Boundedness in Nonlinear Perturbed Functional Differential Systems

Abstract

In this paper, we investigate bounds for solutions of the nonlinear perturbed functional differential systems using the notion of t∞similarity.

BOUNDEDNESS IN NONLINEAR FUNCTIONAL DIFFERENTIAL SYSTEMS VIA t∞-SIMILARITY

“…Let u, λ 1 , λ 2 , λ 3 , λ 4 , λ 5 , λ 6 , λ 7 ∈ C(R + ), w ∈ C((0, ∞)) and w(u) be nondecreasing in u, u ≤ w(u). Suppose that, for some c ≥ 0, we have…”

“…Choi and Ryu [3], and Choi et al [4] investigated h-stability and bounds for solutions of the perturbed functional differential systems. Also, Goo [6,7,8] and Goo et al [9] studied boundedness of solutions for the perturbed functional differential systems.…”