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Stability Criteria for Volterra Integrodynamic System

Nusrat Yasmin^a, Awais Younus^a✉, Usman Ali^a, Safia Mirza^a

^aCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60000, Pakistan
✉Corresponding author

Advances in Mathematical Physics Hindawi Publishing Corporation2015-01-01 1 citations20 references

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Abstract

We study conditions under which the solutions of linear Volterra integrodynamic system of the form yΔt=Atyt+∫t0tKt,sysΔs are stable on certain time scales. We construct a number of Lyapunov functionals on time scales from which we obtain necessary and sufficient conditions for stability of Volterra integrodynamic system and also we prove several results concerning qualitative behavior of this system.

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Stability Criteria for Volterra Integrodynamic System

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