Global asymptotic stability and boundedness of certainmulti-delay functional differential equations of third order

Graef, John; TUNÇ, Cemil

doi:10.1002/mma.3314

Global asymptotic stability and boundedness of certainmulti-delay functional differential equations of third order

Graef J. R., TUNÇ C.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.38, sa.17, ss.3747-3752, 2015 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 38 Sayı: 17
Basım Tarihi: 2015
Doi Numarası: 10.1002/mma.3314
Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.3747-3752
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, the authors give sufficient conditions for the boundedness and global asymptotic stability of solutions to certain nonlinear multi-delay functional differential equations of the third order. The technique of proof involves defining an appropriate Lyapunov-Krasovskii functional and applying LaSalle's invariance principle. An example is included to illustrate the results. Copyright (C) 2014 JohnWiley & Sons, Ltd.