of this curious behaviour, the underlying micro-mechanism has been discussed to interpret experimental observations. …”
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L1 Adaptive Fault-Tolerant Attitude Tracking Control of UAV Systems Subject to Faults and Input Saturation by Yan Zhou, Huiying Liu, Huijuan Guo, Yongjian Chen

“…After the conversion and reorganization of such uncertainties including actuator faults, sensor faults, input saturation, and external disturbances, a nonlinear uncertain system model is developed. Second, a L1 neural network adaptive fault-tolerant controller is designed to deal with uncertainties, where radial basis function neural networks (RBFNNs) are applied to approximate the nonlinear function in the system model. …”
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A Statistical Approach to Model the H-Index Based on the Total Number of Citations and the Duration from the Publishing of the First Article by Mohammad Reza Mahmoudi, Marzieh Rahmati, Zulkefli Mansor, Amirhosein Mosavi, Shahab S. Band

“…To determine the effect of every factor (NC and D1) on h, we applied a set of simple nonlinear regression. The results indicated that both NC and D1 had a significant effect on h (p < 0.001). …”
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Thermo-Magneto-Solutal Squeezing Flow of Nanofluid between Two Parallel Disks Embedded in a Porous Medium: Effects of Nanoparticle Geometry, Slip and Temperature Jump Conditions by M. G. Sobamowo, A. T. Akinshilo, A. A. Yinusa

“…Similarity variables are used to transform the developed governing systems of nonlinear partial differential equations to systems of nonlinear ordinary differential equations. …”
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Temperature and Stress Evaluation during Three Different Phases of Friction Stir Welding of AA 7075-T651 Alloy by Kareem N. Salloomi, Furat I. Hussein, Sanaa N. M. Al-Sumaidae

“…The current study performs an explicit nonlinear finite element simulation to predict temperature distribution and consequent stresses during the friction stir welding (FSW) of AA 7075-T651 alloy. …”
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Application of the Natural Decomposition Method to Strongly Coupled Partial Differential Equations: The Gray-Scott Model. by Nsingwire, Godwin

“…This study investigated the application of the natural decomposition method for solving the Gray-Scott reaction-diffusion model, which is known for its complex nonlinearities and strong coupling between chemical species. …”
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Extendability of Equilibria of Nematic Polymers by Hongyun Wang, Hong Zhou

“…We formulate equilibrium states as solutions of a nonlinear system and calculate the determinant of the Jacobian matrix of the nonlinear system. …”
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Behavior of Uniform Anisotropic Beams of Rectangular Section under Transverse Impact of a Mass by Lu Chun, K. Y. Lam

“…The impactor and laminated composite beam are treated as a system. The nonlinear differential governing equations of motion are then derived based on the Lagrange principle and modified nonlinear contact law, and solved numerically. …”
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Speaker verification method based on deep information divergence maximization by Chen CHEN, Yafeng RONG, Chaoqun JI, Deyun CHEN, Yongjun HE

“…To solve the problem that the nonlinear relationship between speaker representations cannot be accurately captured in speaker verification, an objective function based on depth information divergence maximization was proposed.It could implicitly represent the nonlinear relationship between speaker representations by calculating the similarity between their distributions.Under the supervision of the optimization goal of maximizing the statistical correlation, the deep neural network was optimized towards the direction that the within-class data was more compact and the between-class data were far away from each other, and finally the discrimination of deep speaker representation space could be effectively improved.Experimental results show that compared with other deep learning methods, the relative EER of the proposed method is reduced by 15.80% at most, which significantly improves the system performance.…”
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Some Algorithms for Solving Third-Order Boundary Value Problems Using Novel Operational Matrices of Generalized Jacobi Polynomials by W. M. Abd-Elhameed

“…The main aim of this research article is to develop two new algorithms for handling linear and nonlinear third-order boundary value problems. For this purpose, a novel operational matrix of derivatives of certain nonsymmetric generalized Jacobi polynomials is established. …”
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Stability of a positive equilibrium state for a stochastically perturbed mathematical model ofglassy-winged sharpshooter population by Leonid Shaikhet

“…The known nonlinear mathematical model of the Glassy-winged Sharpshooter is considered. …”
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Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel by M. Esmaeilpour, Naeem Roshan, Negar Roshan, D. D. Ganji

“…The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.…”
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