Lyapunov-Krasovskii stability analysis of nonlinear integro-differential equation
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2018-04-28 https://doi.org/10.14419/ijamr.v7i2.10168
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Lyapunov-Krasovskii Functional, Uniform Asymptotic Stability, Integro-Differential Equation. -
Abstract
The purpose of this paper is to develop a qualitative stability analysis of a class of nonlinear integro-differential equation within the framework of Lyapunov-Krasovskii. We show that the existence of a Lyapunov-Krasovskii functional is a necessary and sufficient condition for the uniform asymptotic stability of the nonlinear Volterra integro-differential equations.
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References
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How to Cite
Jackreece, P. (2018). Lyapunov-Krasovskii stability analysis of nonlinear integro-differential equation. International Journal of Applied Mathematical Research, 7(2), 53-55. https://doi.org/10.14419/ijamr.v7i2.10168Received date: 2018-03-14
Accepted date: 2018-04-16
Published date: 2018-04-28