Boundedness analysis for certain two-dimensional differential systems via a Lyapunov approach

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Atıf İçin Kopyala

Tunc C.

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, cilt.53, sa.1, ss.61-68, 2010 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 53 Sayı: 1
• Basım Tarihi: 2010
• Dergi Adı: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.61-68
• Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, the problem of boundedness of solutions of a two-dimensional differential system is considered. Based on the Lyapunov function approach, a new boundedness criterion is derived in terms of this system. An example is given to show the effectiveness of our result.