On the stability and boundedness of solutions of nonlinear vector differential equations of third order

Tunc, Cemil

doi:10.1016/j.na.2008.03.002

On the stability and boundedness of solutions of nonlinear vector differential equations of third order

Atıf İçin Kopyala

Tunc C.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.70, sa.6, ss.2232-2236, 2009 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 70 Sayı: 6
Basım Tarihi: 2009
Doi Numarası: 10.1016/j.na.2008.03.002
Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2232-2236
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, by using Liapunov's second method, we establish some new results for stability and boundedness of solutions of nonlinear vector differential equations of third order. By constructing a Liapunov function, sufficient conditions for stability and boundedness of solutions of equations considered are obtained. Concerning to the subject, some explanatory examples are also given. Our results improve and include a result existing in the literature. (C) 2008 Elsevier Ltd. All rights reserved.