Open AccessExistence of solutions of an impulsive integro-differential equation with a general boundary value condition
Author(s) -
Bing Hu,
AUTHOR_ID,
Minbo Xu,
Zhizhi Wang,
Ji Lin,
Luyao Zhu,
Dingjiang Wang
Publication year - 2022
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.2022192
Subject(s) - boundary value problem , mathematics , monotone polygon , mathematical analysis , differential equation , integro differential equation , nonlinear system , initial value problem , first order partial differential equation , physics , geometry , quantum mechanics
In this paper, we discuss the existence of solutions for a first-order nonlinear impulsive integro-differential equation with a general boundary value condition. New comparison principles are developed, and existence results for extremal solutions are obtained using the established principles and the monotone iterative technique. The results are more general than those of the periodic boundary problems, which may be widely applied in this field.