A Novel Approach for the Stability Analysis of State Dependent Differential Equation

Erman S., DEMİR A.

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, cilt.7, sa.2, ss.105-113, 2016 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 2
  • Basım Tarihi: 2016
  • Dergi Adı: COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.105-113
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we investigate the stability of a differential equation with state-dependent delay under some conditions on delay term. New necessary and sufficient criterions are elaborated for the asymptotic stability of the differential equations with state dependent delay. Moreover, the asymptotic stability of it is illustrated for a special delay function.