Hyers-Ulam Stability of Third Order System of Differential Equation

R. Murali¹ , A. Ponmana Selvan²

Section:Review Paper, Product Type: Isroset-Journal
Vol.6 , Issue.1 , pp.198-202, Feb-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i1.198202

Online published on Feb 28, 2019

Copyright © R. Murali, A. Ponmana Selvan . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, we study the Hyers-Ulam stability, Generalised Hyers-Ulam stability, Hyers-Ulam-Rassias stability and Generalised Hyers-Ulam-Rassias stability of the system of third order differential equation of the form x```(t)=f(t,x(t),x^` (t),x``(t))with initial conditions x(a)=x_0,x`(a)=x_1 and x``(a)=x_2 in Banach spaces.

Key-Words / Index Term :
Hyers-Ulam stability; Generalised Hyers-Ulam stability; Hyers-Ulam-Rassias stability; Generalised Hyers-Ulam-Rassias stability; system of differential equations; Initial conditions

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