Address:
Corresponding author: Moussadek Remili, Department of Mathematics, University of Oran 1 Ahmed Ben Bella, 31000 Oran, Algeria
Lynda Damerdji Oudjedi, Department of Mathematics, University of Oran 1 Ahmed Ben Bella, 31000 Oran, Algeria
E-mail:
remilimous@gmail.com
oudjedi@yahoo.fr
Abstract: In this paper, we establish some new sufficient conditions which guarantee the stability and boundedness of solutions of certain nonlinear and non autonomous differential equations of third order with delay. By defining appropriate Lyapunov function, we obtain some new results on the subject. By this work, we extend and improve some stability and boundedness results in the literature.
AMSclassification: primary 34C11; secondary 34D20.
Keywords: Lyapunov functional, delay differential equations, third-order differential equations.
DOI: 10.5817/AM2016-2-79