AbstractWe study singularly perturbed Fredholm equations of the second kind. We give sufficient conditions for existence and uniqueness of solutions and describe the asymptotic behavior of the solutions. We examine the relationship between the solutions of the perturbed and unperturbed equations, exhibiting the degeneration of the boundary layer to delta functions. The results are applied to several examples including the Volterra equations
AbstractIn this work, a singularly perturbed second-order ordinary differential equation is solved b...
Singular perturbations occur when a small coefficient affects the highest order derivatives in a sys...
Abstract: In this paper homotopy perturbation is applied to system of linear Fredholm integral equat...
AbstractWe study singularly perturbed Fredholm equations of the second kind. We give sufficient cond...
We consider finding asymptotic solutions of the singularly perturbed linear Volterra in-tegral equat...
Several investigations have been made on singularly perturbed integral equations. This paper aims at...
This thesis studies singularly perturbed Volterra integral equations of the form eu(t)=/(t,e)+fg(t,...
We prove existence, local uniqueness and asymptotic estimates for boundary layer solutions to singul...
AbstractWe prove existence, local uniqueness and asymptotic estimates for boundary layer solutions t...
Asymptotic and numerical methods are used to study several classes of singularly perturbed boundary ...
The mathematical models of many processes in physics, astrophysics, chemistry, biology, mechanics an...
We consider a singularly perturbed integral equation with weakly and rapidly varying kernels. The wo...
The author considers a hypersingular integral equation over the interval perturbed by an integral op...
This book is devoted to the analysis of the basic boundary value problems for the Laplace equation i...
We develop the classical Vishik – Lyusternik – Vasil’eva – Imanaliev boundary-value method for const...
AbstractIn this work, a singularly perturbed second-order ordinary differential equation is solved b...
Singular perturbations occur when a small coefficient affects the highest order derivatives in a sys...
Abstract: In this paper homotopy perturbation is applied to system of linear Fredholm integral equat...
AbstractWe study singularly perturbed Fredholm equations of the second kind. We give sufficient cond...
We consider finding asymptotic solutions of the singularly perturbed linear Volterra in-tegral equat...
Several investigations have been made on singularly perturbed integral equations. This paper aims at...
This thesis studies singularly perturbed Volterra integral equations of the form eu(t)=/(t,e)+fg(t,...
We prove existence, local uniqueness and asymptotic estimates for boundary layer solutions to singul...
AbstractWe prove existence, local uniqueness and asymptotic estimates for boundary layer solutions t...
Asymptotic and numerical methods are used to study several classes of singularly perturbed boundary ...
The mathematical models of many processes in physics, astrophysics, chemistry, biology, mechanics an...
We consider a singularly perturbed integral equation with weakly and rapidly varying kernels. The wo...
The author considers a hypersingular integral equation over the interval perturbed by an integral op...
This book is devoted to the analysis of the basic boundary value problems for the Laplace equation i...
We develop the classical Vishik – Lyusternik – Vasil’eva – Imanaliev boundary-value method for const...
AbstractIn this work, a singularly perturbed second-order ordinary differential equation is solved b...
Singular perturbations occur when a small coefficient affects the highest order derivatives in a sys...
Abstract: In this paper homotopy perturbation is applied to system of linear Fredholm integral equat...
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