Open AccessGlobal existence results for second order functional differential equations with delay
Author(s) -
Eman Salem Alaidarous,
Mouffak Benchohra,
Imène Medjadj
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/fil1903773a
Subject(s) - mathematics , fixed point theorem , bounded function , order (exchange) , delay differential equation , functional differential equation , trigonometric functions , differential equation , mathematical analysis , fixed point , geometry , finance , economics
Our aim in this work is to study the existence of global mild solutions of a second order functional differential equation with delay. We use the Schauder fixed point theorem combined with the cosine family of linear bounded operators for the existence of solutions.