Stability and boundedness of solutions of non-autonomous differential equations of second order


Tunc C.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, cilt.13, ss.1067-1074, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 13 Konu: 6
  • Basım Tarihi: 2011
  • Dergi Adı: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.1067-1074

Özet

This paper establishes some new sufficient conditions to ensure the stability and boundedness of solutions of certain second order non-autonomous and non-linear differential equations. By defining two appropriate Liapunov functions, we obtain three new results on the subject and give some examples to illustrate the theoretical analysis in this work. By this work, as well as two new results, we also extend and improve an important result from the literature.