Results 21 to 30 of about 58,895 (80)

Approximated solution algorithms for Urysohn-type equations

, 2021
Problems of remote sensing and gravity, magnetic, seismic, geological prospecting use systems of indirect data measurement, which can be modeled with non-linear Urysohn equations. The paper presents equations of Urysohn type and their operator analogues.
V. Belozub, M. Kozlova, V. Lukianenko
semanticscholar   +1 more source

Modular filter convergence theorems for abstract sampling type operators

, 2013
We study the problem of approximating a real-valued function f by considering sequences of general operators of sampling type, which include both discrete and integral ones.
BARDARO, Carlo, BOCCUTO, Antonio, X. DIMITRIOU, MANTELLINI, Ilaria   +3 more
core   +2 more sources

Pointwise convergence of the family of nonlinear integral operators of the urysohn-type

, 2022
Bu tez beş bölümden oluşmaktadır. İlk bölüm, tezin girişine ayrılmış olup bu bölümde, Yaklaşımlar Teoerisi'nin başlangıcından günümüze kadar olan gelişim sürecine genel bir bakışta bulunulmuş; bu teorinin belli başlı çalışmalarına değinilmiş ve tezimizin
Kayabaşi, Davut
core  

Urysohn and Hammerstein operators on H"older spaces

, 2022
We present an application-oriented approach to Urysohn and Hammerstein integral operators acting between spaces of H"older continuous functions over compact metric spaces.
Pötzsche, Christian
core  

ON THE WEAK SOLUTIONS OF THE URYSOHN-STIELTJES FUNCTIONAL INTEGRAL EQUATIONS

, 2018
The analysis of Urysohn-Stieltjes integral operators has been studied in [1]. Here we study the existence of weakly solution of functional integral equations of Urysohn-Stieltjes type and Hammerstien-Stieltjes type in the reflexive Banach space E.
A. El-Sayed, M. Al-Fadel
semanticscholar   +1 more source

Compactness result and its applications in integral equations [PDF]

, 2015
A version of the Arzelà–Ascoli theorem for X being a σ-locally compact Hausdorff space is proved. The result is used in proving compactness of Fredholm, Hammerstein and Urysohn operators.
M. Krukowski, B. Przeradzki
semanticscholar   +1 more source

Solvability of Quadratic Integral Equations of Urysohn Type Involving Hadamard Variable-Order Operator

Fundamental Journal of Mathematics and Applications
This study investigates the existence of solutions to integral equations in the form of quadratic Urysohn type with Hadamard fractional variable order integral operator. Due to the lack of semigroup properties in variable-order fractional integrals, it becomes challenging to get the existence and uniqueness of corresponding integral equations, hence ...
Zoubida Bouazza, Mohammed Said Souıd, Amar Benkerrouche, Ali Yakar   +3 more
openaire   +2 more sources

Modular filter convergence theorems for abstract sampling type operators

, 2020
We study the problem of approximating a real-valued function f by considering sequences of general operators of sampling type, which include both discrete and integral ones. This approach gives a unitary treatment of various kinds of classical operators,
C Bardaro, I Mantellini, A Boccuto, X Dimitriou   +3 more
core   +1 more source

Some fixed point theorems and existence of weak solutions of Volterra integral equation under Henstock-Kurzweil-Pettis integrability [PDF]

, 2011
summary:In this paper we examine the set of weakly continuous solutions for a Volterra integral equation in Henstock-Kurzweil-Pettis integrability settings. Our result extends those obtained in several kinds of integrability settings.
Ben Amar, Afif
core   +1 more source

On monotonic solutions of some integral equations [PDF]

, 2005
summary:The aim of this paper is to obtain monotonic solutions of an integral equation of Urysohn-Stieltjes type in $C[0,1]$.
O'Regan, D., Sadarangani, K. B., Caballero, J.   +2 more
core