Electronic Journal of Qualitative Theory of Differential Equations


	Journal supported by: Bolyai Institute, University of Szeged and the Hungarian Academy of Sciences	ISSN: HU ISSN 1417-3875

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Qualitative aspects of Volterra integro-dynamic system on time scales

Lupulescu, V., Constantin Brancusi University, Targu-Jiu, Romania

Ntouyas, S. K., University of Ioannina, Ioannina, Greece

Younus, A., Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan

Electron. J. Qual. Theory Differ. Equ. 2013, No. 5, 1-35. DOI: https://doi.org/10.14232/ejqtde.2013.1.5

Communicated by Purnaras, Ioannis K.

Received on 2012-05-25
Appeared on 2013-01-03

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

Mathematics Subject Classification: 45D05, 34N05, 34D05, 39A12

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