Stability tests and solution estimates for non-linear differential equations

Osman Tunç (Van Yüzüncü Yıl Üniversitesi, Başkale Meslek Yüksekokulu, Bilgisayar Programcılığı Bölümü, Van, Türkiye)
An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
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Yıl: 2023 Cilt: 13 Sayı: 1 Sayfa Aralığı: 92 - 102 Metin Dili: İngilizce DOI: 10.11121/ijocta.2023.1251 İndeks Tarihi: 12-07-2023

Stability tests and solution estimates for non-linear differential equations

Öz:
This article deals with certain systems of delay differential equations (DDEs) and a system of ordinary differential equations (ODEs). Here, five new theorems are proved on the fundamental properties of solutions of these systems. The results on the properties of solutions consist of sufficient conditions and they dealt with uniformly asymptotically stability (UAS), instability and integrability of solutions of unperturbed systems of DDEs, boundedness of solutions of a perturbed system of DDEs at infinity and exponentially stability (ES) of solutions of a system of nonlinear ODEs. Here, the techniques of proofs depend upon the Lyapunov- Krasovski? functional (LKF) method and Lyapunov function (LF) method. For illustrations, in particular cases, four examples are constructed as applications. Some results of this paper are given at first time in the literature, and the other results generalize and improve some related ones in the literature.
Anahtar Kelime: Delay differential equations Ordinary differential equations Lyapunov-Krasovski ̆ı functional method Second method of Lyapunov

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Tunç O (2023). Stability tests and solution estimates for non-linear differential equations. , 92 - 102. 10.11121/ijocta.2023.1251
Chicago Tunç Osman Stability tests and solution estimates for non-linear differential equations. (2023): 92 - 102. 10.11121/ijocta.2023.1251
MLA Tunç Osman Stability tests and solution estimates for non-linear differential equations. , 2023, ss.92 - 102. 10.11121/ijocta.2023.1251
AMA Tunç O Stability tests and solution estimates for non-linear differential equations. . 2023; 92 - 102. 10.11121/ijocta.2023.1251
Vancouver Tunç O Stability tests and solution estimates for non-linear differential equations. . 2023; 92 - 102. 10.11121/ijocta.2023.1251
IEEE Tunç O "Stability tests and solution estimates for non-linear differential equations." , ss.92 - 102, 2023. 10.11121/ijocta.2023.1251
ISNAD Tunç, Osman. "Stability tests and solution estimates for non-linear differential equations". (2023), 92-102. https://doi.org/10.11121/ijocta.2023.1251
APA Tunç O (2023). Stability tests and solution estimates for non-linear differential equations. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 13(1), 92 - 102. 10.11121/ijocta.2023.1251
Chicago Tunç Osman Stability tests and solution estimates for non-linear differential equations. An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 13, no.1 (2023): 92 - 102. 10.11121/ijocta.2023.1251
MLA Tunç Osman Stability tests and solution estimates for non-linear differential equations. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), vol.13, no.1, 2023, ss.92 - 102. 10.11121/ijocta.2023.1251
AMA Tunç O Stability tests and solution estimates for non-linear differential equations. An International Journal of Optimization and Control: Theories & Applications (IJOCTA). 2023; 13(1): 92 - 102. 10.11121/ijocta.2023.1251
Vancouver Tunç O Stability tests and solution estimates for non-linear differential equations. An International Journal of Optimization and Control: Theories & Applications (IJOCTA). 2023; 13(1): 92 - 102. 10.11121/ijocta.2023.1251
IEEE Tunç O "Stability tests and solution estimates for non-linear differential equations." An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 13, ss.92 - 102, 2023. 10.11121/ijocta.2023.1251
ISNAD Tunç, Osman. "Stability tests and solution estimates for non-linear differential equations". An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 13/1 (2023), 92-102. https://doi.org/10.11121/ijocta.2023.1251
Sayfa Oluşturulma Tarihi
04-05-2024 10:38

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