Hyers–Ulam stability of linear differential equations of first order, II

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

“…Taking some idea from [6], we investigate the Hyers-Ulam stability of exact secondorder linear differential equations. For the sake of convenience, we assume that all the integrals and derivations exist.…”

“…This result has been generalized by Takahasi et al [5] for the Banach space-valued differential equation y' = ly. Jung [6] Then there exists a unique real number x such that…”

Note on the stability of first order linear differential equations

“…Jung [4][5][6][7] applied the fixed point method for proving the Hyers-Ulam-Rassias stability of a Volterra integral equation of the second kind and for differential equations of first order. Using the same technique we prove the Hyers-Ulam-Rassias stability and Hyers-Ulam stability of differential equation…”

Hyers-Ulam Stability of First Order Linear Difference Operators on Banach Space

“…Recently, the Ulam's stability problem for functional equations has been replaced by stability of differential and difference equations (see for e.g. [ [1], [7], [8]- [10], [12], [13], [14], [15], [18], [21], [23]], [19], [24]). …”