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

Yükleniyor...
Küçük Resim

Tarih

2017

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