Mathematical Fundamentals of Modern Linear Optics by Andrey V. Gitin

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The association of visceral and subcutaneous fat areas with phenotypic age in non-elderly adults, mediated by HOMA-IR and HDL-C by Yuanhong Liu, Min Xu, Liqing Wang, Linyun Meng, Mengran Li, Shumin Mu

“…For abdominal subcutaneous fat area (SFA), this relationship was nonlinear in individuals aged 18–44 years and 45–59 years, with thresholds of 2.969 m² and 3.394 m², respectively. …”
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Nonstandard Finite Difference Variational Integrators for Multisymplectic PDEs by Cuicui Liao, Xiaohua Ding

“…We obtain a nonstandard finite difference variational integrator for linear wave equation with a triangle discretization and two nonstandard finite difference variational integrators for the nonlinear Klein-Gordon equation with a triangle discretization and a square discretization, respectively. …”
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A Result on the Existence and Uniqueness of Stationary Solutions for a Bioconvective Flow Model by Aníbal Coronel, Luis Friz, Ian Hess, Alex Tello

“…The bioconvective model is a boundary value problem for a system of four equations: the nonlinear Stokes equation, the incompressibility equation, and two transport equations. …”
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Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux by I-Chung Liu, Ahmed M. Megahed

“…Similarity transformations are used to transform the governing equations to a set of coupled nonlinear ordinary differential equations. The obtained differential equations are solved approximately by the homotopy perturbation method (HPM). …”
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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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FINITE ELEMENT ANALYSIS OF 3-D HELICAL GEAR DYNAMIC CONTACT CHARACTERISTICS by FU Tian, ZHAO BaiSen

“…In order to simulate the actual load distribution,the dynamic analysis model of rolling bearing is established by quasi-dynamic,simultaneously considering radial load,axial load,centrifugal force and gyroscopic moment acted on the rolling bearing,and study the rolling bearing load distribution under different radial load,axial load and speed conditions by MATLAB programming for solving nonlinear equations,the effect rules of contact angle and deformation are analyzed by program.…”
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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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Weak solutions for a class of quasilinear elliptic equation containing the $p(\cdot )$-Laplacian and the mean curvature operator in a variable exponent Sobolev space by Junichi Aramaki

“…In this paper, we consider the equation for a class of nonlinear operators containing $p(\cdot ) $-Laplacian and mean curvature operator with mixed boundary conditions in a bounded domain $\Omega $ of $\mathbb{R}^N$, under the hypothesis $p(x)>1$ in $\overline{\Omega}$. …”
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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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New chaos-particle swarm optimization algorithm by Xiao-bo XU, Kang-feng ZHENG, Dan LI, Bin WU, Yi-xian YANG

“…The original particle swarm optimization (PSO)algorithm has the advantages of fast convergence,but with the shortcoming of premature and local convergence.To overcome this problem,a new chaos-particle swarm optimization algorithm was presented,which was different from the conventional method of replacing pre-particle.Instead,the algorithm in this paper made the motion of particles with characteristics of chaos，so as to make particles move between the state of chaos and stable,and gradually close to the optimal value.The nonlinear dynamics of the proposed Mathematical model are analyzed,and the results of the experiment show that the proposed algorithm can result in encouraging results.…”
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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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