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    Positivity of Fundamental Matrix and Exponential Stability of Delay Differential System by Alexander Domoshnitsky, Roman Shklyar, Mikhail Gitman, Valery Stolbov

    Published 2014-01-01
    “…Then examples, which demonstrated that nonpositivity of nondiagonal coefficients pij is not necessary for systems of delay equations, were found. In this paper first sufficient results about nonnegativity of the Cauchy matrix of the delay system without this assumption are proven. …”
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    Growth response of Douglas fir to the first early and delayed thinning by Dušek David, Novák Jiří

    Published 2025-02-01
    “…The response of DF promising trees to delayed thinning was negligible. Neither early nor delayed thinning had a detectable effect on height growth of the DF promising trees. …”
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    Driven Force Induced Bifurcation Delay on the Chaotic Financial System by Balamurali Ramakrishnan, Mohamed Abdalla, Salah Boulaaras, Karthikeyan Rajagopal

    Published 2022-01-01
    “…Bifurcation delay is a phenomenon in which the bifurcation does not occur at the actual bifurcation point but rather at a later time, which is referred to as bifurcation delay. …”
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    Input-to-State Stability of Singularly Perturbed Control Systems with Delays by Yongxiang Zhao, Aiguo Xiao, Li Li

    Published 2013-01-01
    “…We study the input-to-state stability of singularly perturbed control systems with delays. By using the generalized Halanay inequality and Lyapunov functions, we derive the input-to-state stability of some classes of linear and nonlinear singularly perturbed control systems with delays.…”
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    Delayed Nephron Sparing Surgery for Grade IV Renal Injury by Parth K. Shah, Ryan W. Frieben, Rowena A. DeSouza

    Published 2013-01-01
    “…There is a dearth in the reporting of other surgical approaches, especially the delayed nephron sparing approach. Here, we present a unique case of a 29-year-old male that underwent a delayed nephron sparing nephrectomy for a persistent urinoma despite appropriate noninvasive therapy.…”
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  12. 252

    Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay by Xiaohua Ding, Wenxue Li

    Published 2006-01-01
    “…A kind of discrete system according to Nicholson's blowflies equation with a finite delay is obtained by the Euler forward method, and the dynamics of this discrete system are investigated. …”
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  13. 253

    Analysis of a Delayed SIR Model with Nonlinear Incidence Rate by Jin-Zhu Zhang, Zhen Jin, Quan-Xing Liu, Zhi-Yu Zhang

    Published 2008-01-01
    “…Numerical results demonstrate that the system with time delay exhibits rich complex dynamics, such as quasiperiodic and chaotic patterns.…”
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  14. 254

    Stability of Runge-Kutta Methods for Neutral Delay Differential Equations by Liping Wen, Xiong Liu, Yuexin Yu

    Published 2015-01-01
    “…This paper is concerned with the numerical stability of a class of nonlinear neutral delay differential equations. The numerical stability results are obtained for (k,l)-algebraically stable Runge-Kutta methods when they are applied to this type of problem. …”
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    Synchronization of Chaotic Delayed Neural Networks via Impulsive Control by Yang Fang, Kang Yan, Kelin Li

    Published 2014-01-01
    “…This paper is concerned with the impulsive synchronization problem of chaotic delayed neural networks. By employing Lyapunov stability theorem, impulsive control theory and linear matrix inequality (LMI) technique, several new sufficient conditions ensuring the asymptotically synchronization for coupled chaotic delayed neural networks are derived. …”
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  17. 257

    Stability of Impulsive Neural Networks with Time-Varying and Distributed Delays by Qi Luo, Xinjie Miao, Qian Wei, Zhengxin Zhou

    Published 2013-01-01
    “…The presented algebraic criteria are easily checked and do not require the differentiability of delays.…”
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  18. 258

    Dynamic Analysis of a Model for Spruce Budworm Populations with Delay by Ahmadjan Muhammadhaji, Azhar Halik

    Published 2021-01-01
    “…A class of delayed spruce budworm population model is considered. …”
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  19. 259

    Asymptotic Properties of Third-Order Delay Trinomial Differential Equations by J. Džurina, R. Komariková

    Published 2011-01-01
    “…The aim of this paper is to study properties of the third-order delay trinomial differential equation ((1/r(t))y′′(t))′+p(t)y′(t)+q(t)y(σ(t))=0, by transforming this equation onto the second-/third-order binomial differential equation. …”
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  20. 260

    The Asymptotic Behavior for a Class of Impulsive Delay Differential Equations by Zhichun Yang

    Published 2013-01-01
    “…This paper is concerned with asymptotical behavior for a class of impulsive delay differential equations. The new criteria for determining attracting sets and attracting basin of the impulsive system are obtained by developing the properties of quasi-invariant sets. …”
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