Linear Differential Equations with Unbounded Delays and a Forcing Term
نویسنده
چکیده
The paper discusses the asymptotic behaviour of all solutions of the differential equation ẏ(t) =−a(t)y(t) +∑ni=1 bi(t)y(τi(t)) + f (t), t ∈ I = [t0,∞), with a positive continuous function a, continuous functions bi, f , and n continuously differentiable unbounded lags. We establish conditions under which any solution y of this equation can be estimated by means of a solution of an auxiliary functional equation with one unbounded lag. Moreover, some related questions concerning functional equations are discussed as well.
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