On the Global Existence and Boundedness of Solutions of Nonlinear Vector Differential Equations of Third Order
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, vol.11, no.1, pp.152-161, 2016 (ESCI)
- Publication Type: Article / Article
- Volume: 11 Issue: 1
- Publication Date: 2016
- Journal Name: APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL
- Journal Indexes: Emerging Sources Citation Index (ESCI)
- Page Numbers: pp.152-161
- Van Yüzüncü Yıl University Affiliated: Yes
Abstract
In this paper, we give some criteria to ensure the global existence and boundedness of solutions to a kind of third order nonlinear vector differential equations. By using the Lyapunov's direct method, we obtain a new result on the topic and give an example for the illustrations. Our result includes, completes and improves some earlier results in the literature.