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

Authors

  • 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

Issue

Section

Research articles

How to Cite

Bantsur, N. R., and E. P. Trofimchuk. “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.