On the boundedness and integration of non-oscillatory solutions of certain linear differential equations of second order

TUNÇ C., Tunc O.

JOURNAL OF ADVANCED RESEARCH, cilt.7, sa.1, ss.165-168, 2016 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.jare.2015.04.005
  • Dergi Adı: JOURNAL OF ADVANCED RESEARCH
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, CAB Abstracts, INSPEC, Veterinary Science Database, Directory of Open Access Journals
  • Sayfa Sayıları: ss.165-168
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, certain system of linear homogeneous differential equations of second-order is considered. By using integral inequalities, some new criteria for bounded and L-2[0, infinity)-solutions, upper bounds for values of improper integrals of the solutions and their derivatives are established to the considered system. The obtained results in this paper are considered as extension to the results obtained by Kroopnick (2014) [1]. An example is given to illustrate the obtained results. (C) 2015 Production and hosting by Elsevier B.V. on behalf of Cairo University.