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Floquet theory for a Volterra integro-dynamic system |
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| Authors: | RP Agarwal V Lupulescu D O’Regan A Younus |
| Institution: | 1. Department of Mathematics, Texas A&2. M University–Kingville, Kingsville, TX, USA.;3. Faculty of Science, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia.agarwal@tamuk.edu;5. Department of Finance and Accounting, Constantin Brancusi University, Targu-Jiu, Romania.;6. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland.;7. Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan. |
| Abstract: | In this paper, we study periodic linear Volterra systems on periodic time scales which include not only discrete and continuous dynamical systems but also systems with a mixture of discrete and continuous parts (e.g. hybrid dynamical systems). We discuss the relationship between the solution of the Volterra integro-dynamic system and the limiting equation of the corresponding system. We also develop integrability conditions of the resolvent of Volterra integro-dynamic systems. |
| Keywords: | periodicicity Volterra integro-dynamic limiting equation resolvent |