Open AccessControllability of nonlocal impulsive differential equations with measure of noncompactness
Author(s) -
Dhachinamoorthi Tamizharasan,
K. Karthikeyan
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1850/1/012109
Subject(s) - controllability , measure (data warehouse) , mathematics , lipschitz continuity , fixed point theorem , mathematical analysis , piecewise , compact space , differential equation , space (punctuation) , computer science , database , operating system
This paper deals with nonlocal conditions of impulsive differential equations with control. Here, we structure the measure of noncompactness and its properties in the space of piecewise continuous functions. Then, we acquire the controllability of impulsive differential equations with nonlocal conditions via compactness condition, Lipschitz conditions by using the Darbo-Sadovskii’s fixed point theorem and the property of noncompactness.