Turkish Journal of Mathematics
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.
DOI
10.55730/1300-0098.3527
Keywords
Banach algebras, continuous solutions, fixed point theory, iterative differential equation
First Page
594
Last Page
607
Recommended Citation
BEN AMARA, K (2024). Existence and uniqueness of continuous solutions for iterative functional differential equations in Banach algebras. Turkish Journal of Mathematics 48 (3): 594-607. https://doi.org/10.55730/1300-0098.3527
