Convergence of solutions of nonlinear neutral differential equations with multiple delays

Tunc C.

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, cilt.21, sa.2, ss.219-231, 2015 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s40590-014-0050-6
  • Dergi Adı: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.219-231
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, on the basis of a new Lyapunov-Krasovskii functional and inequality technique, a set of novel sufficient conditions is derived for all solutions of a kind of nonlinear neutral differential equations of first order to approach zero as t -> infinity. The derived conditions are delay independent. An example is discussed to illustrate the efficiency of the result. Our result extends and improves some related ones in the literature.