On a theorem of Myshkis-Tsalyuk.
Sokhadze, Z. (1995)
Memoirs on Differential Equations and Mathematical Physics
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Displaying similar documents to “Characterization of shadowing for linear autonomous delay differential equations”
On a theorem of Myshkis-Tsalyuk.
On a singular perturbed differential delay equation
A. F. Ivanov (1989)
Banach Center Publications
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Scheduling medical procedures: how one single delay begets multiple subsequent delays.
Sonnenberg, Amnon, Crain, Bradford R. (2005)
Journal of Theoretical Medicine
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Oscillation of delay differential equations
J. Džurina (1997)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Our aim in this paper is to present the relationship between property (B) of the third order equation with delay argument y'''(t) - q(t)y(τ(t)) = 0 and the oscillation of the second order delay equation of the form y''(t) + p(t)y(τ(t)) = 0.
Delay differential systems with time-varying delay: new directions for stability theory
James Louisell (2001)
Kybernetika
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In this paper we give an example of Markus–Yamabe instability in a constant coefficient delay differential equation with time-varying delay. For all values of the range of the delay function, the characteristic function of the associated autonomous delay equation is exponentially stable. Still, the fundamental solution of the time-varying system is unbounded. We also present a modified example having absolutely continuous delay function, easily calculating the average variation of the...
Delay-dependent asymptotic stabilitzation for uncertain time-delay systems with saturating actuators
Pin-Lin Liu (2005)
International Journal of Applied Mathematics and Computer Science
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This paper concerns the issue of robust asymptotic stabilization for uncertain time-delay systems with saturating actuators. Delay-dependent criteria for robust stabilization via linear memoryless state feedback have been obtained. The resulting upper bound on the delay time is given in terms of the solution to a Riccati equation subject to model transformation. Finally, examples are presented to show the effectiveness of our result.
Continuous dependence and differentiability of solutions with respect to initial data and right-hand side for differential equations with deviating argument.
Kharatishvili, G., Tadumadze, T., Gorgodze, N. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Global existence results for second order neutral functional differential equation with state-dependent delay
Mouffak Benchohra, Imene Medjadj (2016)
Commentationes Mathematicae Universitatis Carolinae
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Our aim in this work is to provide sufficient conditions for the existence of global solutions of second order neutral functional differential equation with state-dependent delay. We use the semigroup theory and Schauder's fixed point theorem.
Existence results for delay second order differential inclusions
Dalila Azzam-Laouir, Tahar Haddad (2008)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper, some fixed point principle is applied to prove the existence of solutions for delay second order differential inclusions with three-point boundary conditions in the context of a separable Banach space. A topological property of the solutions set is also established.