The Impulsive Neutral Integro-Differential Equations with Infinite Delay and Non-Instantaneous Impulses

  • Authors

    • V. Usha
    • M. Mallika Arjunan
    2018-10-02
    https://doi.org/10.14419/ijet.v7i4.10.21314
  • Neutral equations, Equations with impulses, Non-instantaneous impulse condition, Integro-differential equations, fixed point theorem.

  • Abstract

    In this manuscript, we work to accomplish the Krasnoselskii's fixed point theorem to analyze the existence results for an impulsive neutral integro-differential equations  with infinite delay and non-instantaneous impulses in Banach spaces. By deploying the fixed point theorem with semigroup theory, we developed the coveted outcomes.

     

     

     

  • References

    1. [1] Herandez E & O'Regan D (2013), On a new class of abstract impulsive differential equations, Proceedings of the American Mathematical Society, 141 , 1641-1649.

      [2] Pazy A (1983), Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York.

      [3] Pierri M, O'Regan D & Rolnik V (2013), Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses, Applied Mathematics and Computation, 219, 6743-6749.

      [4] Nadeem M & Dabas J (2016), Existence Results for Fractional Stochastic Differential Equation with Impulsive Effect, International Journal of Nonlinear Science, 22, 131-139.

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  • How to Cite

    Usha, V., & Mallika Arjunan, M. (2018). The Impulsive Neutral Integro-Differential Equations with Infinite Delay and Non-Instantaneous Impulses. International Journal of Engineering & Technology, 7(4.10), 694-697. https://doi.org/10.14419/ijet.v7i4.10.21314

    Received date: 2018-10-08

    Accepted date: 2018-10-08

    Published date: 2018-10-02