Qualitative properties in nonlinear Volterra integro-differential equations with delay

TUNÇ, Cemil

doi:10.1016/j.jtusci.2015.12.009

Qualitative properties in nonlinear Volterra integro-differential equations with delay

Atıf İçin Kopyala

TUNÇ C.

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, cilt.11, sa.2, ss.309-314, 2017 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 11 Sayı: 2
Basım Tarihi: 2017
Doi Numarası: 10.1016/j.jtusci.2015.12.009
Dergi Adı: JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
Sayfa Sayıları: ss.309-314
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This paper considers a class of scalar and vector nonlinear Volterra integro-differential equations of the first order with a constant delay. We demonstrate the stability, uniform stability, boundedness, convergence and square integrability of the solutions. The technique of proof involves defining appropriate Lyapunov functionals. Our results improve the results obtained in the literature. (C) 2016 The Author. Production and hosting by Elsevier B.V. on behalf of Taibah University.