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Authors
Advisor(s)
Abstract(s)
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.
Description
Keywords
Hyers-Ulam stability sigma-semi-Hyers-Ulam stability Hyers-Ulam-Rassias stability Bessel equation Modi ed Bessel equation
Citation
Publisher
Universitet of Nis