Stability of neutral delay differential equations with applications in a model of human balancing
In this paper the exponential stability of linear neutral second order differential equations is studied. In contrast with many other works, coefficients and delays in our equations can be variable.
A. Domoshnitsky +4 more
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Arbitrary decay for a nonlinear Euler-Bernoulli beam with neutral delay [PDF]
In this paper, the free transverse vibration of a nonlinear Euler- Bernoulli beam under a neutral type delay is considered. In order to suppress the beam transverse vibrations, a boundary control based on the Lyapunov method is designed.
Lakehal Ibrahim +2 more
doaj +1 more source
An Oscillation Test for Solutions of Second-Order Neutral Differential Equations of Mixed Type
It is easy to notice the great recent development in the oscillation theory of neutral differential equations. The primary aim of this work is to extend this development to neutral differential equations of mixed type (including both delay and advanced ...
Osama Moaaz, Ali Muhib, Shyam S. Santra
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In the present work, we consider a one-dimensional Bresse-Timoshenko system with neutral delay term and a viscous damping acting on vertical displacement of the beam.
Houssem Eddine Khochemane +2 more
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Periodic Averaging Principle for Neutral Stochastic Delay Differential Equations with Impulses
In this paper, we study the periodic averaging principle for neutral stochastic delay differential equations with impulses under non-Lipschitz condition.
Peiguang Wang, Yan Xu
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Simplified Stability Criteria for Delayed Neutral Systems [PDF]
For a class of linear timeāinvariant neutral systems with neutral and discrete constant delays, several existing asymptotic stability criteria in the form of linear matrix inequalities (LMIs) are simplified by using matrix analysis techniques. Compared with the original stability criteria, the simplified ones include fewer LMI variables, which can ...
Zhang, Xinghua, Gao, Xiangyu, Su, Min
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Effect of time delay on recognition memory for pictures: the modulatory role of emotion. [PDF]
This study investigated the modulatory role of emotion in the effect of time delay on recognition memory for pictures. Participants viewed neutral, positive and negative pictures, and took a recognition memory test 5 minutes, 24 hours, or 1 week after ...
Bo Wang
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Neutral differential equations with noncanonical operator: Oscillation behavior of solutions
The objective of this work is to study the oscillatory behavior of neutral differential equations with several delays. By using both Riccati substitution technique and comparison with delay equations of first-order, we establish new oscillation criteria.
Elmetwally M. Elabbasy +4 more
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Differential equations of the neutral delay type: More efficient conditions for oscillation
In this article, we derive an optimized relationship between the solution and its corresponding function for second- and fourth-order neutral differential equations (NDE) in the canonical case.
Osama Moaaz, Wedad Albalawi
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Regularization of Neutral Delay Differential Equations with Several Delays
This paper is concerned with the system of neutral delay differential equations \[ \dot{y}(t)=f(y(t), \dot{y}(\alpha_1(y(t))), \cdots, \dot{y}(\alpha_m(y(t))) \text{ for } t>0, \] \[ y(t)=\varphi(t) \text{ for } t\leq 0, \] with smooth functions \(f(y, z_1, z_2, \cdots, z_m)\), \(\varphi(t)\) and \(\alpha_j(t)\).
GUGLIELMI, NICOLA, HAIRER E.
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