Stability in Nonlinear Delay Volterra Integro-differential Systems
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Authors
Youssef Raffoul
- Department of Mathematics, University of Dayton, Dayton, OH 45469-2316, USA.
Mehmet Ünal
- Faculty of Education, Sinop University, 5700 Sinop, Tutkey.
Abstract
We employ Lyapunov functionals to the system of Volterra integro-differential equations of the form
\[x'(t) = Px(t) - \int^ t _{t-r} C(t; s)g(x(s))ds,\]
and obtain conditions for the stability of the of the zero solution. In addition, we will furnish an example
as an application.
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ISRP Style
Youssef Raffoul, Mehmet Ünal, Stability in Nonlinear Delay Volterra Integro-differential Systems, Journal of Nonlinear Sciences and Applications, 7 (2014), no. 6, 422--428
AMA Style
Raffoul Youssef, Ünal Mehmet, Stability in Nonlinear Delay Volterra Integro-differential Systems. J. Nonlinear Sci. Appl. (2014); 7(6):422--428
Chicago/Turabian Style
Raffoul, Youssef, Ünal, Mehmet. "Stability in Nonlinear Delay Volterra Integro-differential Systems." Journal of Nonlinear Sciences and Applications, 7, no. 6 (2014): 422--428
Keywords
- Volterra integro-differential equations
- zero solution
- stability
- Lyapunov functional
MSC
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