New criteria for the oscillation and asymptotic behavior of second-order neutral differential equations with several delays

KARPUZ B., Santra S. S.

TURKISH JOURNAL OF MATHEMATICS, vol.44, no.6, pp.1990-2003, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 6
  • Publication Date: 2020
  • Doi Number: 10.3906/mat-2006-103
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1990-2003
  • Keywords: Oscillation, nonoscillation, nonlinear, delay argument, second-order neutral differential equations, Lebesgue's dominated convergence theorem, THEOREMS
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this paper, necessary and sufficient conditions for asymptotic behavior are established of the solutions to second-order neutral delay differential equations of the form