Results 11 to 20 of about 13,060 (202)
Singularly perturbed linear oscillator with piecewise-constant argument
The Cauchy problem for singularly perturbed linear differential equation the second order with piecewise-constant argument is considered in the article.
M. U. Akhmet +3 more
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Singularly perturbed spectral problems with Neumann boundary conditions [PDF]
The paper deals with the Neumann spectral problem for a singularly perturbed second order elliptic operator with bounded lower order terms. The main goal is to provide a refined description of the limit behaviour of the principal eigenvalue and ...
Piatnitski, A., Rybalko, A., Rybalko, V.
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The Cauchy problem for singularly perturbed higher-order integro-differential equations
The article is devoted to research the Cauchy problem for singularly perturbed higher-order linear integro-differential equation with a small parameter at the highest derivatives, provided that the roots of additional characteristic equation have ...
A. E. Mirzakulova +3 more
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On the Reduction of Singularly-Perturbed Linear Differential Systems [PDF]
In this article, we recover singularly-perturbed linear differential systems from their turning points and reduce the rank of the singularity in the parameter to its minimal integer value.
Abbas, Hassan +2 more
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Non-Resonant Non-Hyperbolic Singularly Perturbed Neumann Problem
In this brief note, we study the problem of asymptotic behavior of the solutions for non-resonant, singularly perturbed linear Neumann boundary value problems εy″+ky=f(t), y′(a)=0, y′(b)=0, k>0, with an indication of possible extension to more complex ...
Robert Vrabel
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On parametric Gevrey asymptotics for initial value problems with infinite order irregular singularity and linear fractional transforms [PDF]
This paper is a continuation a previous work of the authors where parametric Gevrey asymptotics for singularly perturbed nonlinear PDEs has been studied. Here, the partial differential operators are combined with particular Moebius transforms in the time
Lastra, Alberto, Malek, Stéphane
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Stabilization arising from PGEM : a review and further developments [PDF]
The aim of this paper is twofold. First, we review the recent Petrov-Galerkin enriched method (PGEM) to stabilize numerical solutions of BVP's in primal and mixed forms.
Araya +37 more
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The work is devoted to clarifying asymptotic with respect to a small parameter behavior of the solution of the integral boundary value problem for singularly perturbed linear integro-differential equation.
N. Aviltay, M. Akhmet
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In this paper, an hybrid initial value method on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equation with discontinuous convection coefficient and source term.
V. Subburayan
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A Class of Shock Wave Solution to Singularly Perturbed Nonlinear Time-Delay Evolution Equations
Nonlinear singularly perturbed problem for time-delay evolution equation with two parameters is studied. Using the variables of the multiple scales method, homogeneous equilibrium method, and approximation expansion method from the singularly perturbed ...
Yi-Hu Feng, Lei Hou
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