Hyers-Ulam stability of the solutions of differential equations
Stabilnost rešenja diferencijalnih jednačina u smislu Hajersa i Ulama
Author
Alqifiary, Qusuay Hatim EghaarMentor
Knežević-Miljanović, JulkaCommittee members
Jovanović, BoškoSpalević, Miodrag
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This thesis has been written under the supervision of my mentor Prof. dr. Julka
Knezevic-Miljanovic at the University of Belgrade in the academic year 2014-2015.
The aim of this study is to investigate Hyers-Ulam stability of some types of
differential equations, and to study a generalized Hyers-Ulam stability and as
well as a special case of the Hyers-Ulam stability problem, which is called the
superstability. Therefore, when there is a differential equation, we answer the
three main questions:
1- Does this equation have Hyers -Ulam stability?
2- What are the conditions under which the differential equation has stability ?
3- What is a Hyers-Ulam constant of the differential equation?