Global asymptotic stability in a class of nonlinear differential delay equations

Ivanov A. F., MƏMMƏDOV M.

Discrete and Continuous Dynamical Systems- Series A, no.SUPPL., pp.727-736, 2011 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Nəşr tarixi: 2011
  • jurnalın adı: Discrete and Continuous Dynamical Systems- Series A
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.727-736
  • Açar sözlər: Global asymptotic stability, Interval maps, Nonlinear differential delay equations, Reduction to multi-valued discrete maps, Singular perturbations
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

An essentially nonlinear differential equation with delay serving as a mathematical model of several applied problems is considered. Sufficient conditions for the global asymptotic stability of a unique equilibrium are derived. An application to a physiological model by M.C. Mackey is treated in detail.