LYAPUNOV-RAZUMIKHIN METHOD FOR DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT

AKHMET M., Arugaslan D.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, cilt.25, sa.2, ss.457-466, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.3934/dcds.2009.25.457
  • Dergi Adı: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.457-466
  • Anahtar Kelimeler: Differential equations with piecewise constant argument of generalized type, Lyapunov's second method, Razumikhin technique, logistic equation, ALMOST-PERIODIC SOLUTIONS, GENERALIZED TYPE, GLOBAL STABILITY, DELAYS, PERSISTENCE, SYSTEMS, MODEL
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

At the first time, Razumikhin technique is applied for differential equations with piecewise constant argument of generalized type [1, 2]. Sufficient conditions are established for stability, uniform stability and uniform asymptotic stability of the trivial solution of such equations. We also provide appropriate examples to illustrate our results.