A maximum principle for optimal control problems with functional differential systems [PDF]
Maximum principle for optimal control problems with delay-differential system ...
Banks, H. T.
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Geometry of Stochastic Delay Differential Equations
Electronic Communications in Probability, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Catuogno, Pedro, Ruffino, Paulo
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Dynamics of a state-dependent delay-differential equation
Electronic Journal of Qualitative Theory of Differential EquationsWe present a detailed study of a scalar differential equation with threshold state-dependent delayed feedback. This equation arises as a simplification of a gene regulatory model.
Tomas Gedeon +4 more
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Periodic Solutions in a Simple Delay Differential Equation
Mathematical and Computational ApplicationsA simple-form scalar differential equation with delay and nonlinear negative periodic feedback is considered. The existence of several types of slowly oscillating periodic solutions is shown with the same and double periods of the feedback coefficient ...
Anatoli Ivanov, Sergiy Shelyag
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On the stability of the third order partial differential equation with time delay
Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, the initial value problem for a third-order partial differential equation with time delay within a Hilbert space was analyzed. We establish a key theorem regarding the stability of this problem.
A. Ashyralyev, S. Ibrahim, E. Hincal
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Accurate numerical scheme for singularly perturbed parabolic delay differential equation. [PDF]
BMC Res Notes, 2021 Woldaregay MM, Duressa GF.
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Asymptotic Stability of Differential Equations with Infinite Delay
Journal of Applied Mathematics, 2012 A theorem on asymptotic stability is obtained for a differential equation with an infinite delay in a function space which is suitable for the numerical computation of the solution to the infinite delay equation.
D. Piriadarshani, T. Sengadir
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Assessing the suitability for Aedes albopictus and dengue transmission risk in China with a delay differential equation model. [PDF]
PLoS Negl Trop Dis, 2021 Metelmann S +9 more
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Stability of delay differential equations via delayed matrix sine and cosine of polynomial degrees
Advances in Difference Equations, 2017 In this paper, we study the finite time stability of delay differential equations via a delayed matrix cosine and sine of polynomial degrees. Firstly, we give two alternative formulas of the solutions for a delay linear differential equation.
Chengbin Liang, Wei Wei, JinRong Wang
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Oscillatory behavior of the second order noncanonical differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2019 Establishing monotonical properties of nonoscillatory solutions we introduce new oscillatory criteria for the second order noncanonical differential equation with delay/advanced argument \begin{equation*} (r(t)y'(t))'+p(t)y(\tau(t))=0. \end{equation*}
Blanka Baculíková
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