Bantsur N. R.
On the existence and stability of periodic and almost periodic solutions of quasilinear equations with maxima
Ukr. Mat. Zh. - 1998. - 50, № 6. - pp. 747–754
We study the problem of existence of periodic and almost periodic solutions of the scalar equation x′ (t) = − δx(t) + pmax u∈[t − h, t] x(u) + f(t) where δ, p ∈ R, with a periodic (almost periodic) perturbation f(t). For these solutions, we establish conditions of global exponential stability and prove uniqueness theorems.