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.
Nonlinear differential equation second order boundedness the Lyapunov second method
Birincil Dil | İngilizce |
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Konular | Uygulamalı Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 31 Aralık 2021 |
Gönderilme Tarihi | 3 Ağustos 2020 |
Kabul Tarihi | 3 Mart 2021 |
Yayımlandığı Sayı | Yıl 2021 Cilt: 70 Sayı: 2 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
This work is licensed under a Creative Commons Attribution 4.0 International License.