Existence of nonoscillatory solutions of higher order nonlinear neutral differential equations


ÇINA B., Candan T., ŞENEL M. T.

European Journal of Pure and Applied Mathematics, cilt.16, sa.2, ss.713-723, 2023 (Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.29020/nybg.ejpam.v16i2.4708
  • Dergi Adı: European Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.713-723
  • Anahtar Kelimeler: Fixed point, Higher -order, Neutral differential equation, Nonoscilla, tory solution
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper, an n-th order neutral nonlinear differential equation is studied. By using the Banach contraction principle, some sufficient conditions are established for the existence of nonoscillatory solutions of nonlinear n-th order neutral differential equation. An example is included to illustrate the results obtained.