Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations by Hong-Rui Sun, Ya-Ning Li, Juan J. Nieto, Qing Tang

“…This paper is concerned with the existence of solutions for Sturm-Liouville boundary value problem of a class of second-order impulsive differential equations, under different assumptions on the nonlinearity and impulsive functions, existence criteria of single and multiple solutions are established. …”
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Elliptic equations in $ \mathbb{R}^2 $ involving supercritical exponential growth by Yony Raúl Santaria Leuyacc

“…In this work, we investigated the existence of nontrivial weak solutions for the equation \begin{document}$ -{\rm div}(w(x)\nabla u) \ = \ f(x,u),\qquad x \in \mathbb{R}^2, $\end{document} where $ w(x) $ is a positive radial weight, the nonlinearity $ f(x, s) $ possesses growth at infinity of the type $ {\rm \exp}\big((\alpha_0+h(|x|)\big)|s|^{2/(1-\beta)}) $, with $ \alpha_0 > 0 $, $ 0 < \beta < 1 $ and $ h $ is a continuous radial function that may be unbounded at infinity. …”
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Multi-State Reliability Analysis Based on General Wiener Degradation Process and Random Shock by Huibing Hao, Chunping Li

“…A multi-state reliability analysis model suffering from a dependent competing failure process is developed in this study, where the soft failure is described by general nonlinearity random effect. Wiener degradation process with measurement error and the hard failure is caused by random shock. …”
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Upper and Lower Solutions Method for a Class of Singular Fractional Boundary Value Problems with p-Laplacian Operator by Jinhua Wang, Hongjun Xiang

“…It is valuable to point out that the nonlinearity f can be singular at t=0,1 or u=0.…”
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Linear Control of Fractional-Order Financial Chaotic Systems with Input Saturation by Junhai Luo, Guanjun Li, Heng Liu

“…The saturation problem is tackled by using Gronwall-Bellman lemma and a memoryless nonlinearity function. Based on Gronwall inequality and Laplace transform technique, two sufficient conditions are achieved for the asymptotical stability of the fractional-order financial chaotic systems with fractional orders 0 < α ≤ 1 and 1 < α < 2, respectively. …”
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Correlation between Serum Platelet Count and Cognitive Function in Patients with Atrial Fibrillation: A Cross-Sectional Study by Dandan Sun, Quanliang Wang, Jie Kang, Jie Zhou, Ruijuan Qian, Wenqing Wang, Haichen Wang, Qingyun Zhang

“…The effect sizes and the confidence intervals of the left and right sides of the inflection point were 0.03 (0.01–0.05, P for nonlinearity = 0.011) and −0.03 (−0.05–0.00, P for nonlinearity = 0.023), respectively. …”
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On the Regularity of the Entropy Solution of the Fractional-Semigeostrophic Equation Using Ultrafilters by Gilles Tamba Bokolo

“…Traditional methods to study entropy solutions often face limitations due to the complex nature of fractional derivatives and the nonlinearity inherent in the FSG equation. By employing ultrafilters, a powerful tool in non-standard analysis, we overcome these challenges and provide new insights into the regularity of entropy solutions. …”
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A Finite-Time Fractional-Order Error Extended State Observer for Hypersonic Vehicle by Mingfei Zhao, Jia Song, Yunlong Hu, Wenling Li

“…To address the challenges posed by strong coupling, nonlinearity, and rapid time-varying dynamics in hypersonic vehicle (HV), this study presents an active disturbance rejection control (ADRC) scheme based on finite-time fractional-order error extended state observer (FTFOEESO). …”
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Nonexistence of Global Solutions for Coupled System of Pseudoparabolic Equations with Variable Exponents and Weak Memories by Kh. Zennir, H. Dridi, S. Alodhaibi, S. Alkhalaf

“…New here is the case of variables of nonlinearity p and q which make the problem has a scientific interest.…”
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Existence of Solutions for a Class of Variable Exponent Integrodifferential System Boundary Value Problems by Guizhen Zhi, Yunrui Guo, Yan Wang, Qihu Zhang

“…This paper investigates the existence of solutions for a class of variable exponent integrodifferential system with multipoint and integral boundary value condition in half line. When the nonlinearity term f satisfies sub-(p−−1) growth condition or general growth condition, we give the existence of solutions and nonnegative solutions via Leray-Schauder degree at nonresonance, respectively. …”
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More on the Non-Gaussianity of Perturbations in a Nonminimal Inflationary Model by R. Shojaee, K. Nozari, F. Darabi

“…We study nonlinear cosmological perturbations and their possible non-Gaussian character in an extended nonminimal inflation where gravity is coupled nonminimally to both the scalar field and its derivatives. …”
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Structure Preserving Numerical Analysis of Reaction-Diffusion Models by Nauman Ahmed, Muhammad Aziz-ur Rehman, Waleed Adel, Fahd Jarad, Mubasher Ali, Muhammad Rafiq, Ali Akgül

“…These are the finite difference methods in splitting environment, namely, operator splitting nonstandard finite difference (OS-NSFD) methods that effectively deal with nonlinearity in the models and computationally efficient. …”
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Fuzzy Wavelet Neural Network with the Improved Levenberg–Marquardt Algorithm for the AC Servo System by Run-Min Hou, Di-Fen Shi, Qiang Gao, Yuan-Long Hou

“…In this study, a fuzzy wavelet neural network with the improved Levenberg–Marquardt algorithm (FWNN-LM) is proposed to conquer nonlinearity and uncertain disturbance problems in the AC servo system. …”
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Inverse scattering transform algorithm for the Manakov system by A.E. Chernyavsky, L.L. Frumin

“…A numerical algorithm is described for solving the inverse spectral scattering problem associated with the Manakov model of the vector nonlinear Schrödinger equation. This model of wave processes simultaneously considers dispersion, nonlinearity and polarization effects. …”
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Analytical Solutions of Boundary Values Problem of 2D and 3D Poisson and Biharmonic Equations by Homotopy Decomposition Method by Abdon Atangana, Adem Kılıçman

“…The method is chosen because it does not require the linearization or assumptions of weak nonlinearity, the solutions are generated in the form of general solution, and it is more realistic compared to the method of simplifying the physical problems. …”
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Efficient Bi-Iterative Method for Source Position and Propagation Speed Estimation Using TDOA Measurements by Guo-Hui Zhu, Da-Zheng Feng, Yan Zhou

“…The source location and propagation speed estimation is a nonlinear problem due to the nonlinearity in the TDOA measurement equations. …”
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The Relationship Between Satisfaction with Complaint Handling and Repurchase Intentions: Detecting Moderating Influences in E-Tail by Mateus Nagel, Cristiane Pizzutti dos Santos

“…The findings show that all moderators help to explain the nonlinearity between SATCOM and RI. Hence, this study makes theoretical and managerial contributions related to failures in shopping experiences and repurchase intentions in e-tail.…”
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«GROWING UP» OF STUDENTS AS A PHENOMENON OF CHANGING HIGHER EDUCATION by G. E. Zborovsky, P. A. Ambarova

“…One of the tasks for educational researchers is to predict the possible consequences of this phenomenon for higher education and elaborate the elements of the nonlinearity of higher education that meet the identified trends. …”
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Dynamic Response of Doubly-Curved Shallow Shells to Periodic External Action by Alexey A. Semenov

“…A mathematical model is used based on the Timoshenko - Reissner hypotheses, taking into account transverse shears, geometric nonlinearity and rotational inertia. The calculation algorithm is based on the method of L.V. …”
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Lie Symmetry Analysis for the General Classes of Generalized Modified Kuramoto-Sivashinsky Equation by Rong Qi, Muhammad Mobeen Munir, Nazish Younas, Muhammad Idrees, Jia-Bao Liu

“…Lie symmetry analysis of differential equations proves to be a powerful tool to solve or at least reduce the order and nonlinearity of the equation. Symmetries of differential equations is the most significant concept in the study of DE’s and other branches of science like physics and chemistry. …”
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