Results 61 to 70 of about 3,589 (204)

Existence of solutions for mixed volterra-fredholm integral equations [PDF]

open access: yes, 2012
In this article, we give some results concerning the continuity of the nonlinear Volterra and Fredholm integral operators on the space L 1[0, ∞). Then by using the concept of measure of weak noncompactness, we prove an existence result for a functional ...
Sadarangani, Kishin   +2 more
core  

Nonlinear Fredholm Integral Equations [PDF]

open access: yes, 2020
In this paper, we present a new approximate method for solving systems of nonlinear Fredholm integral equation. This method is based on, first, differentiating both sides of integral equations n times and then substituting the Taylor series the unknown ...
Kübra Erdem, Salih Yalçınbaş
core  

Triangular functions method for the solution of Fredholm integral equations system

open access: yesAin Shams Engineering Journal, 2012
A numerical method based on orthogonal triangular functions (TFs) is proposed to approximate the solution of Fredholm integral equations systems. The powerful properties of orthogonal triangular functions are utilized in a direct method to reduce a ...
H. Almasieh, M. Roodaki
doaj   +1 more source

Linear Operators and Equations with Partial Integrals

open access: yesСовременная математика: Фундаментальные направления, 2019
We consider linear operators and equations with partial integrals in Banach ideal spaces, spaces of vector functions, and spaces of continuous functions. We study the action, regularity, duality, algebras, Fredholm properties, invertibility, and spectral
A S Kalitvin, V A Kalitvin
doaj   +1 more source

A Regularizing Parameter for Some Fredholm Integral Equations

open access: yesComputational Methods in Applied Mathematics, 2010
AbstractThe regularizing parameter appearing in some Fredholm integral equations of the second kind is discussed. Theoretical estimates and the results of numerical tests confirming the theoretical expectations are given.
openaire   +4 more sources

Parity and generalized multiplicity [PDF]

open access: yes, 1991
Assuming that X and Y are Banach spaces and that T is a path of linear Fredholm operators with invertible endpoints, in [F-Pl] we defined a homotopy invariant "the parity of T .
Fitzpatrickp.   +2 more
core  

Fredholm Solution of Linear Integral Equations [PDF]

open access: yes, 1965
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equation. By the method of successive approximations a solution can be obtained if the parameter λ is sufficiently small.
Furness, Dewey F.
core   +2 more sources

Fredholm integral equations of the second kind on upper Ahlfors regular sets [PDF]

open access: yes
openIn this thesis we study Fredholm integral equations of the second kind on upper Ahlfors regular sets and prove the Holder continuity of the solutions.
NORMAN, MANUEL
core  

Hybrid functions approach for the nonlinear Volterra–Fredholm integral equations [PDF]

open access: yes, 2011
An approximation method based on hybrid Legendre and Block–Pulse functions used for the solution of nonlinear Volterra–Fredholm integral equations (NV-FIEs). These hybrid functions operational matrices are presented and are utilized to reduce a nonlinear
E. Hashemizadeh   +5 more
core   +1 more source

Solving linear Fredholm-Stieltjes integral equations of the second kind by using the generalized Simpson’s rule

open access: yesMANAS: Journal of Engineering, 2016
In this paper, the generalized Simpson's rule (GSR) is applied to solve linear Fredholm-Stieltjes integral equations of the second kind (LFSIESK). A numerical example is presented to illustrate the method by using Maple.
A. Asanov, S. Yanık
doaj  

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