Parametrically Excited Oscillations of Second-Order Functional Differential Equations and Application to Duffing Equations with Time Delay Feedback by Mervan Pašić

“…As an application, we study a class of Duffing type quasilinear equations with nonlinear time delayed feedback and their oscillations excited by the control gain parameter or amplitude of forcing term. …”
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Stability and Threshold of a Stochastic SIRS Epidemic Model with Vertical Transmission and Transfer from Infectious to Susceptible Individuals by Driss Kiouach, Yassine Sabbar

“…The aim of this paper is to generalize the nonlinear incidence rate of a stochastic SIRS (susceptible-infected-recovered-susceptible) epidemic model. …”
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Finite-Time Stability of Large-Scale Systems with Interval Time-Varying Delay in Interconnection by T. La-inchua, P. Niamsup, Xinzhi Liu

“…We investigate finite-time stability of a class of nonlinear large-scale systems with interval time-varying delays in interconnection. …”
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Exact Solutions for the Conformable Space-Time Fractional Zeldovich Equation with Time-Dependent Coefficients by Sami Injrou

“…The study shows that the used method is effective and reliable and can be utilized as a substitution to construct new solutions of different types of nonlinear conformable fractional partial differential equations (NFPDEs) with variable coefficients.…”
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A New Supply Chain System and Its Impulsive Synchronization by Yang Peng, Jiang Wu, Shiping Wen, Yuming Feng, Zhengwen Tu, Limin Zou

“…The purpose of this paper is to discuss modelling and synchronization of nonlinear supply chain system. Firstly, we present a new supply chain system which is sensitive to various uncertainties along with exogenous disturbances. …”
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Solvability of an Integral Equation of Volterra-Wiener-Hopf Type by Nurgali K. Ashirbayev, Józef Banaś, Agnieszka Dubiel

“…The paper presents results concerning the solvability of a nonlinear integral equation of Volterra-Stieltjes type. …”
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Torsional Vibrations at Guide-Vane Shaft of Pump–Turbine Model by Andrej Predin

“…The mathematical models for theoretical torsional vibration prediction formulated using linear and nonlinear differential equations are presented. The results of theoretical calculations are compared with measurement results. …”
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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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Optimization on Production-Inventory Problem with Multistage and Varying Demand by Duan Gang, Chen Li, Li Yin-Zhen, Song Jie-Yan, Akhtar Tanweer

“…This paper addresses production-inventory problem for the manufacturer by explicitly taking into account multistage and varying demand. A nonlinear hybrid integer constrained optimization is modeled to minimize the total cost including setup cost and holding cost in the planning horizon. …”
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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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A Leap-Frog Finite Difference Method for Strongly Coupled System from Sweat Transport in Porous Textile Media by Qian Zhang, Chao Huang

“…Based on physical mechanisms, the sweat transport can be viewed as the multicomponent flow that coupled the heat and moisture transfer, such that the system is nonlinear and strongly coupled. The leap-frog method is proposed to solve this system, with the second order accuracy in both spatial and temporal directions. …”
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Quantitative analysis and stability results in $ \beta $-normed space for sequential differential equations with variable coefficients involving two fractional derivatives by Debao Yan

“…This article conducted an analysis on quantitative properties and stability in a $ \beta $-normed space for a category of boundary value problems of nonlinear two-term fractional-order sequential differential equations with variable coefficients. …”
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Perihelion Precessions of Inner Planets in Einstein’s Theory and Predicted Values for the Cosmological Constant by Alvaro H. Salas S, Jairo E Castillo H, Lorenzo J. Martınez H

“…In this paper, we obtain the approximate value of 42.9815 arcsec/century for Mercury’s perihelion precession by solving both numerically and analytically the nonlinear ordinary differential equation derived from the geodesic equation in Einstein’s Theory of Relativity. …”
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Sumudu residual power series method to solve time-fractional Fisher’s equation by Rajendra Pant, Geeta Arora, Homan Emadifar, Ahmed A. Hamoud

“…In this paper, the one-dimensional nonlinear temporal fractional-order Fisher’s equation is solved by using the Sumudu residual power series method (SRPSM), a powerful computing technique. …”
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Applications of Fuzzy Sliding Mode Control for a Gyroscope System by Shih-Chung Chen, Chao-Lin Kuo, Chia-Hung Lin, Chih-Hung Hsu, Chien-Kuo Tsui

“…The state response analysis of the gyroscope system revealed highly nonlinear and chaotic subharmonic motions of 2T during state formation. …”
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Real-Time Trajectory Planning and Control for Constrained UAV Based on Differential Flatness by Dongli Wu, Hao Zhang, Yunping Liu, Weihua Fang, Yan Wang

“…A differential flat theory based on B-spline trajectory planning can replace the optimal control problem with nonlinear programming and be a good means to achieve the efficient trajectory planning of an UAV under multiple dynamic constraints. …”
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Complete Solutions to General Box-Constrained Global Optimization Problems by Dan Wu, Youlin Shang

“…This paper presents a global optimization method for solving general nonlinear programming problems subjected to box constraints. …”
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A Family of Derivative-Free Methods with High Order of Convergence and Its Application to Nonsmooth Equations by Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa

“…A family of derivative-free methods of seventh-order convergence for solving nonlinear equations is suggested. In the proposed methods, several linear combinations of divided differences are used in order to get a good estimation of the derivative of the given function at the different steps of the iteration. …”
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Optimum Design of Multidischarge Outlet Biomass Briquetting Machine by Jiaqi Yang, Jirong Wang, Jun Li, Lianwen Shi, Xiangwu Dai

“…To further improve efficiency and rationally allocate power at each stage, in this paper, we established a mathematical model for the machine. We use the nonlinear programming in Matlab (2016b) to solve the minimum value of the model, making the machine work time the shortest.…”
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Analytical Solutions of Time-Fractional Navier–Stokes Equations Employing Homotopy Perturbation–Laplace Transform Method by Awatif Muflih Alqahtani, Hamza Mihoubi, Yacine Arioua, Brahim Bouderah

“…The results show that the proposed method is robust, efficient, and easy to implement for both linear and nonlinear problems in science and engineering. Additionally, its computational efficiency requires less computation compared to other schemes.…”
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