A NOTE ON BOUNDEDNESS OF SOLUTIONS TO A CLASS OF NON-AUTONOMOUS DIFFERENTIAL EQUATIONS OF SECOND ORDER


Tunc C.

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, cilt.4, ss.361-372, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 4 Konu: 2
  • Basım Tarihi: 2010
  • Doi Numarası: 10.2298/aadm100601026t
  • Dergi Adı: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS
  • Sayfa Sayıları: ss.361-372

Özet

By defining some appropriate Liapunov functions, we discuss boundedness of solutions to a class of non-autonomous and nonlinear differential equations of second order. In this work, we prove some results established in the literature by Liapunov's second method instead of the integral test. We give six examples to illustrate the theoretical analysis in this work and effectiveness of the method utilized here.