Some results on a first-order neutral differential equation with piecewise constant mixed arguments

KAVGACI, MUSA; Al Obaidi, Huda; BEREKETOĞLU, HÜSEYİN

doi:10.1007/s10998-022-00512-3

Some results on a first-order neutral differential equation with piecewise constant mixed arguments

KAVGACI M. E., Al Obaidi H., BEREKETOĞLU H.

Periodica Mathematica Hungarica, cilt.87, sa.1, ss.265-277, 2023 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 87 Sayı: 1
Basım Tarihi: 2023
Doi Numarası: 10.1007/s10998-022-00512-3
Dergi Adı: Periodica Mathematica Hungarica
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
Sayfa Sayıları: ss.265-277
Anahtar Kelimeler: Neutral differential equations, Piecewise constant arguments, Oscillation, Nonoscillation, Convergency, ASYMPTOTIC STABILITY, PERIODIC-SOLUTIONS, 2ND-ORDER, BEHAVIOR, CRITERION
Ankara Üniversitesi Adresli: Evet

Özet

© 2023, Akadémiai Kiadó, Budapest, Hungary.In this paper, we consider a first order neutral differential equation with piecewise constant mixed arguments. We show the existence and uniqueness of solutions of the equation together a given initial condition. Moreover, for the considered equation we establish the conditions of oscillatory and convergency. We also give some examples that illustrate our results.