Hyers–Ulam stability of second-order differential equations using Mahgoub transform
Antony Raj Aruldass, Divyakumari Pachaiyappan, Choonkil Park
Abstract
Abstract The aim of this research is investigating the Hyers–Ulam stability of second-order differential equations. We introduce a new method of investigation for the stability of differential equations by using the Mahgoub transform. This is the first attempt of the investigation of Hyers–Ulam stability by using Mahgoub transform. We deal with both homogeneous and nonhomogeneous second-order differential equations.
Topics & Concepts
MathematicsStability (learning theory)Ordinary differential equationHomogeneous differential equationDifferential equationNumerical partial differential equationsMathematical analysisHomogeneousDifferential algebraic equationPartial differential equationIntegrating factorApplied mathematicsOrder (exchange)Computer scienceFinanceCombinatoricsMachine learningEconomicsFunctional Equations Stability ResultsAdvanced Topics in Algebra