Connections between Morse sets for delay-differential equations.
Bernold Fiedler, John Mallet-Paret (1989)
Journal für die reine und angewandte Mathematik
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Bernold Fiedler, John Mallet-Paret (1989)
Journal für die reine und angewandte Mathematik
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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.
Sokhadze, Z. (1995)
Memoirs on Differential Equations and Mathematical Physics
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A. F. Ivanov (1989)
Banach Center Publications
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P. Chocholaty, L. Slahor (1979)
Numerische Mathematik
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Sonnenberg, Amnon, Crain, Bradford R. (2005)
Journal of Theoretical Medicine
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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...
K. G. Mavridis, Ch. G. Philos, P. Ch. Tsamatos (2006)
Annales Polonici Mathematici
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Second order nonlinear delay differential equations are considered, and Krasnosel'skiĭ's fixed point theorem is used to establish a result on the existence of positive solutions of a boundary value problem on the half-line. This result can be used to guarantee the existence of multiple positive solutions. A specification of the result obtained to the case of second order nonlinear ordinary differential equations as well as to a particular case of second order nonlinear delay differential...
Ch. G. Philos (2007)
Annales Polonici Mathematici
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This article is concerned with a boundary value problem on the half-line for nonlinear two-dimensional delay differential systems. By the use of the Schauder-Tikhonov theorem, a result on the existence of solutions is obtained. Also, via the Banach contraction principle, another result concerning the existence and uniqueness of solutions is established. Moreover, these results are applied to the special case of ordinary differential systems and to a certain class of delay differential...
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.
Kharatishvili, G., Tadumadze, T., Gorgodze, N. (2000)
Memoirs on Differential Equations and Mathematical Physics
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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.
Abbes Benaissa, Mostefa Miloudi, Mokhtar Mokhtari (2015)
Commentationes Mathematicae Universitatis Carolinae
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We consider the Bresse system in bounded domain with delay terms in the internal feedbacks and prove the global existence of its solutions in Sobolev spaces by means of semigroup theory under a condition between the weight of the delay terms in the feedbacks and the weight of the terms without delay. Furthermore, we study the asymptotic behavior of solutions using multiplier method.
Bingwen Liu, Lihong Huang (2005)
Annales Polonici Mathematici
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The authors use coincidence degree theory to establish some new results on the existence of T-periodic solutions for the delay differential equation x''(t) + a₁x'(t) + a₂(xⁿ(t))' + a₃x(t)+ a₄x(t-τ) + a₅xⁿ(t) + a₆xⁿ(t-τ) = f(t), which appears in a model of a power system. These results are of practical significance.