Open AccessExistence and uniqueness of extremal mild solutions for non-autonomous nonlocal integro-differential equations via monotone iterative technique
Author(s) -
Arshi Meraj,
Dwijendra N. Pandey
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1910985m
Subject(s) - mathematics , uniqueness , monotone polygon , banach space , mathematical analysis , differential equation , iterative method , work (physics) , space (punctuation) , mathematical optimization , geometry , mechanical engineering , linguistics , philosophy , engineering
In this work, we will discuss the existence and uniqueness of extremal mild solutions for non-autonomous integro-differential equations having nonlocal condition via monotone iterative method with upper and lower solutions in an ordered Banach space X, using evolution system and measure of noncompactness.