On the Global Existence and Boundedness of Solutions of Nonlinear Vector Differential Equations of Third Order

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Ayhan T., TUNÇ C.

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.