Oscillation of first-order differential equations with several non-monotone retarded arguments

BEREKETOĞLU H., KARAKOÇ F., SEYHAN ÖZTEPE G., Stavroulakis I. P.

GEORGIAN MATHEMATICAL JOURNAL, cilt.27, sa.3, ss.341-350, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1515/gmj-2019-2055
  • Dergi Adı: GEORGIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.341-350
  • Anahtar Kelimeler: Oscillation, retarded, differential equations, non-monotone arguments, DELAY, CRITERIA
  • Ankara Üniversitesi Adresli: Evet

Özet

Consider the first-order linear differential equation with several non-monotone retarded arguments x'(t) + Sigma(m)(i=1)p(i)(t)x(tau(i)(t)) = 0, t >= t(0), where the functions p(i), tau(i) epsilon C([t(0), infinity), R+), for every i = 1, 2,..., m, tau(i)(t) <= t for t >= t(0) and lim(t ->infinity )tau(i)(t) = infinity. New oscillation criteria which essentially improve the known results in the literature are established. An example illustrating the results is given.