Center for Research and Development in Mathematics and Applications

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A Hyers-Ulam stability analysis for classes of Bessel equations

Publication . Castro, L. P.; Simões, A. M.

Mathematical modeling helps us to better understand different natural phenomena. Modeling is most of the times based on the consideration of appropriate equations (or systems of equations). Here, differential equations are well-known to be very useful instruments when building mathematical models { specially because that the use of derivatives offers several interpretations associated with real life laws. Differential equations are classi ed based on several characteristics and, in this way, allow different possibilities of building models. In this paper we will be concentrated in analysing certain stability properties of classes of Bessel differential equations. In fact, the main aim of this work is to seek adequate conditions to derive different kinds of stabilities for the Bessel equation and for the modi ed Bessel equation by considering a perturbation of the trivial solution. In this way, suficient conditions are obtained in order to guarantee Hyers-Ulam-Rassias, sigma-semi-Hyers-Ulam and Hyers-Ulam stabilities for those equations.

2021Journal article

Open access

Hyers-Ulam stability of a certain Fredholm integral equation

Publication . Simões, A. M.; Selvan, Ponmana

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 and non-homogeneous equation.

2021Journal article

Open access