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

  • N. R. Bantsur
  • E. P. Trofimchuk

Abstract

We study the problem of existence of periodic and almost periodic solutions of the scalar equation x′ (t) = − δx(t) + pmax u∈[th, t] x(u) + f(t) where δ, pR, with a periodic (almost periodic) perturbation f(t). For these solutions, we establish conditions of global exponential stability and prove uniqueness theorems.
Published
25.06.1998
How to Cite
BantsurN. R., and TrofimchukE. P. “On the Existence and Stability of Periodic and Almost Periodic Solutions of Quasilinear Equations With Maxima”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 6, June 1998, pp. 747–754, https://umj.imath.kiev.ua/index.php/umj/article/view/4884.
Section
Research articles