Qualitative aspects of Volterra integro-dynamic system on time scales

Abstract

This paper deals with the resolvent, asymptotic stability and boundedness of the solution of time-varying Volterra integro-dynamic system on time scales in which the coefficient matrix is not necessarily stable. We generalize at time scale some known properties about asymptotic behavior and boundedness from the continuous case. Some new results for discrete case are obtained.

Keywords

• time scale
• integro-dynamic system
• boundedness
• asymptotic behavior
• resolvent