Existence and uniqueness of solutions of Abel integral equations with power-law non-linearities

Evelyn Buckwar

doi:10.1016/j.na.2005.05.004

Existence and uniqueness of solutions of Abel integral equations with power-law non-linearities

Evelyn Buckwar

Institute of Stochastics

Research output: Contribution to journal › Article › peer-review

Abstract

In this article a class of nonlinear Abel-type integral equations is studied. These equations have at least the trivial solution, but we are interested in a continuous, positive solution. We show that there exists a unique positive solution in an order interval of a cone in a Banach space.

Original language	English
Pages (from-to)	88-96
Number of pages	9
Journal	Nonlinear Analysis: Theory, Methods and Applications
Volume	63
Issue number	1 A
DOIs	https://doi.org/10.1016/j.na.2005.05.004
Publication status	Published - 2005

Fields of science

101002 Analysis
101029 Mathematical statistics
101014 Numerical mathematics
101024 Probability theory
101015 Operations research
101026 Time series analysis
101019 Stochastics
107 Other Natural Sciences
211 Other Technical Sciences

JKU Focus areas

Computation in Informatics and Mathematics
Engineering and Natural Sciences (in general)

Access to Document

10.1016/j.na.2005.05.004

Cite this

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title = "Existence and uniqueness of solutions of Abel integral equations with power-law non-linearities",

abstract = "In this article a class of nonlinear Abel-type integral equations is studied. These equations have at least the trivial solution, but we are interested in a continuous, positive solution. We show that there exists a unique positive solution in an order interval of a cone in a Banach space.",

author = "Evelyn Buckwar",

year = "2005",

doi = "10.1016/j.na.2005.05.004",

language = "English",

volume = "63",

pages = "88--96",

journal = "Nonlinear Analysis: Theory, Methods and Applications",

issn = "1873-5215",

publisher = "Elsevier Science Ltd. (Pergamon), Oxford",

number = "1 A",

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AB - In this article a class of nonlinear Abel-type integral equations is studied. These equations have at least the trivial solution, but we are interested in a continuous, positive solution. We show that there exists a unique positive solution in an order interval of a cone in a Banach space.

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DO - 10.1016/j.na.2005.05.004

M3 - Article

SN - 1873-5215

VL - 63

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EP - 96

JO - Nonlinear Analysis: Theory, Methods and Applications

JF - Nonlinear Analysis: Theory, Methods and Applications

IS - 1 A

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