Hyers-ulam stability of some fredholm integral equation

Liubin Hua; Jinghao Huang; Yongjin Li

doi:10.12732/ijpam.v104i1.9

Hyers-ulam stability of some fredholm integral equation

Liubin Hua
, Jinghao Huang
, Yongjin Li^*

^*Corresponding author for this work

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

5 Scopus citations

Abstract

We prove the Hyers-Ulam stability of some kinds of Fredholm integral equation. That is, if φ(t) is an approximate solution of a Fredholm integral equation, then there exists an exact solution of the differential equation near to φ(t).

Original language	English
Pages (from-to)	107-117
Number of pages	11
Journal	International Journal of Pure and Applied Mathematics
Volume	104
Issue number	1
DOIs	https://doi.org/10.12732/ijpam.v104i1.9
State	Published - 2015
Externally published	Yes

Keywords

Fourier transform
Fredholm integral equation
Hyers-Ulam stability

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10.12732/ijpam.v104i1.9

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@article{b1658d7ab8ab4ed7bf05196bfebfd909,

title = "Hyers-ulam stability of some fredholm integral equation",

abstract = "We prove the Hyers-Ulam stability of some kinds of Fredholm integral equation. That is, if φ(t) is an approximate solution of a Fredholm integral equation, then there exists an exact solution of the differential equation near to φ(t).",

keywords = "Fourier transform, Fredholm integral equation, Hyers-Ulam stability",

author = "Liubin Hua and Jinghao Huang and Yongjin Li",

note = "Publisher Copyright: {\textcopyright} 2015 Academic Publications, Ltd.",

year = "2015",

doi = "10.12732/ijpam.v104i1.9",

language = "英语",

volume = "104",

pages = "107--117",

journal = "International Journal of Pure and Applied Mathematics",

issn = "1311-8080",

publisher = "Academic Publications Ltd.",

number = "1",

}

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T1 - Hyers-ulam stability of some fredholm integral equation

AU - Hua, Liubin

AU - Huang, Jinghao

AU - Li, Yongjin

PY - 2015

Y1 - 2015

N2 - We prove the Hyers-Ulam stability of some kinds of Fredholm integral equation. That is, if φ(t) is an approximate solution of a Fredholm integral equation, then there exists an exact solution of the differential equation near to φ(t).

AB - We prove the Hyers-Ulam stability of some kinds of Fredholm integral equation. That is, if φ(t) is an approximate solution of a Fredholm integral equation, then there exists an exact solution of the differential equation near to φ(t).

KW - Fourier transform

KW - Fredholm integral equation

KW - Hyers-Ulam stability

UR - https://www.scopus.com/pages/publications/84941762804

U2 - 10.12732/ijpam.v104i1.9

DO - 10.12732/ijpam.v104i1.9

M3 - 文章

AN - SCOPUS:84941762804

SN - 1311-8080

VL - 104

SP - 107

EP - 117

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 1

ER -

Hyers-ulam stability of some fredholm integral equation

Abstract

Keywords

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