Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3527
Abstract
This paper is devoted to studying the existence and uniqueness of continuous solutions of the following iterative functional differential equation d dt x(t) − h ( t, x[1](t), . . . , x[n](t) ) f (t, x[1](t), . . . , x[n](t)) = g ( t, x[1](t), . . . , x[n](t) ) , t ∈ J, x(0) = x0. By using of Boyd-Wong’s fixed point theorem and under suitable conditions, we establish the existence and uniqueness of a continuous solution.
Keywords
Banach algebras, continuous solutions, fixed point theory, iterative differential equation
First Page
594
Last Page
607
Recommended Citation
BEN AMARA, KHALED
(2024)
"Existence and uniqueness of continuous solutions for iterative functional
differential equations in Banach algebras,"
Turkish Journal of Mathematics: Vol. 48:
No.
3, Article 16.
https://doi.org/10.55730/1300-0098.3527
Available at:
https://journals.tubitak.gov.tr/math/vol48/iss3/16
