On the stability of the linear differential equation of higher order with constant coefficients

DOI10.1016/j.amc.2010.09.062zbMath1211.34065OpenAlexW2062244932WikidataQ115361645 ScholiaQ115361645MaRDI QIDQ618117

Dorian Popa, Dalia Sabina Cimpean

Publication date: 14 January 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.09.062

zbMATH Keywords

linear differential equationsHyers-Ulam stabilityAoki-Rassias stability

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Linear differential equations in abstract spaces (34G10)

Related Items (33)

Hyers-Ulam stability of Euler's differential equation ⋮ Connections between Hyers-Ulam stability and uniform exponential stability of 2-periodic linear nonautonomous systems ⋮ Approximation of analytic functions by solutions of Cauchy-Euler equation ⋮ Ulam type stability of second-order linear differential equations with constant coefficients having damping term by using the Aboodh transform ⋮ Hyers-Ulam stability with respect to gauges ⋮ On the Ulam stability of first order linear fuzzy differential equations under generalized differentiability ⋮ Laplace transform and Hyers-Ulam stability of linear differential equations ⋮ On some recent developments in Ulam's type stability ⋮ Power series method and approximate linear differential equations of second order ⋮ On approximate solutions of some delayed fractional differential equations ⋮ Semi-Hyers-Ulam-Rassias stability for an integro-differential equation of order \(n\) ⋮ Unnamed Item ⋮ On the Hyers-Ulam stability of differential equations of second order ⋮ The Fréchet functional equation with application to the stability of certain operators ⋮ Hyers-Ulam stability of non-autonomous systems in terms of boundedness of Cauchy problems ⋮ Fourier transformation and stability of a differential equation on \(L^1(\mathbb{R})\) ⋮ The linear differential equations with complex constant coefficients and Schrödinger equations ⋮ The Ulam stability of first order linear dynamic equations on time scales ⋮ Hyers-Ulam-Rassias stability of first order linear partial fuzzy differential equations under generalized differentiability ⋮ On the Ulam stability of a class of Banach space valued linear differential equations of second order ⋮ Hyers-Ulam stability of the linear differential operator with nonconstant coefficients ⋮ On the Hyers-Ulam stability of the linear differential equation ⋮ A general method for the Ulam stability of linear differential equations ⋮ On fixed points of a linear operator of polynomial form of order 3 ⋮ Unnamed Item ⋮ Ulam-Hyers stability of a parabolic partial differential equation ⋮ Invariance of Hyers-Ulam stability of linear differential equations and its applications ⋮ Perturbation of the one-dimensional time-independent Schrödinger equation with a rectangular potential barrier ⋮ Hyers-Ulam stability of first-order linear differential equations using Aboodh transform ⋮ On Hyers-Ulam-Rassias stability of a Volterra-Hammerstein functional integral equation ⋮ Hyers-Ulam Stability of Some Differential Equations and Differential Operators ⋮ A fixed point approach to the stability of linear differential equations ⋮ Remarks on the Hyers-Ulam stability of some systems of functional equations

Cites Work

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