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


  •  Igobi, Dodi K    
  •  Ante, Jackson E    

Abstract

In this work, the solution of the impulsive neutral integro-differential system is analysed. The Du Bois–Reymond’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



This work is licensed under a Creative Commons Attribution 4.0 License.
  • Issn(Print): 1916-9795
  • Issn(Onlne): 1916-9809
  • Started: 2009
  • Frequency: bimonthly

Journal Metrics

Google-based Impact Factor (2018): 3.1

  • h-index (August 2018): 16
  • i10-index (August 2018): 35
  • h5-index (August 2018): 9
  • h5-median (August 2018): 9

( The data was calculated based on Google Scholar Citations. Click Here to Learn More. )

Contact