
We present several new sufficient conditions for Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear dynamic equations for functions defined on a time scale with values in a Banach space.
Dynamic equations on time scales or measure chains, Linear differential equations in abstract spaces, time scales, first-order linear dynamic equations, Perturbations of ordinary differential equations, Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Nonlinear differential equations in abstract spaces, first-order nonlinear dynamic equations
Dynamic equations on time scales or measure chains, Linear differential equations in abstract spaces, time scales, first-order linear dynamic equations, Perturbations of ordinary differential equations, Hyers-Ulam stability, Hyers-Ulam-Rassias stability, Nonlinear differential equations in abstract spaces, first-order nonlinear dynamic equations
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