Hyers-Ulam stability of the linear differential operator with nonconstant coefficients

From MaRDI portal
Publication:2250173

DOI10.1016/j.amc.2012.07.056zbMath1368.34075OpenAlexW2041686274MaRDI QIDQ2250173

Dorian Popa, Ioan Raşa

Publication date: 4 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.07.056




Related Items (46)

On the Hyers-Ulam stability of certain nonautonomous and nonlinear difference equationsHyers-Ulam stability of Euler's differential equationOn the Hyers-Ulam stability of first-order impulsive delay differential equationsConnections between Hyers-Ulam stability and uniform exponential stability of 2-periodic linear nonautonomous systemsApproximation of analytic functions by solutions of Cauchy-Euler equationBest constant in stability of some positive linear operatorsUlam type stability of second-order linear differential equations with constant coefficients having damping term by using the Aboodh transformBest constant in Hyers-Ulam stability of first-order homogeneous linear differential equations with a periodic coefficientHyers-Ulam stability of first-order homogeneous linear differential equations with a real-valued coefficientExistence and Hyers-Ulam stability of solutions for a delayed hyperbolic partial differential equationHyers-Ulam stability with respect to gaugesUlam's-type stability of first-order impulsive differential equations with variable delay in quasi-Banach spacesLaplace transform and Hyers-Ulam stability of linear differential equationsSome stabilities of system of differential equations using Laplace transformParameterized shadowing for nonautonomous dynamicsApproximate perfect differential equations of second orderOn some recent developments in Ulam's type stabilityOn the stability analysis of Darboux problem on both bounded and unbounded domains.On approximate solutions of some delayed fractional differential equationsHyers-Ulam stability of the first-order matrix differential equationsUlam type stabilities of \(n\)-th order linear differential equations using Gronwall's inequalityHyers-Ulam-Rassias stability for nonautonomous dynamicsSemi-Hyers-Ulam-Rassias stability for an integro-differential equation of order \(n\)Best constant for Ulam stability of Hill's equationsOn the Hyers-Ulam stability of differential equations of second orderThe linear differential equations with complex constant coefficients and Schrödinger equationsThe Ulam stability of first order linear dynamic equations on time scalesApproximate solutions of the logistic equation and Ulam stabilityOn the Ulam stability of a class of Banach space valued linear differential equations of second orderHyers–Ulam stability for hyperbolic random dynamicsOn the best constant in Hyers-Ulam stability of some positive linear operatorsA general method for the Ulam stability of linear differential equationsHyers-Ulam stability for nonautonomous semilinear dynamics on bounded intervalsUlam-Hyers stability of a parabolic partial differential equationHyers-Ulam stability of associated Laguerre differential equations in a subclass of analytic functionsUnnamed ItemHyers-Ulam stability for a class of perturbed Hill's equationsInvariance of Hyers-Ulam stability of linear differential equations and its applicationsOn the best Ulam constant of the second order linear differential operatorExistence theory and Ulam's stabilities of fractional Langevin equationHyers-Ulam stability of hypergeometric differential equationsHyers-Ulam stability of first-order nonhomogeneous linear difference equations with a constant stepsizeOn Hyers-Ulam-Rassias stability of a Volterra-Hammerstein functional integral equationHyers-Ulam Stability of Some Differential Equations and Differential OperatorsUnnamed ItemA necessary and sufficient condition for Hyers-Ulam stability of first-order periodic linear differential equations



Cites Work


This page was built for publication: Hyers-Ulam stability of the linear differential operator with nonconstant coefficients