FURTHER RESULTS ON THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR NEUTRAL DIFFERENTIAL EQUATIONS


Alsharif N. H. M., KARPUZ B.

Mathematica Bohemica, cilt.151, sa.4, ss.619-633, 2026 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 151 Sayı: 4
  • Basım Tarihi: 2026
  • Doi Numarası: 10.21136/mb.2025.0141-24
  • Dergi Adı: Mathematica Bohemica
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.619-633
  • Anahtar Kelimeler: globally asymptotic stability, globally attractivity, neutral differential equation, uniform stability
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

This paper focuses on the uniform stability of the zero solution and the asymptotic behavior of all solutions in the context of the neutral differential equation.(Formula present) where (Formula present). These results differ from most of the existing results in that our results extend to include values of (Formula present) for (⋆). Besides, the practical applicability of the given results is shown by a numerical example.