Asymptotic Behaviour of Solutions of Some Linear Delay Differential Equations
نویسنده
چکیده
In this paper we investigate the asymptotic properties of all solutions of the delay differential equation y′(x) = a(x)y(τ (x)) + b(x)y(x), x ∈ I = [x0,∞). We set up conditions under which every solution of this equation can be represented in terms of a solution of the differential equation z′(x) = b(x)z(x), x ∈ I and a solution of the functional equation |a(x)|φ(τ (x)) = |b(x)|φ(x), x ∈ I.
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