On the existence and stability of periodic and almost periodic solutions of quasilinear equations with maxima

• Date: 1998
• Main Authors: Bantsur, N. R., Trofimchuk, E. P., Банцур, Н. Р., Трофімчук, О. П.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4884
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 pr...