On cubic integral equations of urysohn-stieltjes type

Mohamed Abdalla Darwish; Donal O’regan

On cubic integral equations of urysohn-stieltjes type

Mohamed Abdalla Darwish
, Donal O’regan

Mathematics

Faculty of Science

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

Abstract

In this paper, we establish an existence theorem for a cubic Urysohn-Stieltjes integral equation in the Banach space C([0, 1]). The equation under consideration is a general form of numerous integral equations encountered in the theory of radioactive transfer, in the kinetic theory of gases and in the theory of neutron transport. Our main tools are the measure of noncompactness (related to monotonicity) and a fixed point theorem due to Darbo.

Original language	English
Pages (from-to)	156-167
Number of pages	12
Journal	Matematicki Vesnik
Volume	73
Issue number	3
Publication status	Published - 2021

Keywords

Cubic integral equation
Darbo’s fixed point theorem
Measure of noncompactness
Nondecreasing solutions
Stieltjes
Urysohn

Cite this

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abstract = "In this paper, we establish an existence theorem for a cubic Urysohn-Stieltjes integral equation in the Banach space C([0, 1]). The equation under consideration is a general form of numerous integral equations encountered in the theory of radioactive transfer, in the kinetic theory of gases and in the theory of neutron transport. Our main tools are the measure of noncompactness (related to monotonicity) and a fixed point theorem due to Darbo.",

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AU - Darwish, Mohamed Abdalla

AU - O’regan, Donal

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N2 - In this paper, we establish an existence theorem for a cubic Urysohn-Stieltjes integral equation in the Banach space C([0, 1]). The equation under consideration is a general form of numerous integral equations encountered in the theory of radioactive transfer, in the kinetic theory of gases and in the theory of neutron transport. Our main tools are the measure of noncompactness (related to monotonicity) and a fixed point theorem due to Darbo.

AB - In this paper, we establish an existence theorem for a cubic Urysohn-Stieltjes integral equation in the Banach space C([0, 1]). The equation under consideration is a general form of numerous integral equations encountered in the theory of radioactive transfer, in the kinetic theory of gases and in the theory of neutron transport. Our main tools are the measure of noncompactness (related to monotonicity) and a fixed point theorem due to Darbo.

KW - Cubic integral equation

KW - Darbo’s fixed point theorem

KW - Measure of noncompactness

KW - Nondecreasing solutions

KW - Stieltjes

KW - Urysohn

UR - https://www.scopus.com/pages/publications/85117297337

M3 - Article

AN - SCOPUS:85117297337

SN - 0025-5165

VL - 73

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EP - 167

JO - Matematicki Vesnik

JF - Matematicki Vesnik

IS - 3

ER -

On cubic integral equations of urysohn-stieltjes type

Abstract

Keywords

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