Open AccessQuasilinearization method for an impulsive integro-differential system with delay
Author(s) -
Bing Hu,
Zhizhi Wang,
Minbo Xu,
Dingjiang Wang
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2022027
Subject(s) - quadratic growth , monotone polygon , convergence (economics) , mathematics , quadratic equation , differential equation , differential (mechanical device) , class (philosophy) , mathematical analysis , integro differential equation , computer science , first order partial differential equation , physics , geometry , artificial intelligence , economics , thermodynamics , economic growth
In this paper, we obtain solution sequences converging uniformly and quadratically to extremal solutions of an impulsive integro-differential system with delay. The main tools are the method of quasilinearization and the monotone iterative. The results obtained are more general and applicable than previous studies, especially the quadratic convergence of the solution for a class of integro-differential equations, which have been involved little by now.