Boundedness and stability in third order nonlinear differential equations with multiple deviating arguments

Remili, Moussadek   ; Oudjedi, Lynda D.

Archivum mathematicum, Tome 52 (2016) no. 2, pp. 79-90

Abstract (VO)

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.

Détail

DOI : 10.5817/AM2016-2-79

Classification : 34C11, 34D20
Keywords: Lyapunov functional; delay differential equations; third-order differential equations

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