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

Jackson E Ante and Dodi K Igobi

Journal of Mathematics Research, 2018, vol. 10, issue 4, 165-174

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

Keywords: neutral system; resolvent matrix; existence; uniqueness (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:10:y:2018:i:4:p:165

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