Results 11 to 20 of about 13,060 (202)

Singularly perturbed linear oscillator with piecewise-constant argument

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2018
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
doaj   +1 more source

Singularly perturbed spectral problems with Neumann boundary conditions [PDF]

open access: yes, 2015
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.
core   +2 more sources

The Cauchy problem for singularly perturbed higher-order integro-differential equations

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2019
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
doaj   +1 more source

On the Reduction of Singularly-Perturbed Linear Differential Systems [PDF]

open access: yes, 2014
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
core   +3 more sources

Non-Resonant Non-Hyperbolic Singularly Perturbed Neumann Problem

open access: yesAxioms, 2022
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
doaj   +1 more source

On parametric Gevrey asymptotics for initial value problems with infinite order irregular singularity and linear fractional transforms [PDF]

open access: yes, 2018
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
core   +3 more sources

Stabilization arising from PGEM : a review and further developments [PDF]

open access: yes, 2009
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
core   +2 more sources

Asymptotic behavior of the solution of the integral boundary value problem for singularly perturbed integro-differential equations

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2021
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
doaj   +1 more source

An hybrid initial value method for singularly perturbed delay differential equations with interior layers and weak boundary layer

open access: yesAin Shams Engineering Journal, 2018
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
doaj   +1 more source

A Class of Shock Wave Solution to Singularly Perturbed Nonlinear Time-Delay Evolution Equations

open access: yesShock and Vibration, 2020
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
doaj   +1 more source

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