Hyers-Ulam-Rassias Stability of Abstract Dynamic Equations on Time Scales

نوع المستند : المقالة الأصلية

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This paper introduces the Hyers-Ulam-Rassias stability for abstract first order linear dynamic equation on time scales of the form,
 
.
 
and second order linear dynamic equation on time scales of the form,
 
where the space of all bounded linear operators from a Banach space into itself, and  is rd-continuous from a time scale to . Illustrative example is given to show the applicability of the theoretical results.
 

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