Qualitative properties of certain non-linear differential systems of second order

TUNÇ, Cemil; Dinc, Yavuz

doi:10.1016/j.jtusci.2016.05.002

Qualitative properties of certain non-linear differential systems of second order

Atıf İçin Kopyala

TUNÇ C., Dinc Y.

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, cilt.11, sa.2, ss.359-366, 2017 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 11 Sayı: 2
Basım Tarihi: 2017
Doi Numarası: 10.1016/j.jtusci.2016.05.002
Dergi Adı: JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
Sayfa Sayıları: ss.359-366
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, we study the boundedness and square integrability of solutions in certain non-linear systems of differential equations of second order. We establish two new theorems, which include suitable sufficient conditions guaranteeing the boundedness and square integrability of solutions to the considered systems. The presented proofs simplify previous works since the Gronwall inequality is avoided which is the usual case. The technique of proof involves the integral test, and two examples are included to illustrate the results. (C) 2016 The Authors. Production and hosting by Elsevier B.V. on behalf of Taibah University.