Asymptotic stability of nonlinear integrodifferential equation

  • Authors

    • Prebo Jackreece University of Port Harcourt
    • Stephen Aniaku University of Nigeria, Nsukka
    2018-04-19
    https://doi.org/10.14419/ijamr.v7i2.9592
  • Asymptotic Stability, Lyapunov Functional, Integro-Differential Equations.

  • Abstract

    The investigation of stability for nonlinear dynamical system often related to the construction of Lyapunov functionals. We employ Lyapunov functionals to the system of nonlinear Volterra integro-differential equations of the form  and obtain conditions for the asymptotic stability of the zero solution. Also, we give examples to illustrate the obtained results.

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  • How to Cite

    Jackreece, P., & Aniaku, S. (2018). Asymptotic stability of nonlinear integrodifferential equation. International Journal of Applied Mathematical Research, 7(2), 49-52. https://doi.org/10.14419/ijamr.v7i2.9592

    Received date: 2018-02-17

    Accepted date: 2018-03-29

    Published date: 2018-04-19