Integral operators of Urysohn-Stieltjes type

J. Banaś; D. O'Regan

doi:10.1007/s10998-005-0025-5

Integral operators of Urysohn-Stieltjes type

J. Banaś, D. O'Regan

Mathematics

Rzeszów University of Technology

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

We investigate some properties of nonlinear integral operators of Urysohn - Stieltjes type with kernels depending on two variables. Results concerning the continuity and compactness of these operators are obtained. The solvability of nonlinear Urysohn - Stieltjes integral equations is also studied.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Periodica Mathematica Hungarica
Volume	51
Issue number	2
DOIs	https://doi.org/10.1007/s10998-005-0025-5
Publication status	Published - Dec 2005

Keywords

Bounded variation
Compact operator
Integral equation of Urysohn-Stieltjes type
Nondecreasing function
Stieltjes integral

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10.1007/s10998-005-0025-5

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abstract = "We investigate some properties of nonlinear integral operators of Urysohn - Stieltjes type with kernels depending on two variables. Results concerning the continuity and compactness of these operators are obtained. The solvability of nonlinear Urysohn - Stieltjes integral equations is also studied.",

keywords = "Bounded variation, Compact operator, Integral equation of Urysohn-Stieltjes type, Nondecreasing function, Stieltjes integral",

author = "J. Bana{\'s} and D. O'Regan",

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T1 - Integral operators of Urysohn-Stieltjes type

AU - Banaś, J.

AU - O'Regan, D.

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N2 - We investigate some properties of nonlinear integral operators of Urysohn - Stieltjes type with kernels depending on two variables. Results concerning the continuity and compactness of these operators are obtained. The solvability of nonlinear Urysohn - Stieltjes integral equations is also studied.

AB - We investigate some properties of nonlinear integral operators of Urysohn - Stieltjes type with kernels depending on two variables. Results concerning the continuity and compactness of these operators are obtained. The solvability of nonlinear Urysohn - Stieltjes integral equations is also studied.

KW - Bounded variation

KW - Compact operator

KW - Integral equation of Urysohn-Stieltjes type

KW - Nondecreasing function

KW - Stieltjes integral

UR - https://www.scopus.com/pages/publications/30844468620

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DO - 10.1007/s10998-005-0025-5

M3 - Article

AN - SCOPUS:30844468620

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JO - Periodica Mathematica Hungarica

JF - Periodica Mathematica Hungarica

IS - 2

ER -

Integral operators of Urysohn-Stieltjes type

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Keywords

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