Add to ORKGThe goal of this Section is to formulate some of the basic results on the theory of integral equations and mention some of its applications. The literature of this subject is very large. Proofs are not given due to the space restriction. The results are taken from the works mentioned in the references. 1. Fredholm equations 1.1. Fredholm alternative One of the most important results of the theory of integral equations is the Fredholm alternative. The results in this Subsection are taken from [5], [20],[21], [6]. Consider the equation u = Ku+ f, Ku
[[abstract]]In the present paper, we study the various useful methods of solv- ing the one-dimension...
This article concerns the entity of solutions of a quadratic integral equation of the Fredholm type ...
[[abstract]]In the present paper, we study the various useful methods of solv- ing the one-dimension...
The article presents a brief history of the emergence of integral equations. The practical significa...
AbstractIn this paper we consider a class of Fredholm integral equations of the first kind which ari...
AbstractThis paper considers an integral equation of the Fredholm type which plays an important role...
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equ...
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equ...
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equ...
AbstractA class of integral equations is investigated, particular examples of which occur in the con...
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equ...
AbstractIn this paper we consider a class of Fredholm integral equations of the first kind which ari...
Abstract. We apply the Kurzweil-Henstock integral setting to prove a Fredholm Alternative-type resul...
It is shown that certain Fredhom integral equations of the first kind can be written in terms of fra...
AbstractA method is given for constructing the solution to Fredholm integral equations of the second...
[[abstract]]In the present paper, we study the various useful methods of solv- ing the one-dimension...
This article concerns the entity of solutions of a quadratic integral equation of the Fredholm type ...
[[abstract]]In the present paper, we study the various useful methods of solv- ing the one-dimension...
The article presents a brief history of the emergence of integral equations. The practical significa...
AbstractIn this paper we consider a class of Fredholm integral equations of the first kind which ari...
AbstractThis paper considers an integral equation of the Fredholm type which plays an important role...
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equ...
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equ...
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equ...
AbstractA class of integral equations is investigated, particular examples of which occur in the con...
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equ...
AbstractIn this paper we consider a class of Fredholm integral equations of the first kind which ari...
Abstract. We apply the Kurzweil-Henstock integral setting to prove a Fredholm Alternative-type resul...
It is shown that certain Fredhom integral equations of the first kind can be written in terms of fra...
AbstractA method is given for constructing the solution to Fredholm integral equations of the second...
[[abstract]]In the present paper, we study the various useful methods of solv- ing the one-dimension...
This article concerns the entity of solutions of a quadratic integral equation of the Fredholm type ...
[[abstract]]In the present paper, we study the various useful methods of solv- ing the one-dimension...