Volterra-Stieltjes integral operators

J. Banaś; D. O'Regan

doi:10.13025/23539

Volterra-Stieltjes integral operators

J. Banaś
, D. O'Regan

Mathematics

Rzeszów University of Technology

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

27 Citations (Scopus)

Abstract

We will study some properties of the integral operator of Volterra-Stieltjes type which is defined with help of the Stieltjes integral with the kernel depending on two real variables. The obtained results are applied to prove an existence result concerning nonlinear integral equation of Volterra-Stieltjes type.

Original language	English
Pages (from-to)	335-344
Number of pages	10
Journal	Mathematical and Computer Modelling
Volume	41
Issue number	2-3
DOIs	https://doi.org/10.13025/23539 https://doi.org/10.1016/j.mcm.2003.02.014
Publication status	Published - 1 Jan 2005

Keywords

Compact operator
Function of bounded variation
Integral operator
Monotonic function
Stieltjes integral

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10.13025/23539Licence: CC BY-NC-ND
10.1016/j.mcm.2003.02.014

Cite this

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abstract = "We will study some properties of the integral operator of Volterra-Stieltjes type which is defined with help of the Stieltjes integral with the kernel depending on two real variables. The obtained results are applied to prove an existence result concerning nonlinear integral equation of Volterra-Stieltjes type.",

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AU - O'Regan, D.

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AB - We will study some properties of the integral operator of Volterra-Stieltjes type which is defined with help of the Stieltjes integral with the kernel depending on two real variables. The obtained results are applied to prove an existence result concerning nonlinear integral equation of Volterra-Stieltjes type.

KW - Compact operator

KW - Function of bounded variation

KW - Integral operator

KW - Monotonic function

KW - Stieltjes integral

UR - http://hdl.handle.net/10379/8846

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JF - Mathematical and Computer Modelling

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ER -

Volterra-Stieltjes integral operators

Abstract

Keywords

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