Internal eradicability for an epidemiological model with diffusion by Sebastian Aniţa, Bedreddine Ainseba

“…Using the framework of nonlinear reaction-diffusion equations, and spectral theory of linear differential operators, we give necessary conditions and sufficient conditions of eradicability.…”
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Research of the Brake Noise Prediction of Wet Brake based on Complex Mode Finite Element Method by Luo Tianhong, Cui Tingqiong, Lu Shiqiu, Li Deshan

“…Aiming at the problem of the vibration noise in the braking process of wet multi- disc brake,the damping and stiffness between the brake disc friction plate and the steel disk are introduced based on the consideration of the small relative displacement of the brake disc and the friction lining due to time delay,otherwise,the contact friction relations of braking component and their effect also take into consideration. By using the nonlinear contact kinematics,the analysis model of the wet brake noise is proposed and the accuracy of this model is verified by using the complex modal finite element simulation analysis. …”
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Solution of Second-Order IVP and BVP of Matrix Differential Models Using Matrix DTM by Reza Abazari, Adem Kılıcman

“…We introduce a matrix form of differential transformation method (DTM) and apply for nonlinear second-order initial value problems (IVPs) and boundary value problems (BVPs) of matrix models which are given by 𝐮(𝑡)=𝑓(𝑡,𝐮(𝑡),𝐮(𝑡)) and subject to initial conditions 𝐮(𝑎)=𝐮0,𝐮(𝑎)=𝐮1 and boundary conditions 𝐮(𝑎)=𝐮0,𝐮(𝑏)=𝐮1, where 𝐮0,𝐮1∈𝑅𝑟×𝑞. …”
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A boundary value problem in the hyperbolic space by P. Amster, G. Keilhauer, M. C. Mariani

“…We consider a nonlinear problem for the mean curvature equation in the hyperbolic space with a Dirichlet boundary data g. …”
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Stochastic Maximum Principle of Near-Optimal Control of Fully Coupled Forward-Backward Stochastic Differential Equation by Maoning Tang

“…This paper first makes an attempt to investigate the near-optimal control of systems governed by fully nonlinear coupled forward-backward stochastic differential equations (FBSDEs) under the assumption of a convex control domain. …”
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Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem by Wenzhe Xie, Jing Xiao, Zhiguo Luo

“…By using the method of upper and lower solutions and fixed point theorems, the existence of solutions for a Riemann-Liouville fractional boundary value problem with the nonlinear term depending on fractional derivative of lower order is obtained under the classical Nagumo conditions. …”
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Numerical Integration of a Class of Singularly Perturbed Delay Differential Equations with Small Shift by Gemechis File, Y. N. Reddy

“…The method is demonstrated by implementing it on several linear and nonlinear model examples by taking various values for the delay parameter and the perturbation parameter .…”
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Algorithms for a System of General Variational Inequalities in Banach Spaces by Jin-Hua Zhu, Shih-Sen Chang, Min Liu

“…The purpose of this paper is using Korpelevich's extragradient method to study the existence problem of solutions and approximation solvability problem for a class of systems of finite family of general nonlinear variational inequality in Banach spaces, which includes many kinds of variational inequality problems as special cases. …”
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A New Impulsive Multi-Orders Fractional Differential Equation Involving Multipoint Fractional Integral Boundary Conditions by Guotao Wang, Sanyang Liu, Dumitru Baleanu, Lihong Zhang

“…The existence and uniqueness results are obtained for a nonlinear problem with fractional integral boundary conditions by applying standard fixed point theorems. …”
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Convergence Theorems for Right Bregman Strongly Nonexpansive Mappings in Reflexive Banach Spaces by H. Zegeye, N. Shahzad

“…Our theorems complement some recent results that have been proved for this important class of nonlinear mappings.…”
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Prescribed Performance Synchronization Control of Chaotic Systems with Unknown Control Gain Signs by Xin Ma, Fang Zhu

“…For a class of uncertain nonlinear chaotic systems with unknown control gain signs and saturated input, by means of Nussbaum function, a scheme of finite-time prescribed performance synchronization control is proposed. …”
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Generation transcritical flow influenced by dissipation over a hole by Mohammed Daher Albalwi

“…Transcritical flow of a stratified fluid over an obstacle for negative forcing amplitude (hole) that generation upstream and downstream, connected by an unsteady solution is examined. In the weakly nonlinear, weakly dispersive regime, the problem is formulated in the forced Korteweg-de Vries–Burgers framework. …”
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Mathematical Modeling for Optimal Management of Human Resources in Banking Sector of Bangladesh by Uzzwal Kumar Mallick, Md. Haider Ali Biswas

“…A system of ordinary nonlinear differential equations has three state variables including vacancies. …”
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Nonoscillatory Central Schemes for Hyperbolic Systems of Conservation Laws in Three-Space Dimensions by Andrew N. Guarendi, Abhilash J. Chandy

“…Details of the schemes, their implementation, and properties are presented together with results from several prototypical applications of hyperbolic conservation laws including a nonlinear scalar equation, the Euler equations of gas dynamics, and the ideal magnetohydrodynamic equations. …”
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Multiphoton emission of x-rays from cooperative resonant nuclei by Xiangjin Kong, Yue Chang, Lida Zhang, Jianmin Yuan, Yu-Gang Ma

“…Our work presents an efficient approach to investigating the multiphoton emission of x-rays from cooperative resonant nuclei within and beyond weak-excitation regimes, offering valuable insights into nonlinear x-ray optics and many-body nuclear physics.…”
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Novel extended multivariate public key cryptosystem by Shuai-ting QIAO, Yi-fa LI, Wen-bao HAN

“…To resist linearization attack and differential attack effectively, a nonlinear invertible transformation based on“tame transformation” was constructed. …”
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Evaluation of Sustainability of Brazilian Ethanol Production: A model in System Dynamics by Arnoldo Jose de Hoyos Guevara, Orlando Roque da Silva, Haroldo Lhou Hasegawa, Délvio Venanzi

“…This approach is based on mathematical concepts of nonlinear processes developed in mathematics and physics and consolidated in engineering. …”
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A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation by Zhen Wang, Li Zou, Zhi Zong, Hongde Qin

“…We introduce two subequations with different independent variables for constructing exact solutions to nonlinear partial differential equations. In order to illustrate the efficiency and usefulness, we apply this method to 2+1-dimensional KdV equation, which was first derived by Boiti et al. (1986) using the idea of the weak Lax pair. …”
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DYNAMIC MODELING AND SIMULATION OF ROLLING BEARING WITH PITTING FAILURE by ZHANG HuiLing, LV FuLing

“…The five degree of freedom dynamic model of rolling bearing system with local fault is established by considering the nonlinear factors such as oil film and the sliding of rolling element. …”
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Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition by Assia Guezane-Lakoud, Hamidane Nacira, Khaldi Rabah

“…The arguments are based on Banach contraction principle, Leray Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in cone. …”
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