Results 1 to 10 of about 773 (267)

Asymptotics of the Solutions to Singularly Perturbed Integral Equations

Journal of Mathematical Analysis and Applications, 1993
The authors study the asymptotics of \(h_ \varepsilon\) as \(\varepsilon \to 0\), where \(h_ \varepsilon\) is a solution of the integral equation \((*)\) \(\varepsilon h_ \varepsilon+Rh_ \varepsilon=f\), \(\varepsilon>0\), \(Rh_ \varepsilon(x)=\int^ \beta_ \alpha R(x-y)h_ \varepsilon(y)dy\) with \(R(x)=P(D)G(x)\), \(P(D)=\sum^ p_{j=0}a_ jD^ j\), \(D=d ...
E I Shifrin
exaly   +3 more sources

Asymptotics of the Solutions to Singularly Perturbed Multidimensional Integral Equations

Journal of Mathematical Analysis and Applications, 1995
The object of the study in the paper is the singularly perturbed integral equation of the form \[ \varepsilon h_ \varepsilon(x)+ \int_ T R(x- y) h_ \varepsilon(y) dy= f(x),\tag{1} \] \(x\in T\), where \(\varepsilon> 0\) is a parameter, \(T\) is a bounded domain in \(\mathbb{R}^ n\) with a smooth boundary and \(f(x)\) is a given smooth function ...
E I Shifrin
exaly   +3 more sources

Asymptotics of Solutions of Some Integral Equations Connected with Differential Systems with a Singularity [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020
Our studies concern some aspects of scattering theory of the singular differential systems y ′ − x −1Ay − q(x)y = ρBy, x 0 with n × n matrices A, B, q(x), x ∈ (0, ∞), where A, B are constant and ρ is a spectral parameter.
M. Yu. Ignatyev
doaj   +3 more sources

The problem of acceleration in the dynamics of a double-link wheeled vehicle with arbitrarily directed periodic excitation [PDF]

Theoretical and Applied Mechanics, 2023
This study investigates the motion of a nonholonomic mechanical system that consists of two wheeled carriages articulated by a rigid frame. There is a point mass which oscillates at a given angle 𝛼 to the main axis of one of the carriages.
Mikishanina Evgeniya
doaj   +1 more source

Dynamics of full-coupled chains of a great number of oscillators with a large delay in couplings [PDF]

Известия высших учебных заведений: Прикладная нелинейная динамика, 2023
The subject of this work is the study of local dynamics of full-coupled chains of a great number of oscillators with a large delay in couplings. From a discrete model describing the dynamics of a great number of coupled oscillators, a transition has been
Kashchenko, Sergej Aleksandrovich
doaj   +1 more source

Uniform Approximation to the Solution of a Singularly Perturbed Boundary Value Problem with an Initial Jump

Mathematics, 2020
In this study, a third-order linear integro-differential equation with a small parameter at two higher derivatives was considered. An asymptotic expansion of the solution to the boundary value problem for the considered equation is constructed by ...
Assiya Zhumanazarova, Young Im Cho
doaj   +1 more source

Asymptotic growth of the 4d N $$ \mathcal{N} $$ = 4 index and partially deconfined phases

Journal of High Energy Physics, 2020
We study the Cardy-like asymptotics of the 4d N $$ \mathcal{N} $$ = 4 index and demonstrate the existence of partially deconfined phases where the asymptotic growth of the index is not as rapid as in the fully deconfined case.
Arash Arabi Ardehali, Junho Hong, James T. Liu   +2 more
doaj   +1 more source

Dirichlet problem for mixed type equation with characteristic degeneration

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
For a mixed elliptic-hyperbolic type equation with characteristic degeneration, the first boundary value problem in a rectangular region is investigated. The criterion for the uniqueness of the solution of the problem is established.
Yuliya Kamilevna Sabitova
doaj   +3 more sources

High-Order Integral Equation Methods for Diffraction Problems Involving Screens and Apertures [PDF]

, 2012
This thesis presents a novel approach for the numerical solution of problems of diffraction by infinitely thin screens and apertures. The new methodology relies on combination of weighted versions of the classical operators associated with the Dirichlet ...
Lintner, Stéphane Karl
core   +1 more source

Existence of solutions of integral equations with asymptotic conditions [PDF]

Nonlinear Analysis: Real World Applications, 2018
In this work we will consider integral equations defined on the whole real line and look for solutions which satisfy some certain kind of asymptotic behavior. To do that, we will define a suitable Banach space which, to the best of our knowledge, has never been used before.
Cabada Fernández, Alberto, López Somoza, Lucía, Fernández Tojo, Fernando Adrián   +2 more
openaire   +3 more sources