On pointwise convergence of the family of Urysohn-type integral operators
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Date
2019
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Wiley
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
In this paper, we consider a family of nonlinear integral operators of Urysohn-type and study the pointwise convergence of the family at characteristic points of L-1-function. The kernel K-lambda(x, t, u(t)) depends on the positive parameter lambda changing on the set of numbers with the accumulation point at infinity and K-lambda(x, t, u(t)) is an entire analytic function of variable u, which is a bounded function belonging to L-1(R).
Description
Keywords
Hammerstein integral, majorant kernels, nonlinear integral operators, Urysohn-type integral operators
Journal or Series
Mathematical Methods In The Applied Sciences
WoS Q Value
Q2
Scopus Q Value
Q1
Volume
42
Issue
16
Citation
closedAccess
