Many Types of Stability of Abstract First and Second Order Linear Dynamic Equations on Time Scales

In this paper we investigate sufficient conditions for many types of stability of both of the abstract first order linear dynamic equations on time scales of the form   and the second order linear dynamic equations of the form   Where , the space of all bounded linear operators from a Banachspace 𝕏 into itself, and  is rd–continuous from a time scale 𝕋to 𝕏. Some givenillustrative examples show the applicability of the main results. Mathematics Subject Classifications:26E70, 34N05, 34K20, 39A30.