Open AccessQualitative aspects of Volterra integro-dynamic system on time scales
Author(s) -
Vasile Lupulescu,
Sotiris K. Ntouyas,
Awais Younus
Publication year - 2013
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2013.1.5
Subject(s) - resolvent , mathematics , dynamic equation , exponential stability , scale (ratio) , stability (learning theory) , volterra equations , discrete time and continuous time , mathematical analysis , nonlinear system , statistics , computer science , machine learning , physics , quantum mechanics
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 to a time scale some known properties about asymptotic behavior and boundedness from the continuous case. Some new results for the discrete case are obtained.
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