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


Ayhan T., TUNÇ C.

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, cilt.11, ss.152-161, 2016 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 11 Konu: 1
  • Basım Tarihi: 2016
  • Dergi Adı: APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL
  • Sayfa Sayıları: ss.152-161

Özet

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.