STOCHASTIC BIFURCATION OF A CURRENT CARRYING THIN RECTANGULAR PLATE IN A MAGNETIC FIELD by WANG Ping, WEI Xing, WANG ZhiRen

“…It was simplified as a nonlinear dynamics differential equation by using Galerkin variation method. …”
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NONLINEAR FREE VIBRATION CHARACTERISTICS OF PRINTING PAPER WEB WITH VARIABLE DENSITY by SHAO MingYue, WU JiMei, WANG Yan, YING ShuDi, WU QiuMin

“…Based on the von Karman plate theory,the vibration equation of the large deflection motion of the axially moving paper is deduced. The differential equation is divided by the Bubnov-Galerkin method,and the differential equation is solved by elliptic integral method. …”
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Weak Solutions for a p-Laplacian Antiperiodic Boundary Value Problem with Impulsive Effects by Keyu Zhang, Jiafa Xu, Wei Dong

“…By virtue of variational method and critical point theory, we will investigate the existence of weak solutions for a p-Laplacian impulsive differential equation with antiperiodic boundary conditions.…”
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Approximate controllability of neutral functional differential system with unbounded delay by Jong Yeoul Park, Sang Nam Kang

“…We consider a class of control systems governed by the neutral functional differential equation with unbounded delay and study the approximate controllability of the system. …”
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Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process by Cheng Zhang, Jianrun Zhang

“…A method to solve the differential equation under different boundary conditions is proposed based on the segmentation method. …”
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Existence of nonnegative solutions for a nonlinear fractional boundary value problem by Assia Guezane-Lakoud, Kheireddine Belakroum

“…This paper deals with the existence of solutions for a class of boundary value problem (BVP) of fractional differential equation with three point conditions via Leray-Schauder nonlinear alternative. …”
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On Integral Transforms and Matrix Functions by Hassan Eltayeb, Adem Kılıçman, Ravi P. Agarwal

“…These transforms are then used to solve the differential equation of a general linear conservative vibration system, a vibrating system with a special type of viscous damping.…”
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Logic Structure of Means Used for Higher Dynamic Stability of Power Transmission Systems by G. E. Pospelov

“…The paper contains a proposal for classification of means used for higher dynamic stability of power transmission systems on the basis of a differential equation of generator rotor motion which makes possible to estimate efficiency of these means.…”
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The analysis of modyficated mono equation by Donatas Švitra, Renata Retkutė

“… The differential equation with dalay: Ń(t) = α (N(t - h))/(1 +(N(t-h)/K)n) - βN(t),  n > 1 is proposed to model blood cells dynamics. …”
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Some Identities on the High-Order -Euler Numbers and Polynomials with Weight 0 by Jongsung Choi, Hyun-Mee Kim, Young-Hee Kim

“…We construct the th order nonlinear ordinary differential equation related to the generating function of -Euler numbers with weight 0. …”
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Uniqueness of semilinear elliptic inverse problem by Chaochun Qu, Ping Wang

“…We consider the uniqueness of the inverse problem for a semilinear elliptic differential equation with Dirichlet condition. The necessary and sufficient condition of unique solution is obtained. …”
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Frequency-Dependent FDTD Algorithm Using Newmark’s Method by Bing Wei, Le Cao, Fei Wang, Qian Yang

“…By analyzing the solution stability of the above differential equation using central difference method, it is proved that this method has more advantages in the selection of time step. …”
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General Linear Boundary Value Problem for the Second-Order Integro-Differential Loaded Equation with Boundary Conditions Containing Both Nonlocal and Global Terms by M. R. Fatemi, N. A. Aliyev

“…The paper is devoted to obtaining the sufficient conditions for Fredholm property for the general boundary value problem of the second-order linear integro-differential equation. Here, the boundary conditions corresponding with the boundary value problem contain both nonlocal and global terms.…”
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Moment Equations in Modeling a Stable Foreign Currency Exchange Market in Conditions of Uncertainty by Josef Diblík, Irada Dzhalladova, Mária Michalková, Miroslava Růžičková

“…The paper develops a mathematical model of foreign currency exchange market in the form of a stochastic linear differential equation with coefficients depending on a semi-Markov process. …”
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Research on a High Precision Reservoir Flood Regulating Calculation Based on Solving Integral Equation by ZHOU Bin

“…Reservoir flood regulating calculation can be divided into two methods: solving ordinary differential equation and solving integral equation, of which the method of solving integral equation is more widely used in engineering. …”
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Dichotomies with No Invariant Unstable Manifolds for Autonomous Equations by Răzvan O. Moşincat, Ciprian Preda, Petre Preda

“…We analyze the existence of (no past) exponential dichotomies for a well-posed autonomous differential equation (that generates a C0-semigroup {𝑇(𝑡)}𝑡≥0). …”
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Double Stratified Mixed Convective Flow of Couple Stress Nanofluid past Inclined Stretching Cylinder Using Cattaneo-Christov Heat and Mass Flux Model by Wubshet Ibrahim, Gosa Gadisa

“…The governing partial differential equation of the boundary layer flow region is reduced to its corresponding ordinary differential equation using a similarity transformation technique. …”
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Why Fuzzy Transform Is Efficient in Large-Scale Prediction Problems: A Theoretical Explanation by Irina Perfilieva, Vladik Kreinovich

“…Traditionally, to obtain such large-scale predictions, we first perform a detailed integration of the corresponding differential equation and then average the resulting detailed solution. …”
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An Analytic Solution for a Vasicek Interest Rate Convertible Bond Model by A. S. Deakin, Matt Davison

“…This paper provides the analytic solution to the partial differential equation for the value of a convertible bond. …”
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The Local Stability of Solutions for a Nonlinear Equation by Haibo Yan, Ls Yong

“…The approach of Kruzkov’s device of doubling the variables is applied to establish the local stability of strong solutions for a nonlinear partial differential equation in the space L1(R) by assuming that the initial value only lies in the space L1(R)∩L∞(R).…”
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