fourth order delay differential equation

In this paper, a numerical method named as Initial Value Technique (IVT) is suggested to solve singularly perturbed boundary value problems for second order ordinary differential equations of reactiondiffusion type with a delay (negative shift). In this technique, the original problem of solving the second order differential equation is reduced to solving four first order singularly perturbed d...

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Positive solutions and convergence of Mann iterative schemes for a fourth order neutral delay difference equation

Journal: :Advances in Difference Equations 2015

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A comparison between two-scale asymptotic expansions and Bloch wave expansions for the homogenization of periodic structures

2017

Grégoire Allaire Marc Briane Muthusamy Vanninathan G. Allaire M. Briane M. Vanninathan

In this paper we make a comparison between the two-scale asymptotic expansion method for periodic homogenization and the so-called Bloch wave method. It is wellknown that the homogenized tensor coincides with the Hessian matrix of the first Bloch eigenvalue when the Bloch parameter vanishes. In the context of the two-scale asymptotic expansion method, there is the notion of high order homogeniz...

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Asymptotic Behaviour of Oscillatory Solutions of a Fourth-order Nonlinear Differential Equation

2002

M. Bartušek J. Osička

Asymptotic behaviour of oscillatory solutions of the fourth-order nonlinear differential equation with quasiderivates y[4] + r(t)f(y) = 0 is studied.

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