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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Tunç, Cemil (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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 (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Liu, Zixin, Lü, Shu, Zhong, Shouming, Ye, Mao (2009)
Abstract and Applied Analysis
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Silviu-Iulian Niculescu (2001)
Kybernetika
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This paper focuses on the problem of uniform asymptotic stability of a class of linear neutral systems including some constant delays and time-varying cone-bounded nonlinearities. Sufficient stability conditions are derived by taking into account the weighting factors describing the nonlinearities. The proposed results are applied to the stability analysis of a class of lossless transmission line models.
Yu, Ker-Wei (2009)
Mathematical Problems in Engineering
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Burton, T.A., Makay, G. (1998)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Diblík, J., Zafer, A. (2011)
Abstract and Applied Analysis
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Knyazhishche, L.B., Shcheglov, V.A. (1998)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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