Results 61 to 70 of about 3,589 (204)
Existence of solutions for mixed volterra-fredholm integral equations [PDF]
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]
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
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
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
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]
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]
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]
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]
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
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

