A generalized Halanay inequality for stability of nonlinear neutral functional differential equations.
Wang, Wansheng (2010)
Journal of Inequalities and Applications [electronic only]
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Wang, Wansheng (2010)
Journal of Inequalities and Applications [electronic only]
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Tunç, Cemil (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Moussadek Remili, Lynda Damerdji Oudjedi (2014)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this article, we shall establish sufficient conditions for the asymptotic stability and boundedness of solutions of a certain third order nonlinear non-autonomous delay differential equation, by using a Lyapunov function as basic tool. In doing so we extend some existing results. Examples are given to illustrate our results.
Tunç, Cemil (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Pinto, Manuel (1997)
International Journal of Mathematics and Mathematical Sciences
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Okoronkwo, Emmanuel O. (1989)
International Journal of Mathematics and Mathematical Sciences
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Gil, M.I., Ailon, A., Ahn, B.H. (1998)
Mathematical Problems in Engineering
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Liu, Zixin, Lü, Shu, Zhong, Shouming, Ye, Mao (2009)
Abstract and Applied Analysis
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Burton, T.A. (2005)
Fixed Point Theory and Applications [electronic only]
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Myshkis, Anatoly D. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Moussadek Remili, Lynda D. Oudjedi (2016)
Archivum Mathematicum
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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.