Hyers-Ulam stability of a certain Fredholm integral equation

Authors

ALBERTO SIMÕES
PONMANA SELVAN

DOI

10.3906/mat-2106-120

Abstract

In this paper, by using fixed point theorem we establish the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of certain homogeneous Fredholm Integral equation of the second kind $$ \phi(x) = \lambda \int_{0}^{1}(1+x+t) \, \phi(t) \, dt $$ and the nonhomogeneous equation $$ \phi(x) = x + \lambda \int_{0}^{1}(1+x+t) \, \phi(t) \, dt $$ for all $x \in [0,1]$ and $0

Keywords

Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Fredholm integral equation of second kind, fixed point theorem

First Page

87

Last Page

98

Recommended Citation

SIMÕES, ALBERTO and SELVAN, PONMANA (2022) "Hyers-Ulam stability of a certain Fredholm integral equation," Turkish Journal of Mathematics: Vol. 46: No. 1, Article 7. https://doi.org/10.3906/mat-2106-120
Available at: https://journals.tubitak.gov.tr/math/vol46/iss1/7