The existence of the bounded solutions of a second order nonhomogeneous nonlinear differential equation

LAFCI BÜYÜKKAHRAMAN, MEHTAP

doi:10.31801/cfsuasmas.776651

The existence of the bounded solutions of a second order nonhomogeneous nonlinear differential equation

Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, cilt.70, sa.2, ss.612-621, 2021 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 70 Sayı: 2
Basım Tarihi: 2021
Doi Numarası: 10.31801/cfsuasmas.776651
Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.612-621
Uşak Üniversitesi Adresli: Evet

Özet

In this paper, we consider a second order nonlinear differential equation and establish two new theorems about the existence of the bounded solutions of a second order nonlinear differential equation. In these theorems, we use different Lyapunov functions with different conditions but we get the same result. In addition, two examples are given to support our results with some figures.