Results 11 to 20 of about 12,351 (211)

Singularly perturbed Neumann problems with potentials

open access: yesTopological Methods in Nonlinear Analysis, 2004
We study the existence of concentrating solutions of a singularly perturbed Neumann problems with two potentials.
Pomponio, Alessio
openaire   +7 more sources

Recovery problem for a singularly perturbed differential equation with an initial jump

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
The article investigates the asymptotic behavior of the solution to reconstructing the boundary conditions and the right-hand side for second-order differential equations with a small parameter at the highest derivative, which have an initial jump ...
D.N. Nurgabyl, S.S. Nazhim
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

Asymptotic methods for solving boundary value eigenvalue problems [PDF]

open access: yesE3S Web of Conferences, 2020
The aim of the study is an approximate construction with a given accuracy of solutions of boundary value problems for eigenvalues under various types of boundary conditions.
Zhukova Galina
doaj   +1 more source

Multiple boundary peak solutions for some singularly perturbed Neumann problems [PDF]

open access: yes, 2000
We consider the problem \left \{ \begin{array}{rcl} \varepsilon^2 \Delta u - u + f(u) = 0 & \mbox{ in }& \ \Omega\\ u > 0 \ \mbox{ in} \ \Omega, \ \frac{\partial u}{\partial \nu} = 0 & \mbox{ on }& \ \partial\Omega, \end{array} \right. where \
Gui, C, Wei, J, Winter, M
core   +1 more source

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

Parameter-uniformly convergent numerical scheme for singularly perturbed delay parabolic differential equation via extended B-spline collocation

open access: yesFrontiers in Applied Mathematics and Statistics, 2023
This paper presents a parameter-uniform numerical method to solve the time dependent singularly perturbed delay parabolic convection-diffusion problems.
Zerihun Ibrahim Hassen   +1 more
doaj   +1 more source

A High-Order Method for Stiff Boundary Value Problems with Turning Points [PDF]

open access: yes, 1987
This paper describes some high-order collocation-like methods for the numerical solution of stiff boundary-value problems with turning points. The presentation concentrates on the implementation of these methods in conjunction with the implementation of ...
Brown, David L., Lorenz, Jens
core   +1 more source

The Asymptotics of Solutions of a Singularly Perturbed Equation with a of Fractional Turning Point

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2017
We develop the classical Vishik – Lyusternik – Vasil’eva – Imanaliev boundary-value method for constructing uniform asymptotic expansions of solutions of singularly perturbed equations with singular points.
D. A. Tursunov, K. G. Kozhobekov
doaj   +1 more source

The existence, uniqueness and asymptotic estimates of solutions for third-order full nonlinear singularly perturbed vector boundary value problems

open access: yesBoundary Value Problems, 2020
In this paper, we discuss third-order full nonlinear singularly perturbed vector boundary value problems. We first present the existence of solutions for the nonlinear vector boundary value problems without perturbation by using the upper and lower ...
Xiaojie Lin, Jiang Liu, Can Wang
doaj   +1 more source

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