Singular integral equations arising in draining and coating flows

Donal O'Regan

doi:10.1016/j.amc.2008.08.026

Singular integral equations arising in draining and coating flows

Donal O'Regan

Mathematics

Research output: Chapter in Book or Conference Publication/Proceeding › Conference Publication › peer-review

Abstract

We present a very general existence theorem for a nonlinear singular integral equation using the Schauder-Tychonoff fixed point theorem. Our result automatically guarantees the existence of a positive solution to a problem arising in draining and coating flows. (C) 2008 Elsevier Inc. All rights reserved.

Original language	English (Ireland)
Title of host publication	APPLIED MATHEMATICS AND COMPUTATION
Publisher	ELSEVIER SCIENCE INC
Number of pages	3
Volume	205
ISBN (Electronic)	0096-3003
ISBN (Print)	0096-3003
DOIs	https://doi.org/10.1016/j.amc.2008.08.026
Publication status	Published - 1 Nov 2008

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10.1016/j.amc.2008.08.026

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title = "Singular integral equations arising in draining and coating flows",

abstract = "We present a very general existence theorem for a nonlinear singular integral equation using the Schauder-Tychonoff fixed point theorem. Our result automatically guarantees the existence of a positive solution to a problem arising in draining and coating flows. (C) 2008 Elsevier Inc. All rights reserved.",

author = "Donal O'Regan",

year = "2008",

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doi = "10.1016/j.amc.2008.08.026",

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AB - We present a very general existence theorem for a nonlinear singular integral equation using the Schauder-Tychonoff fixed point theorem. Our result automatically guarantees the existence of a positive solution to a problem arising in draining and coating flows. (C) 2008 Elsevier Inc. All rights reserved.

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DO - 10.1016/j.amc.2008.08.026

M3 - Conference Publication

SN - 0096-3003

VL - 205

BT - APPLIED MATHEMATICS AND COMPUTATION

PB - ELSEVIER SCIENCE INC

ER -

Singular integral equations arising in draining and coating flows

Abstract

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