Bound of solutions to third-order nonlinear differential equations with bounded delay

Tunc, Cemil

doi:10.1016/j.jfranklin.2009.05.001

Bound of solutions to third-order nonlinear differential equations with bounded delay

Atıf İçin Kopyala

Tunc C.

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, cilt.347, sa.2, ss.415-425, 2010 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 347 Sayı: 2
Basım Tarihi: 2010
Doi Numarası: 10.1016/j.jfranklin.2009.05.001
Dergi Adı: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.415-425
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

A theorem is presented that contains some sufficient conditions to ensure bound of solutions to a third-order nonlinear delay differential equation. It is shown that this theorem improves the result of Ponzo [On the stability of certain nonlinear differential equations, IEEE Trans. Automatic Control AC-10 (1965) 470-472] to the bound of solutions for the equation considered. (C) 2009 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.