Hyers-Ulam stability of exact second-order linear differential equations

DOI10.1186/1687-1847-2012-36zbMath1291.34091OpenAlexW2125195476WikidataQ59270895 ScholiaQ59270895MaRDI QIDQ2447988

Badrkhan Alizadeh, Madjid Eshaghi-Gordji, Chun-Gil Park, Mohammad Bagher Ghaemi

Publication date: 29 April 2014

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-36

zbMATH Keywords

Hyers-Ulam stabilityexact second-order linear differential equation

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (9)

Hyers-Ulam stability of first-order homogeneous linear differential equations with a real-valued coefficient ⋮ Hyers-Ulam stability of second-order linear dynamic equations on time scales ⋮ Approximate perfect differential equations of second order ⋮ Ulam type stabilities of \(n\)-th order linear differential equations using Gronwall's inequality ⋮ Best constant for Ulam stability of Hill's equations ⋮ Unnamed Item ⋮ Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order nonlinear dynamic equations ⋮ Invariance of Hyers-Ulam stability of linear differential equations and its applications ⋮ Hyers-Ulam stability for second order linear differential equations of Carathéodory type

Cites Work

• Hyers-Ulam stability of linear differential equations of second order
• On approximate Euler differential equations
• On some inequalities and stability results related to the exponential function
• Hyers-Ulam stability of linear differential equations of first order. II
• Hyers-Ulam stability of linear differential equations of first order. III
• ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy
• On the Stability of the Linear Mapping in Banach Spaces
• On the Stability of the Linear Functional Equation

This page was built for publication: Hyers-Ulam stability of exact second-order linear differential equations