ULAM STABILITY OF LINEAR DIFFERENTIAL EQUATIONS OF HIGHER ORDER USING ABOODH TRANSFORM

Authors

Sanmugam Baskaran 1Department of Mathematics, Sacred Heart College
Ramdoss Murali 2Department of Mathematics, Sacred Heart College
A. Ponmana Selvan Department of Mathematics, Kings Engineering College
Mana Donganont 4School of Science, University of Phayao
Choonkil Park 5Research Institute for Convergence of Basic Sciences, Hanyang University

Using the Aboodh transform, we prove the Hyers-Ulam stability of the nth order linear differential equation

x^(n) (υ) + ∑_{κ=0}^{n-1} a_κ x^{υ} = ϕ(υ)