International Journal of Functional Analysis, Operator Theory and Applications
Volume 8, Issue 1-2-3, Pages 1 - 14
(October 2016)
http://dx.doi.org/10.17654/FA008130001 |
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STABILITY AND INSTABILITY ANALYSIS IN FINITE DELAY NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
Faruk Kilinc, Babatunde Oni and Youssef Raffoul
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Abstract:
In this paper, we use Lyapunov functionals and obtain sufficient conditions for the exponential stability of the zero solution of the totally nonlinear Volterra integro-differential equation with uniformly distributed finite delay
wherethefunctions  and  arecontinuousontheirrespective domains and  In addition, we will arrive at some conditions that characterize the instability of the zero solution. |
| Keywords and phrases: nonlinear, Volterra, exponential stability, Lyapunov functional, instability. |
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