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Results on Existence and Uniqueness of Solution Of Impulsive Neutral Integro-Differential System

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  • Ante, Jackson E
  • Igobi, Dodi K

Abstract

In this work, the solution of the impulsive neutral integro-differential system is analysed. The Du Bois¨CReymond¡¯s assumptions on solution variation of piecewise smooth functions are used to establish the existence of only the impulsive term as a solution of the system at the points of discontinuity. The theories of infinitesimal generator of a strongly continuous compact semigroup is used to formulate theorems on existence and uniqueness of system solution, and proves are provided using an approximate piecewise continuous, compact operator and a continuous positive non decreasing function . Results obtained are improvement on the qualitative analysis of impulsive neutral integro-differential system

Suggested Citation

  • Ante, Jackson E & Igobi, Dodi K, 2018. "Results on Existence and Uniqueness of Solution Of Impulsive Neutral Integro-Differential System," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(4), pages 165-174, August.
    • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:4:p:165
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    Keywords

    neutral system; resolvent matrix; existence; uniqueness;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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