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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Okoronkwo, Emmanuel O. (1989)
International Journal of Mathematics and Mathematical Sciences
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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.
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.
Myshkis, Anatoly D. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Anashkin, Oleg
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Tunç, Cemil (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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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.