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

✍ Scribed by Cemil Tunç

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 351 KB
• Volume: 70
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2008.03.002

✦ Synopsis

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.