Qualitative properties of certain non-linear differential systems of second order
Yükleniyor...
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
TAYLOR & FRANCIS LTD
Erişim Hakkı
info:eu-repo/semantics/openAccess
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.
Açıklama
Anahtar Kelimeler
Boundedness, Square integrability, Integral test, Non-linear, Differential system, Second order
Kaynak
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
11
Sayı
2
Künye
Tunç, C., & Dinç, Y. (2017). Qualitative properties of certain non-linear differential systems of second order. Journal of Taibah University for Science, 11(2), 359–366. https://doi.org/10.1016/j.jtusci.2016.05.002