differential equation with delay.
A differential equation with state-dependent delay from cell population biology
... a differential equation with a state-dependent delay that is implicitly defined via the solution of an ...The equation describes an estab- lished though little analyzed cell population ...
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Extinction of a delay differential equation model of plankton allelopathy
... Chen et al.[6] proposed a delay differential equation model of plankton allelopathy, which is described by system (1.5). Using a fluctuation theorem, sufficient conditions which guarantee one of the ...
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New Oscillation and Nonoscillation Criteria for a Class of Linear Delay Differential Equation
... Delay differential equations includes much more complicated dynamics than ordinary differential ...Time delay may cause stable equilibrium to unstable and may leads to populations fluctuation ...
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Explicit Multistep Block Method for Solving Neutral Delay Differential Equation
... neutral delay differential equation (NDDE) of constant delay type by applying explicit ...The delay solutions of the unknown function will be interpolated using previous values and the ...
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VARIATION FORMULAS OF SOLUTION FOR A CONTROLLED FUNCTIONAL-DIFFERENTIAL EQUATION CONSIDERING DELAY PERTURBATION
... an equation with respect to perturbations is called the variation formula of solution (variation ...of delay are given in ...controlled delay functional-differential ...
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Initial functions defining dominant positive solutions of a linear differential equation with delay
... and delay r is a positive constant, is considered for t → ...and delay r, a class of positive linear initial functions defines dominant positive solutions with positive limit for t → ...
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Stabilization of third order differential equation by delay distributed feedback control
... The paper consists of the following sections. In Sect. 2, we formulated known results which are used in the proofs. In Sect. 3, auxiliary results on the Cauchy function for or- dinary differential equations of the third ...
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Asymptotic behavior of a third order nonlinear neutral delay differential equation
... Numerous research activities are concerned with the oscillation of solutions to different functional differential equations, for some related contributions, we refer the reader to [–] and the references cited therein. ...
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Oscillatory behavior for nonlinear delay differential equation with several non-monotone arguments
... See, for example, [1, 2, 3, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 18, 19, 20, 23] and references cited therein. The first systematic study for the oscillation of all solutions of equation (1.5) was made by Myshkis. ...
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Representation of solution for a linear fractional delay differential equation of Hadamard type
... fractional delay differential equation of Hadamard ...Mittag-Leffler delay matrix functions with logarithmic functions and analyzing their properties, we derive the representation of solutions via the ...
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A Note on a Semilinear Fractional Differential Equation of Neutral Type with Infinite Delay
... and delay differential equations lead to investigations of functional differential equations of various types see the books by Hale and Verduyn Lunel 1, Wu 2, Liang et ...
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On stability regions of the modified midpoint method for a linear delay differential equation
... where a, b, τ ∈ R , τ > . In particular, we compare the obtained conditions with results known for another numerical discretization applied to () and also with asymptotic stabil- ity conditions for delay ...
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On stability and boundedness of solutions of a certain fourth order delay differential equation
... used Lyapunov functions to give sufficient conditions for stability and boundedness of a first-order and a second-order delay differential.. utilized his theorems to determine stability [r] ...
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A delay differential equation model of mealybugs and green lacewings
... time delay to investigate the population dynamics of mealybugs (a major insect pest of cassava) and green lacewings (a natural enemy of mealybug) when the time delay in the development of green lacewings is ...
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The Bezier Control Points Method for Solving Delay Differential Equation
... Delay differential equations are type of differential equa- tions where the time derivatives at the current time de- pend on the solution, and possibly its derivatives, at pre- vious ...
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Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation
... Delay differential equations have received increasing attention during recent years since these equa- tions have been proved to be valuable tools in the modeling of many phenomena in various fields of ...
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Asymptotic behavior of an odd-order delay differential equation
... Analysis of the oscillatory and non-oscillatory behavior of solutions to different classes of differential and functional differential equations has always attracted interest of re- searchers; see, for instance, [–] and ...
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Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments
... Zhang, Oscillation of first order linear differential equations with deviating arguments, Differential Integral Equations, 1 (1988), 305-314.. [9] N.[r] ...
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Invariant curves for a delay differential equation with a piecewise constant argument
... The study of differential equations with piecewise constant argument (EPCA) initiated in [, ]. These equations represent a hybrid of continuous and discrete dynamical systems and combine the properties of both ...
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Periodic solution for a delay integro-differential equation in biomathematics
... has been considered in [4], [5], [9], [8], [13] and [10] where sufficient conditions for the existence of nontrivial periodic nonnegative and continous solutions for this equation are given in the case of a ...
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