Asymptotic stability of the complex dynamic equation u(Delta) - z.u+w.u(sigma)=0

KARPUZ B.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.421, sa.1, ss.925-937, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 421 Sayı: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.jmaa.2014.07.052
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.925-937
  • Anahtar Kelimeler: Asymptotic stability, Dynamic equation, Complex exponential function, TIME SCALES
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this paper, we provide sharp conditions for the complex time scale exponential function tend to zero asymptotically. More precisely, we study the asymptotic stability of the unique complex solution u = e(z)circle minus(mu)w(.,s) of the initial value problem