Asymptotic Stability of Solution of Lyapunov Type Matrix Volterra Integro-Dynamic System on Time Scales

Authors

  • G V. Ramana
  • G V. S. R. Deekshitulu
  • . .

DOI:

https://doi.org/10.14419/ijet.v7i3.31.18294

Published:

2018-08-24

Keywords:

Asymptotic stability, Lyapunov, integro systems, time scales.

Abstract

 

This article emphasizes the characteristics and nature of  asymptotic stability of solution of Lyapunov type matrix Volterra integro-dynamic system on time scales.

 

References

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[4] S.I. Grossman, R. K. Miller, “Perturbation theory for Volterra integro-differential systemâ€, J. diff. Equs Vol.8, (1970),

pp.451-474.

[5] S. Hilger, Ein Mabkettenkalkul mit Anwendung auf

Zentrumsmannigfaltigkeiten, PhD thesis, Universitat

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[6] B. Karpuz, Basics of volterra integral equations on time scales,

(2011).

[7] T. Kulik, C.C. Tisdell, “Volterra integral equations on time

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[8] V. Lupulescu, K. Ntouyas, and A.Younus, “Qualitative

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Differential Equations, Vol.5, (2013), pp.1-35.

[9] V. Volterra, Theory of functionals and integral and

integro-differential equations, Dover, New York, (1950).

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How to Cite

V. Ramana, G., V. S. R. Deekshitulu, G., & ., . (2018). Asymptotic Stability of Solution of Lyapunov Type Matrix Volterra Integro-Dynamic System on Time Scales. International Journal of Engineering & Technology, 7(3.31), 179–185. https://doi.org/10.14419/ijet.v7i3.31.18294

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Received 2018-08-26
Accepted 2018-08-26
Published 2018-08-24