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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Displaying similar documents to “On generalized Wazewski and Lozinskii inequalities for semilinear abstract differential-delay equations.”
A generalized Halanay inequality for stability of nonlinear neutral functional differential equations.
On the qualitative behavior of the solutions for a class of nonlinear third order differential equations with a retarted argument.
Tunç, Cemil (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Stability and Boundednessof the Solutions of Non Autonomous Third Order Differential Equations with Delay
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.
Some stability and boundedness conditions for non-autonomous differential equations with deviating arguments.
Tunç, Cemil (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Nonlinear delay-differential equations with small lag.
Pinto, Manuel (1997)
International Journal of Mathematics and Mathematical Sciences
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On stability and boundedness of solutions of a certain fourth-order delay differential equation.
Okoronkwo, Emmanuel O. (1989)
International Journal of Mathematics and Mathematical Sciences
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On absolute stability of nonlinear systems with small delays.
Gil, M.I., Ailon, A., Ahn, B.H. (1998)
Mathematical Problems in Engineering
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Improved robust stability criteria of uncertain neutral systems with mixed delays.
Liu, Zixin, Lü, Shu, Zhong, Shouming, Ye, Mao (2009)
Abstract and Applied Analysis
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Fixed points, stability, and harmless perturbations.
Burton, T.A. (2005)
Fixed Point Theory and Applications [electronic only]
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Razumikhin's method in the qualitative theory of processes with delay.
Myshkis, Anatoly D. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Boundedness and stability in third order nonlinear differential equations with multiple deviating arguments
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.
Exponential stability and estimation of solutions of linear differential systems of neutral type with constant coefficients.
Baštinec, J., Diblík, J., Khusainov, D.Ya., Ryvolová, A. (2010)
Boundary Value Problems [electronic only]
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Stability and Boundedness of Solutions of Some Third-order Nonlinear Vector Delay Differential Equation
Larbi Fatmi, Moussadek Remili (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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This paper investigates the stability of the zero solution and uniformly boundedness and uniformly ultimately boundedness of all solutions of a certain vector differential equation of the third order with delay. Using the Lyapunov–Krasovskiĭ functional approach, we obtain a new result on the topic and give an example for the related illustrations.