Pulse Dynamics in a Bistable Reaction-Diffusion System with Chemotaxis by Satoshi Kawaguchi

“…We derive the ordinary differential equation of interfaces by applying the multiple scales method to the reaction-diffusion system for examining the effect of the chemotaxis on pulse dynamics in one dimension. …”
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Structural Parameter Identification of Fixed End Beams by Inverse Method Using Measured Natural Frequencies by T. Türker, A. Bayraktar

“…The solution of free bending transverse vibration of the beam is obtained by solving the differential equation motion of Bernoulli-Euler beam. By introducing the natural frequencies from experimental measurements into the solution of differential equation, the structural parameters of the fixed end beam are calculated.…”
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Propagation of Shear Horizontal Wave at Magneto-Electro-Elastic Structure Subjected to Mechanically Imperfect Interface by Anandakrishnan Akshaya, Santosh Kumar, Kulandhaivel Hemalatha

“…This involves initially transforming the partial differential equation into an ordinary differential equation through basic variable separation and the ordinary differential equation is solved by WKB approximation technique. …”
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On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials by Luciano Feo, Rosa Penna

“…Unlike standard treatments, a second-order differential equation of nonlocal equilibrium elastic is integrated in terms of transverse displacements and equilibrated bending moments. …”
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Well-posedness of the difference schemes of the high order of accuracy for elliptic equations by Allaberen Ashyralyev, Pavel E. Sobolevskiĭ

“…It is well known the differential equation −u″(t)+Au(t)=f(t)(−∞<t<∞) in a general Banach space E with the positive operator A is ill-posed in the Banach space C(E)=C((−∞,∞),E) of the bounded continuous functions ϕ(t) defined on the whole real line with norm ‖ϕ‖C(E)=sup⁡−∞<t<∞‖ϕ(t)‖E. …”
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Axially Symmetric-dS Solution in Teleparallel f(T) Gravity Theories by Gamal G. L. Nashed

“…Using this tetrad, we get a differential equation from the scalar torsion T=TαμνSαμν. …”
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Theory of Frequency Captured of Eccentric Rotor by Vibration Environment with Same Direction by Su Ming, Li Rong, Xie Zhiping, Zheng Jiming

“…An integral mean method with small parameters and periodic coefficient (IMM-SPPC) is proposed, which converts the relative motion of the electrically driven eccentric rotor and the vibration environment into a second-order periodic coefficient differential equation. Through the calculation of the equilibrium point of the second-order periodic coefficient differential equation and the study of its stability, the synchronization criterion and the stability criterion of the eccentric rotor and the vibration environment are deduced. …”
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Investigating wave solutions in coupled nonlinear Schrödinger equation: insights into bifurcation, chaos, and sensitivity by Adil Jhangeer, Abdallah M. Talafha, Ariana Abdul Rahimzai, Lubomír Říha

“…The transformation of the coupled partial differential equation into ordinary differential equation is achieved by utilizing a complex wave variable. …”
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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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