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, 2023 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16
  • Basım Tarihi: 2023
  • Doi Numarası: 10.29020/nybg.ejpam.v16i2.4708
  • Dergi Adı: European Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Anahtar Kelimeler: Fixed point, Higher -order, Neutral differential equation, Nonoscilla, tory solution
  • Erciyes 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.